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High School Math Worksheets

Math Worksheets / High School Math Worksheets

An outstanding set of math worksheets for high school students. We are a trusted provider of math worksheets for high school children in 9th and 10th Grade. Our high school math worksheets are fun and differentiated and are perfect for use in the classroom or for home schooling. We offer common core aligned math worksheets on algebra, statistics, geometry… and much more. Join over 50,000 teachers, parents and schools around the world and start using Cazoom Math worksheets today! 😃

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High School Math Worksheets

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High School Math Worksheets

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  • Over 200 pages of the highest quality High School math worksheets. Each worksheet is differentiated, including a progressive level of difficulty as the worksheet continues.
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  • Single digital pdf download, with worksheets organised into high level chapters of Algebra, Statistics, Number and Geometry, and further by subtopics. See below for the extensive range of sheets included.

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List of Topics

Our High School printable math worksheets cover the full range of topics. See below the list of topics covered. All our math worksheets can be accessed here.

PEDMAS Expanding Brackets Factorising Indices Inequalities Linear Functions Real Life Graphs Rearranging Equations Sequences Simplification Solving Equations Substitution

  • Calculator Methods Decimals Fractions Fractions Decimals Percentages Mental Methods Negative Numbers Percentages Place Value Powers Proportion Ratio Rounding Time Types of Number Written Methods
  • 2D Shapes 3D Shapes Area and Perimeter Bearings Scale and Loci Circles Compound Measures Constructions Coordinates Lines and Angles Polygons Pythagoras Similarity and Congruence Transformations Volume and Surface Area
  • Histograms and Frequency Polygons Mean Median Mode Pie Charts and Bar Charts Probability Scatter Graphs Stem-and-Leaf Diagrams Two-Way Tables and Pictograms

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Free Math Worksheets — Over 100k free practice problems on Khan Academy

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That’s because Khan Academy has over 100,000 free practice questions. And they’re even better than traditional math worksheets – more instantaneous, more interactive, and more fun!

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Kindergarten, basic geometry, pre-algebra, algebra basics, high school geometry.

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Statistics and probability

High school statistics, ap®︎/college statistics, precalculus, differential calculus, integral calculus, ap®︎/college calculus ab, ap®︎/college calculus bc, multivariable calculus, differential equations, linear algebra.

  • Addition and subtraction
  • Place value (tens and hundreds)
  • Addition and subtraction within 20
  • Addition and subtraction within 100
  • Addition and subtraction within 1000
  • Measurement and data
  • Counting and place value
  • Measurement and geometry
  • Place value
  • Measurement, data, and geometry
  • Add and subtract within 20
  • Add and subtract within 100
  • Add and subtract within 1,000
  • Money and time
  • Measurement
  • Intro to multiplication
  • 1-digit multiplication
  • Addition, subtraction, and estimation
  • Intro to division
  • Understand fractions
  • Equivalent fractions and comparing fractions
  • More with multiplication and division
  • Arithmetic patterns and problem solving
  • Quadrilaterals
  • Represent and interpret data
  • Multiply by 1-digit numbers
  • Multiply by 2-digit numbers
  • Factors, multiples and patterns
  • Add and subtract fractions
  • Multiply fractions
  • Understand decimals
  • Plane figures
  • Measuring angles
  • Area and perimeter
  • Units of measurement
  • Decimal place value
  • Add decimals
  • Subtract decimals
  • Multi-digit multiplication and division
  • Divide fractions
  • Multiply decimals
  • Divide decimals
  • Powers of ten
  • Coordinate plane
  • Algebraic thinking
  • Converting units of measure
  • Properties of shapes
  • Ratios, rates, & percentages
  • Arithmetic operations
  • Negative numbers
  • Properties of numbers
  • Variables & expressions
  • Equations & inequalities introduction
  • Data and statistics
  • Negative numbers: addition and subtraction
  • Negative numbers: multiplication and division
  • Fractions, decimals, & percentages
  • Rates & proportional relationships
  • Expressions, equations, & inequalities
  • Numbers and operations
  • Solving equations with one unknown
  • Linear equations and functions
  • Systems of equations
  • Geometric transformations
  • Data and modeling
  • Volume and surface area
  • Pythagorean theorem
  • Transformations, congruence, and similarity
  • Arithmetic properties
  • Factors and multiples
  • Reading and interpreting data
  • Negative numbers and coordinate plane
  • Ratios, rates, proportions
  • Equations, expressions, and inequalities
  • Exponents, radicals, and scientific notation
  • Foundations
  • Algebraic expressions
  • Linear equations and inequalities
  • Graphing lines and slope
  • Expressions with exponents
  • Quadratics and polynomials
  • Equations and geometry
  • Algebra foundations
  • Solving equations & inequalities
  • Working with units
  • Linear equations & graphs
  • Forms of linear equations
  • Inequalities (systems & graphs)
  • Absolute value & piecewise functions
  • Exponents & radicals
  • Exponential growth & decay
  • Quadratics: Multiplying & factoring
  • Quadratic functions & equations
  • Irrational numbers
  • Performing transformations
  • Transformation properties and proofs
  • Right triangles & trigonometry
  • Non-right triangles & trigonometry (Advanced)
  • Analytic geometry
  • Conic sections
  • Solid geometry
  • Polynomial arithmetic
  • Complex numbers
  • Polynomial factorization
  • Polynomial division
  • Polynomial graphs
  • Rational exponents and radicals
  • Exponential models
  • Transformations of functions
  • Rational functions
  • Trigonometric functions
  • Non-right triangles & trigonometry
  • Trigonometric equations and identities
  • Analyzing categorical data
  • Displaying and comparing quantitative data
  • Summarizing quantitative data
  • Modeling data distributions
  • Exploring bivariate numerical data
  • Study design
  • Probability
  • Counting, permutations, and combinations
  • Random variables
  • Sampling distributions
  • Confidence intervals
  • Significance tests (hypothesis testing)
  • Two-sample inference for the difference between groups
  • Inference for categorical data (chi-square tests)
  • Advanced regression (inference and transforming)
  • Analysis of variance (ANOVA)
  • Scatterplots
  • Data distributions
  • Two-way tables
  • Binomial probability
  • Normal distributions
  • Displaying and describing quantitative data
  • Inference comparing two groups or populations
  • Chi-square tests for categorical data
  • More on regression
  • Prepare for the 2020 AP®︎ Statistics Exam
  • AP®︎ Statistics Standards mappings
  • Polynomials
  • Composite functions
  • Probability and combinatorics
  • Limits and continuity
  • Derivatives: definition and basic rules
  • Derivatives: chain rule and other advanced topics
  • Applications of derivatives
  • Analyzing functions
  • Parametric equations, polar coordinates, and vector-valued functions
  • Applications of integrals
  • Differentiation: definition and basic derivative rules
  • Differentiation: composite, implicit, and inverse functions
  • Contextual applications of differentiation
  • Applying derivatives to analyze functions
  • Integration and accumulation of change
  • Applications of integration
  • AP Calculus AB solved free response questions from past exams
  • AP®︎ Calculus AB Standards mappings
  • Infinite sequences and series
  • AP Calculus BC solved exams
  • AP®︎ Calculus BC Standards mappings
  • Integrals review
  • Integration techniques
  • Thinking about multivariable functions
  • Derivatives of multivariable functions
  • Applications of multivariable derivatives
  • Integrating multivariable functions
  • Green’s, Stokes’, and the divergence theorems
  • First order differential equations
  • Second order linear equations
  • Laplace transform
  • Vectors and spaces
  • Matrix transformations
  • Alternate coordinate systems (bases)

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Math Worksheets Land

Math Worksheets For All Ages

  • Math Topics
  • Grade Levels

We start with the concept of expressions. A big focus is how to use expressions in practical situations to help you solve problems. We then transition to inequalities and how expressions fir into that window. We have you begin to create your own equations to solve problems in complex situations. We also fit a great deal of measurement based problems in this set. We have letter-sized Algebra Math Posters .

Structure in Expressions

  • Interpret the Context of Expressions (HSA-SSE.A.1a) - This selection of worksheets has you consider much more than just the math that is being presented, but the purpose being your evaluation.
  • Algebraic Expressions (HSA-SSE.A.1a) - You will learn to create algebraic expression from math sentences.
  • Complicated Expressions (HSA-SSE.A.1b) - This is a great section to make sure that students are ready for upper level math.
  • Rewriting Expressions (HSA-SSE.A.2) - Being comfortable with navigating expressions is key to doing well in Algebra.
  • Solving Quadratic Equations (HSA-SSE.B.3a) - This form of equation has a high level of application to many everyday situations.
  • Completing the Square in a Quadratic Expression (HSA-SSE.B.3b) - This is a simple method for solving quadratics.
  • Properties of Exponents (HSA-SSE.A.3c) - We look a every aspect of exponents.
  • Writing Expression for Geometric Sequences (HSA-SSE.B.4) - Being able to model geometric sequences with math is a very elegant form of math.

Polynomials & Rational Expressions

  • Polynomial Addition and Subtraction (HSA-APR.A.1) - It is a great deal of identifying like terms.
  • Polynomial Multiplication (HSA-APR.A.1) - It is easier than it sounds.
  • Adding, Multiplying, and Subtracting Monomials (Related to: HSA-APR.A.1) - Monomials are bit easier to work with.
  • Polynomial Division (Related to: HSA-APR.A.1) - This takes some time to get comfortable with.
  • Applying the Remainder Theorem (HSA-APR.B.2) - This constant helps us make sense of polynomials.
  • Identifying Zeros of Binomials (HSA-APR.B.3) - Not that difficult of a topic, but the applications in Physics are pretty steep.
  • Proving Polynomial Identities (HSA-APR.C.4) - These are equations that are always true for all possible values of the variables that are involved.
  • Binomial Theorem for Expansion (HSA-APR.C.5) - The larger the power you are considering the more difficult it will be to expand an expression.
  • Rewriting Rational Expressions (HSA-APR.D.6) - If you are comfortable with equations, expressions are pretty much the same level of difficulty.
  • Adding and Subtracting Rational Expressions (HSA-APR.D.7) - This happens a lot when we are combining values.
  • Multiplying and Dividing Rational Expressions (HSA-APR.D.7) - This is when we are full on evaluating a system.
  • Multiplying Binomials (HSA-APR.D.7) - Four forms of multiplication take place here.

Creating Equations

  • Creating Equations and Inequalities (HSA-CED.A.1) - You will be given a scenario and you will need to make sense of the situation by writing your own equation or inequality to model it.
  • Creating Equations with Two or More Variables (HSA-CED.A.2) - When you have more than just one missing part.
  • Graphing Equations (HSA-CED.A.2) - Being able to visualize an equation is a powerful thing.
  • Graphing Linear Equations (HSA-CED.A.2) - We focus on the relationships that can be identified by a line or trend.
  • Word Problems That Require Equations or Inequalities (HSA-CED.A.3) - These problems will help you grow and become a better problem solver.
  • Rearranging and Understanding Formulas (HSA-CED.A.4) - This is what Physics and Chemistry are all about. Outside of actually understanding the formulas.

Reasoning with Equations & Inequalities

  • Explaining How to Solve Equations (HSA-REI.A.1) - Now you are asked to talk us through your thought process here.
  • Solve Rational and Radical Equations (HSA-REI.A.2) - Radicals can make things difficult, if a perfect square is not present.
  • Multiplying Radical Expressions (HSA-REI.A.2) - We focus on finding products and include negative values.
  • Solving Linear Equations and Inequalities in One Variable (HSA-REI.B.3) - Work through that one variable to make it easier for you.
  • Quadratic Equations: Completing the Square (HSA-REI.B.4a) - A method that helps you to quicker solution.
  • Quadratics: Using Square Roots and Zero Property (HSA-REI.B.4b) - This can be applied when the conditions are set just right.
  • Solving Quadratic Equations By Factoring (HSA-REI.B.4b) - If the quadratic is pretty standard, you can often apply this procedure to it.
  • Using the Quadratic Formula (HSA-REI.B.4b) - It has so many daily applications in the real world, you would be surprised.
  • Finding and Using the Discriminant (SA-REI.B.4b) - This tells us how possible solutions exist.
  • Solving Systems of Equations (HSA-REI.C.5) - When two or more equations share the same variable, this applies.
  • Solving Systems Word Problems (HSA-REI.C.5) - They are commonly found in word problems that you would not assume.
  • Binary Operation Tables (HSA-REI.C.5) - Computer programmers think in this type of environment constantly.
  • Solving Systems of Linear Equations by Graphing (HSA-REI.C.6) - Just find where they meet.
  • Solving Simultaneous Equations (Linear and Quadratics) (HSA-REI.C.7) - This is great exercise for Algebra students.
  • Linear Equations as a Matrix Equation (HSA-REI.C.8) - This is just another approach you should that you can take with it.
  • Finding the Inverse of a Matrix (HSA-REI.C.9) - The same concept as a reciprocal.
  • Using Graphs of Equations (HSA-REI.D.10) - The can be helpful and you can gain a lot of insight from them.
  • Finding Points of Intersection for Complex Equations (HSA-REI.D.11) - This is helpful for solving small systems.
  • Advanced Absolute Value Operations (HSA-REI.D.11) - This is whole next level.
  • Graphing Linear Inequalities as a Half-Plane (HSA-REI.D.12) - This can tell you where a solution possibly exists.

What is Algebra?

A branch of math, which includes numbers as well as symbols or letters of the alphabet for solving problems, is called Algebra. These symbols or letters are used to denote an unknown value. For example, if someone asks you a question, but you don't know the answer, the answer that has to be searched will be regarded as "x." Algebra is essential to math since it helps in finding solutions to most of the problems quite easily and quickly. To solve a problem, we create what is called an "equation." Whenever an expression entails a = sign, it is called equation. We study lots of fun things in algebra! Graphs, functions and relations, exponents, linear equations, and so much more! Algebra will also help you get a better understanding of Geometry, Trigonometry, Calculus, Arithmetic, etc.

Tips for learning Algebra - If you get the jitters whenever you hear "algebra," then the first thing you need to do is calm down. And now, let us help you! Here are a few tips for you: 1. Don't forget that every math function comes down to basic addition and subtraction. Even multiplication and division are just slightly complex ways to add and subtract. Get your grip on basic math operations; the rest is easy. 2. Never forget the "PEMDAS." Whenever you are hit with an equation, the idea is to simplify it. The order of simplification is Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction. 3. In algebra, negative numbers are commonly used. So it's always a plus point in learning how to add, subtract, multiply and divide negative numbers before switching to algebraic equations. 4. When you see alphabets or variables, don't get confused. Just think of them as unknown numbers. This will make it easier for you to understand what step you have to take next. 5. Always remember to start working from left to right. 6. Review all the basic rules for math operations in algebra. They really ease solving sums! 7. There's no rush, always do your work carefully. And don't forget to recheck!

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Math = Love

Algebra 1 Activities Collection

Categories Algebra Activities & Resources

This blog post contains Amazon affiliate links. As an Amazon Associate, I earn a small commission from qualifying purchases.

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I taught Algebra 1 to high school students for six years. Over the course of those six years, I blogged about many of the Algebra 1 activities I created for them to do.

I hope you enjoy this round-up of 108 fun and engaging Algebra 1 activities. Let me know if you find an activity to use in your own classroom!

algebra 1 activities

Number Activities

Real number system nesting boxes.

three colorful boxes stacked one on top of the other with text

Build a set of DIY nesting boxes to help illustrate the real number system to students. When the integer box fits inside the rational number box, students will be able to visually see why every integer is a rational number but every rational number is not an integer.

Real Number System Card Activity

real number symbol on top of index card on orange background

I created this set of real number system cards several years ago to give my students much-needed practice determining which subsets of the real number system a number belongs to.

Rational and Irrational Numbers Exploration Activity

compass and map in background with text

This exploration activity will get students thinking about what happens when you perform various operations with rational and irrational numbers.

Always Sometimes Never Dice Activity for Real Number System

photograph of colorful dice with text

I created this always sometimes never dice activity for classifying numbers according to the real number system. We completed this after sorting numbers using our Real Number System Nesting Boxes. I always hated Always, Sometimes, Never questions when I did them as a geometry student in high school. But, I decided to give it a try with my students.

Always Sometimes Never for Absolute Value, Opposite, Reciprocal, and Opposite Reciprocal

large question mark on mathematical background with text:

These Always Sometimes Never questions will get students thinking about the meaning of absolute value, opposite, reciprocal, and opposite reciprocal.

“One Incorrect” Order of Operations Activity

one incorrect activity for order of operations

I love this One Incorrect Order of Operations Activity that was shared by Greta Bergman. Students are given 8 expressions. 7 of the expressions simplify to -13. 1 of them doesn’t.

War Activity for Practicing Absolute Value, Opposite, Reciprocal, and Opposite Reciprocal

war card game to practice vocabulary of

This War activity will give students lots of practice with math vocabulary including absolute value, opposite, reciprocal, and opposite reciprocal.

Roll a Number Dice Activity for Practicing Absolute Value, Opposite, Reciprocal, and Opposite Reciprocal

roll a number dice activity with photograph of hand tossing colorful dice in air

Rolling dice to generate random numbers for an activity always makes for a lot of fun. This Roll a Number Dice activity for reviewing absolute value, opposite, reciprocal, and opposite reciprocal is no exception!

Order of Operations Question Stack Activity

order of operations question stack activity

I created this order of operations question stack activity to give my Algebra 1 students extra practice applying the order of operations to some rather involved expressions. These order of operations questions are specially designed to expose students to various grouping symbols including parentheses, brackets, absolute value bars, radicals, and fraction bars.

Missing Parentheses Order of Operations Puzzle

missing parentheses order of operations activity

Can you use your knowledge of the order of operations to put the missing parentheses back in each number sentence?

Two Truths and a Lie: Absolute Value, Opposite, Reciprocal, and Opposite Reciprocal

2 truths and a lie absolute value, opposite, reciprocal, opposite reciprocal

Practice the vocabulary of absolute value, opposite, reciprocal, and opposite reciprocal with this engaging 2 truths and a lie activity.

Speed Dating Activity for Absolute Value, Opposite, Reciprocal, and Opposite Reciprocal

speed dating activity for absolute value, opposite, reciprocal, and opposite reciprocal vocabulary with clipart of sand timer

Speed Dating is one of my favorite ways to get students out of their seat to practice. I only use this practice structure with topics that allow students to quickly do a problem in their head.

Expressions Activities

Mmm exponent task and card sort activity.

three letter M's that look like they have been cut out of a newspaper

This lovely exponent task helps teachers assess if students really understand what exponents and coefficients mean.

Teaching the Distributive Property with Combo Meals

photograph of fast food combo meal with text

Help your Algebra 1 students gain a strong understanding of the distributive property with a fun lesson based on the concept of fast food combo meals.

Distributive Property Self-Checking Question Stack Activity

distributive property question stack activity

Students will get lots of practice working with the distributive property in this self-checking question stack activity.

“One Incorrect” Distributive Property Activity

one incorrect activity for distributive property

In this activity, students were given eight different algebraic expressions that needed to be simplified through applying the distributive property and combining like terms. Seven of the eight expressions simplify to the expression in the center. Find the one that doesn’t.

Factoring vs Distributing Card Sort Activity

factoring vs distributing card sort activity

I created this factoring vs distributing card sort activity to show my algebra students that factoring isn’t something to be afraid of. It’s just the opposite of distributing.

Combining Like Terms Maze

combining like terms maze

To give my Algebra 1 students some practice on combining like terms, I assigned them to work through a combining like terms maze in their groups.

Two Truths and a Lie Combining Like Terms Activity

2 truths and a lie: combining like terms

Check out how to use the 2 Truths and a Lie structure to have students think critically about combining like terms.

Combining Like Terms Cut and Paste Activity

This Combining Like Terms Cut and Paste Activity really helps students understand what a term is in an expression.

Exponent Rules Review Game – The Game of Grudge

child's block with letter X with text "game of grudge exponent rules" 

To kick off our review of exponent rules, we played an exponent rules review game that I found on Nathan Kraft’s blog.

Exponent Rules Card Sort Activity and Karuta Game

exponent rules card sort activity

After creating a foldable book of exponent rules, my students needed some practice problems. This was the perfect time to pull out an exponent rules card sort activity.

Exponent Rules Review Game with ACT Questions and Distractors

I created this exponent rules review game in February of 2020. It exposes students to actual ACT questions from past released exams, and it gives students a chance to play the role of exam writer by crafting tricky distractors for each question.

Evaluating Expressions Sorting Cards Activity

This sorting cards activity for evaluating expressions can be used several different ways in any algebra classroom!

“One Incorrect” Evaluating Expressions Activity

one incorrect activity for evaluting expressions

I gave my Algebra 1 students a One Incorrect Activity from Greta Bergman to give them some extra practice with evaluating expressions. Students had to evaluate expressions until they found the one that didn’t equal 36.

Add Em Up Activity for Non-Standard Operations

add em up activity for non-standard operations

I created this Add Em Up Activity to practice one of the new skills included in Oklahoma’s math standards – non-standard operations.

Non-Standard Operations Sorting Activity

This sorting activity gives students lots of practice with various problems involving non-standard operations.

Translating Algebra Dry Erase Mat Activity

Use this dry erase mat to figure out what students already know about translating between algebra and words before you jump into your lesson!

Translating Algebra Around the Room Activity

I created this Translating Algebra Around the Room Activity to give my students extra practice translating expressions, equations, and inequalities. This activity is structured in such a way to emphasize that there is not one correct way but many ways to write a math problem in words.

Evaluating Expressions Question Stack Activity – Basic

open binder on desk with pencil with text

Students will get lots of practice working with evaluating expressions in this self-checking question stack activity.

This version includes very basic expressions.

Evaluating Expressions Question Stack Activity – Advanced

evaluating expressions question stack activity (advanced level)

This version includes much more complex expressions.

Translating Algebra Flyswatter Game

pink flyswatter with text

Help students remember which expressions go with which operation in this fun, action-packed flyswatter game.

Exponent Rules Match-Up Activity

exponent rules match up activity

I ran across this exponent rules match-up activity in the Algebra Activities Instructor’s Resource Binder from Maria Andersen. It was the perfect activity to review exponent rules with my students!

Area Model for Teaching Distributive Property and Factoring

NCTM Illuminations has an excellent PDF based resource on using the area model to teach both the distributive property and factoring out the greatest common factor. I used this resource frequently during the six years I taught Algebra 1.

Parenthetical Promise for Evaluating Expressions

Your Algebra 1 students will never forget to use parentheses when substituting values into an algebraic expression after you make them take the parenthetical promise pledge.

In the past, I did a similar activity to this called Algebraic Oath Cards .

Translating Algebra Expression, Equation, and Inequality Card Sort

I created this Expression Equation Inequality Foldable to give my Algebra 1 students practice translating and sorting between expressions, equations, and inequalities. We glued the resulting foldable in our Algebra 1 interactive notebooks.

Equations Activities

Solving equations snowball fight activity.

solving equations snowball fight activity

Students will love solving equations, crumpling their paper into snowballs and having a fun and engaging snowball fight in math class!

Solving Equations Auction Review Game

gavel with text

Can students solve the equations correctly so they know which lots to bid on and which to avoid in this fun solving equations auction review game?

Solving Equations with Variables on Both Sides Sorting Activity

Give your students lots of much-needed practice solving equations with variables on both sides with this fun sorting activity.

Open Middle Style Activity for Equations with One/No/Infinite Solution(s)

This Open Middle Style activity will really assess whether students understand what will make an equation have one solution, infinite solutions, or no solution.

Literal Equations Scavenger Hunt Activity

Get students up and moving around the room while solving literal equations with this fun, easy-to-create scavenger hunt activity.

Literal Equations Connect 4 Activity

connect 4 board game with text

I highly recommend this Literal Equations Connect 4 Activity from Math by the Mountain. It is a free download on Teachers Pay Teachers, and my students absolutely loved it. When we stopped the activity, my students literally begged to do more!

Leveled Practice Cards Activity for Absolute Value Equations

I created these leveled practice cards for solving absolute value equations when I taught Algebra 1. There are three levels of problems so that students can start with problems of an appropriate difficulty level.

Systems of Equations Activities

Acrobats grandmas and ivan systems of equations task.

This visual systems of equations task from Marilyn Burns is a true classic!

All Tied Up In Knots Systems of Equations Exploration Activity

all tied up in knots systems of equations activity

I first experienced the All Tied Up in Knots activity for exploring systems of equations at a Common Core workshop I attended in the summer of 2013. I finally tried the activity in my classroom with my Algebra 2 students, and it was an awesome introduction to solving systems of equations.

Balancing Act Puzzles

chalk drawing of scale with

These balancing act puzzles from Heather Sparks make a great bellwork activity. They are also a great addition to units on equations or systems of equations.

Inequalities

One variable inequalities square puzzle activity.

I want to highlight this one variable inequalities square puzzle shared by Public Schools of North Carolina in their Resources for Algebra Blackline Masters collection (page 1 of PDF). The file no longer exists online, but an archived version still exists due to the Internet Archive.

One Variable Inequalities Card Sort Activity

I created this one variable inequalities card sort activity for my Algebra 1 students to complete before we moved on to looking at two variable inequalities. Students are given five number lines and five equations/inequalities to match up.

Graphing Solutions on a Number Line Speed Dating Activity

speed dating activity with graphing solutions on a number line

This speed dating (or quiz quiz trade) activity will help students learn how to graph solutions on a number line.

Compound Inequalities Question Stack Activity

compound inequalities question stack activity

This Compound Inequalities Question Stack is a great self-checking activity to give your algebra students some much-needed practice with solving and graphing compound inequalities on a number line. I originally created this activity to use with my Algebra 1 students.

Inequalities Investigation Activity

greater than symbol with arrow pointing to less than symbol

This investigation activity helps students understand why we have to flip the inequality symbol when multiplying or dividing both sides of an inequality by a negative.

Slope Activities

Slope dude says game.

Last week, we got to play one of my favorite algebra games ever: Slope Dude Says. Before playing the game, I had to make sure my students had been introduced to Slope Dude.

Four Types of Slope Pictures

Check out the awesome artwork created by my Algebra 1 students using the four different types of slope.

Slope Treasure Hunt Activity

slope treasure hunt activity

When I taught Algebra 1, I ran across a fun slope treasure hunt activity for practicing the concept of slope (or gradient, for my international readers). My Algebra 1 students really enjoyed this slope treasure hunt. The activity is appropriate for middle school math as well.

Crow and the Pitcher Activity for Introducing Rate of Change

drawing of crow placing round stone in pitcher

This crow and the pitcher activity for introducing the concept of rate of change was a huge hit with my Algebra 1 students. My math students loved getting out the science lab materials to do a lab activity since they usually only see the labs I have set up for my physical science students.

Four Types of Slope Name Art Activity

This slope name art activity is the perfect way to introduce students to the four types of slope.

Slope Art Assignment

During my first year of teaching, I assigned my students to draw a picture and label the different types of slope in the picture to create slope art.

Finding Rate of Change from a Graph Hole Punch Activity

I created this hole punch activity to give my Algebra 1 students practice finding rate of change from a graph. When I teach Algebra 1, I intentionally avoid using the word slope for as long as possible.

Average Rate of Change Self-Checking Question Stack Activity

average rate of change self-checking question stack activity

Practice finding average rate of change from equations, graphs, and tables with this self-checking question stack activity.

Linear Graphing Activities

Linear auction activity.

gavel with text

This linear auction activity was a fun way to practice linear vs non-linear functions in Algebra 1.

Flyswatter Review Game for Different Forms of Linear Equations

pile of colorful flyswatters with text

I created this flyswatter review game to give my Algebra 1 students practice identifying the different forms of linear equations.

Standard Form of a Linear Equation Cut and Paste Activity

After my Algebra 1 students finished their standard form of a linear equation foldable, I created a standard form cut and paste activity for my students to complete. I chose an equation in standard form that I wanted them to practice converting to slope intercept form. I printed each piece of the process on colored paper to give to my students to unscramble and arrange.

Linear Equation of the Day Routine

geometry tools with text of

I implemented this linear equation of the day routine in my Algebra 1 class to help keep them graphing throughout the year in order to keep the concepts fresh in our brains for the end-of-instruction exam at the end of the year.

Linear Functions Stacking Cups Lesson

stacks of red solo plastic cups with text

Introduce linear functions with a fun and engaging lesson about how many cups must be stacked to equal their teacher’s height.

Point-Slope Form Dice Activity

point slope form dice activity

I created this point-slope form dice activity for my Algebra 1 students. They used foam dice to generate random points and then used Desmos to check that they had written the equation between those lines correctly using Desmos.

Turkeys in the Oven Game – Writing Linear Equations

turkeys in the oven review game with drawing of turkey inside oven

Looking for a fun game to give your algebra students practice writing linear equations from a graph? Check out this Turkeys in the Oven Game.

Graphing Linear Equations Activity with Transparencies

I love this graphing linear equations activity that uses transparencies. Students are given a coordinate plane template and a small strip of transparency paper with a straight line printed or drawn on it. Students have to use the transparent line to graph each of the following linear functions.

Linear vs Non-Linear Card Sort Activity

I created this linear vs non-linear card sort activity for my Algebra 1 students to glue in their interactive notebooks.

Two-Variable Inequalities

Two variable inequalities card sort activity.

I decided to create a two variable inequalities card sort activity to introduce the topic to students before we even took notes over the topic.

Graphing Inequalities Dry Erase Work Mat

I created this graphing inequalities work mat when I taught Algebra 1 to help my students conceptualize what it actually meant to graph an inequality. So often, I have a tendency to just give my students a set of steps to follow without making sure they understand why we are following those steps.

Relations and Functions Activities

Function auction activity.

function auction activity

One of my favorite activities for introducing the concept of a function in Algebra 1 is to host a Function Auction.

Function vs Not a Function Card Sort Activity

This function vs not a function card sort activity is the perfect way to assess whether or not students can apply the definition of a function to determine whether a relation is or is not a function. This card sort activity provides students practice classifying graphs, tables (both horizontal and vertical tables), ordered pairs, and mapping diagrams as either a function or not a function.

Evaluating Functions War

evaluating functions activity war card game with graphing calculator in background

Do you want to play a game of evaluating functions war? My Algebra 1 students are required to be able to evaluate functions from a table, equation, or graph. Last year, I taught these as separate skills. This year I combined the skills and created this engaging and fun game to give my students lots of much-needed practice evaluating functions.

Evaluating Functions Spider Puzzles

evaluating functions spider puzzle with clipart of mindmap

This Evaluating Functions Spider Puzzle was the perfect practice activity for my Algebra 1 students. These spider puzzles are the creation of Andy Lutwyche, and they are a free download on TES. Andy has created spider puzzles for many other topics as well that are well worth checking out!

Representations of a Relation Telephone Game

representations of a relation telephone game with a blue telephone handset

I created this representations of a relation telephone game to give my Algebra 1 students practice switching between the four different representations of a relation: set of ordered pairs, input/output table, coordinate plane, and mapping diagram.

Function Machines Activity

This function machines activity from CPM never fails to get students engaged and doing lots of math!

Evaluating Functions Puzzle

After making my Function (or Not) Puzzle to give students practice classifying relations as a function or not a function, I was eager to make a similar open middle style activity to practice a different skill. I settled on creating an evaluating functions activity that would give students practice evaluating functions.

Function vs Not a Function Puzzle Activity

I created this function vs not a function puzzle to help my students practice determining if a relation is a function or not a function.

Interactive Domain and Range Foldable

I used the same cards that we used for Domain and Range Pictionary to create an interactive domain and range foldable for my Algebra classes.

Domain and Range Pictionary Activity

Students are sure to get lots of practice with domain and range with this pictionary style activity!

Modeling Function Machines with Flip Chutes Activity

Help students to understand how function machines work with these hands-on flip chutes.

Drawing Boxes for Domain and Range

In the past, my students have always done a good job of finding domain and range from a table or set of ordered pairs in Algebra 1. This method of drawing boxes for domain and range has really helped them understand how to find domain and range from a graph.

“Win Some Cash!” Parent Functions Task

photograph of cash with text

I really liked how this Win Some Cash task went with my Algebra 1 student! It was a great introduction to different types of parent functions.

Domain and Range Challenge Activity

I created this set of 20 domain and range challenges for my Algebra 1 students to work though as a review for our quiz over domain and range.

Popcorn Graphs Activity

text of

This popcorn graphs activity is one of my favorite ways to practice writing stories for graphs with my Algebra 1 students.

Discrete vs Continuous Functions Card Sort Activity

Students were given six cards. Each card had ONE of the following filled in: situation, variables, or sketch of graph. As a class, we filled in the missing information and classified each card as discrete or continuous.

Discovering the Vertical Line Test Activity

Help your students discover the vertical line test for themselves!

Independent vs Dependent Variables Review Game

I created this ghosts in the graveyard review game to give my Algebra 1 students some much needed practice with independent vs dependent variables.

Independent vs Dependent Variables Card Sort Activity

In the past, some of my students really struggled with the difference between dependent and independent variables.  So, I created this card sort activity to try to remedy this.

DIY Shower Curtain Coordinate Plane

drawing of bathtub and shower curtain with words

Functions are fun when you teach them with this DIY shower curtain coordinate plane that you can easily make with supplies from the dollar store.

Quadratics Activities

Quadratic formula songs.

quadratics math problem photograph with text

One of my favorite ways to help students to memorize the quadratic formula is to lead them in quadratic formula songs. Here are several different songs I have used with students.

Factoring Quadratics Self-Checking Question Stack Activity

photograph of parabola with text

This self-checking question stack activity is the perfect introduction to factoring quadratics. Want to practice multiplying binomials instead? Just turn all of the cards over!

Quadratic Formula Memory Assignment

Looking for a fun way to practice the quadratic formula? Students have to recite the quadratic formula from memory to one teacher, one family member, and one additional person of their choosing.

Quadratic Formula Dry Erase Activity Template

quadratic formula dry erase template activity

After the success of using a quadratic formula template in my quadratic formula foldable, I decided to create a quadratic formula dry erase template for my students to use throughout the rest of the quadratics unit.

If the IRS had Discovered the Quadratic Formula

If the IRS had discovered the quadratic formula...

I ran across a PDF titled “If the IRS had discovered the quadratic formula…” while searching for something else related to quadratics. Kudos to Daniel J. Velleman from Amherst College for brightening my day!

Factoring Quadratic Trinomials with GCFs Self-Checking Question Stack Activity

photograph of binder open to page of notebook paper with text

Help your students gain confidence factoring trinomials with GCFs using this self-checking question stack activity.

X Puzzles Factoring Review Game

example of x puzzles factoring review game

I love using X Puzzles to introduce factoring quadratics. These puzzles are also known as sum and product puzzles since the goal of the puzzle is to find the two numbers that have a given sum and product. Read this blog post to learn about how I turned them into a fun review game!

Quadratic Area Puzzles

quadratic area puzzles

I am really liking these quadratic area puzzles from Chritsopher (Bow Tie Teacher on twitter) that are posted for free on TES.

Factoring Puzzle for Quadratic Trinomials

factoring quadratic trinomials puzzle for practicing factoring polynomials with movable pieces

I have been a fan of this factoring puzzle for factoring quadratic trinomials since I worked through it at a Common Core workshop I attended (OGAP) in the summer of 2013.

Shared Factors – A Quadratics Puzzle

Shared Factors Quadratics Puzzle by mathequalslove

Each side of the square shares a factor with each of its neighboring sides. Determine the missing values that make this statement true.

Factoring Quadratics Practice Activity (When a = 1)

factoring quadratics activity a=1

This matching activity is the perfect way to practice factoring monic quadratics (when a = 1).

ZERO Game to Introduce Factoring Quadratics

zero factoring quadratics game

Check out Shaun Carter’s ZERO game to help motivate students to why it might be useful to factor quadratics.

Vertex Form of a Quadratic Card Sort Activity

Students are given cards featuring six graphs of quadratics, six equations in vertex form, and six descriptions of the transformations needed to form the graph from the parent quadratic function.

Quadratic Formula Tangram Puzzle

I was inspired by Journal Wizard to create a Quadratic Formula Tangram Puzzle for my algebra students to glue in their interactive notebooks.

Wax Paper Parabolas

folded piece of paper in background with parabola drawn on top

Help students discover the parts of a parabola using this fun paper folding activity that produces a parabolic curve from only straight folds. This works especially well with wax paper !

Polynomials Activities

Building and naming polynomials activity.

building and naming polynomials activity with clipart image of toolbox full of tools

This building and naming polynomials activity never disappoints. I have used it with students almost every single year since creating it.

Naming Polynomials Speed Dating Activity

clipart of timer with text

This naming polynomials speed dating activity will get kids up and moving around the classroom and talking about math.

Adding and Subtracting Polynomials Activity

Today I want to share an Adding and Subtracting Polynomials Activity I created for my Algebra 1 students. One of our objectives in Algebra 1 is that students will be able to add and subtract polynomials. These polynomial building cards can be used for so many different activities!

Factoring Polynomials Square Puzzle Activity

factoring polynomials square puzzle activity with math background

I want to highlight this factoring polynomials square puzzle shared by Public Schools of North Carolina in their Resources for Algebra Blackline Masters collection (page 2 of PDF). The file no longer exists online, but an archived version still exists due to the Internet Archive.

Adding and Subtracting Polynomials in Function Notation Question Stack Activity

photograph of notebook and pen with text:

I created this adding and subtracting polynomials in function notation activity for my Algebra 1 students.

Human Polynomials Activity

students holding up pieces of paper with algebraic expressions on them to form a polynomial with text

This human polynomials activity gets students up and moving in math class. It is a great way to keep students engaged while building their math vocabulary skills.

Multiplying Polynomials Egg Hunt Activity

multiplying polynomials egg hunt activity

Students are always super engaged when I do egg hunt activities with them. This multiplying polynomials egg hunt activity is no exception.

Area Model Puzzles from Christie Bradshaw

These area model puzzles were a perfect introduction to the box method before we jumped into factoring using the box method!

Introducing Algebra Tiles to Students

algebra tiles in square bowl from dollar tree 

We broke out the algebra tiles in Algebra 1 this week to learn how to multiply polynomials. My students had never seen algebra tiles , so first I had to teach them how they work. Read more to learn how I introduce algebra tiles to students.

Polynomial or Not Color Coding Activity

After reviewing the definition of a polynomial , we completed this polynomial or not color coding activity. We glued the final results in our algebra interactive notebooks.

Radicals Activities

Simplifying radicals dry erase work mat.

Yesterday, I was able to use the simplifying radicals dry erase mat that I created to help my Algebra 1 students organize their work while simplifying radicals.

Dice Activity for Reviewing Square Roots

photograph of colorful dice with text

This dice -based activity is the best activity ever for reviewing square roots. I have never had more engaged students in my algebra classes!

Like Radicals Card Sort Activity

like radicals card sort activity

I created this like radicals card sort activity a few years ago when I was still teaching Algebra 1. Students are given 25 cards featuring radicals that range from square roots to fourth roots. Students must sort the cards into groups of like radicals.

Multiplying Radicals Square Puzzle Activity

I want to highlight this multiplying radicals square puzzle shared by Public Schools of North Carolina in their Resources for Algebra Blackline Masters collection (page 3 of PDF). The file no longer exists online, but an archived version still exists due to the Internet Archive.

Operations with Radicals Question Stack Activity

operations with radicals activity - question stack

Make practicing operations with radicals fun with this self-checking question stack activity.

Simplifying Radicals Puzzle

Students will get lots of practice simplifying radicals with this square tarsia puzzle.

Radicals: Which is the Smallest?

radicals task: which is the smallest with bedazzled radical symbol in center

I really like this lovely radicals task from Terry Stickels. It simply asks: Which of the following is the smallest?

This isn’t as quick a problem to answer as you might think it would be. It will definitely get you and your students thinking about radicals!

Why Do We Rationalize the Denominator Discovery Activity

I try to give my students a taste of history and the WHY of what we’re doing when we rationalize the denominator of a fraction.

Rationalizing the Denominator Question Stack Activity

rationalizing the denominator activity (question stack)

This self-checking activity will help your Algebra 1 students gain fluency with rationalizing the denominator.

Radicals Vocabulary Knowledge Rating Activity

vocabulary knowledge rating chart

Help students reflect on the development of their vocabulary related to radicals before, during, and after your unit.

Sequences Activities

Arithmetic geometric or neither color coding activity.

My Algebra students completed this arithmetic geometric or neither color coding activity after we created our arithmetic, geometric, or neither foldable in our interactive notebooks.

Classifying Sequences Activity – Arithmetic, Geometric, or Neither?

I created this classifying sequences activity to give my algebra students practice distinguishing between geometric and arithmetic sequences. I also threw in some other sequences which we classified as neither.

Step Puzzles for Practicing Arithmetic Sequences

step puzzles by naoki inaba

Each line in the picture represents a different arithmetic sequence. Can you fill in the blank circles?

These creative puzzles are the creation of Naoki Inaba, a prolific Japanese puzzle creator.

Statistics and Data Analysis Activities

Level the towers activity for introducing mean.

This activity will help your students visually understand what we are doing to a data set when we find the mean.

Tenzi vs Splitzi Measures of Central Tendency Activity

This Tenzi vs Splitzi data collection activity was the perfect set-up for practicing finding measures of central tendency with my Algebra 1 students.

Always Sometimes Never Activity for Mean, Median, Mode, and Range

photograph of data displays with question mark on top of it with text

Check out this Always Sometimes Never Activity for Mean, Median, Mode, and Range. This was the perfect way to review the measures of central tendency with my Algebra 1 students. I used this activity as a last-minute review before our quiz over finding measures of central tendency.

Mean, Median, Mode, and Range Challenge Activity

mean median mode range challenge activity

Can you find a set of numbers that satisfies each challenge involving the mean, median, mode, and range of the data set?

Mean, Median, Mode, and Range Spider Puzzles

Students must add one number to the data set to make it have various means, medians, modes, and ranges. My students did not want to put this activity down!

Blind Stork Test for Data Collection

stork standing on one leg with text beside it

How hard can it be to stand on one foot with your eyes closed? Your students will find out with this fun blind stork test that is perfect for collecting data to analyze in Algebra 1.

Tenzi Data Collection Activity for Comparing Data Sets

tenzi data collection activity

Data collection is fun when it involves playing Tenzi ! Students will play various Tenzi variants and use their collected data to create boxplots which can be easily compared to determine “Which version of Tenzi is the hardest?”

Design Your Own Dot Plot Magnets

design your own dot plot magnets

Your Algebra 1 students will love creating their own custom magnet which can be used to create class dot plots.

Dot Plot of the Day Activity

dot plot of the day activity

Don’t settle for random data sets from your textbook to analyze. In this dot plot of the day activity, students will practice describing data sets involving data collected directly from their classmates.

How Many States Have You Visited Data Collection Activity

how many states have you visited data collection activity

Once you have created your dot plot magnets, ask your students “How Many States Have You Visited?” This is a great first dot plot to make and analyze as a class.

Dot Plot Matching Card Sort Activity

The numbers and labels are missing from these dotplots. Can you use your logical reasoning skills to match each dotplot with it represents?

Count the Objects Data Collection Task

How many items will your students count in the allotted time? Have your students create a graphical display of the results. How does the true value compare to the class results?

Analyzing the Ages of Academy Award Winners

This data set analyzing the ages of male and female academy award winners is the perfect introduction to back-to-back stem-and-leaf plots.

Highlights Hidden Pictures Data Collection Activity for Comparing Data Sets

Students were given a plastic sleeve  with a hidden picture puzzle and a card with a picture to locate within the puzzle, a MyChron timer , and a data recording sheet to glue into their interactive notebooks.  

Looking for Outliers in the OKC Thunder

basketball on court with text

Students will practice finding a five number summary and determining if there are any outliers by looking at salary data for the OKC Thunder.

Dry Erase Workmat for Finding Five Number Summary, IQR, and Outliers

Students use this helpful dry erase workmat to help them organize their work while finding the five number summary of a data set and using that to find IQR and outliers.

Estimating 30 Seconds Data Collection Activity

stop watch in corner with text of

How well can your students estimate 30 seconds? This is the perfect quick data collection activity to get a fun set of data to analyze.

Let’s Make a Graph Activity

I created this let’s make a graph activity to give my Algebra 1 students practice making various types of data displays. We needed to practice making bar graphs, box-and-whisker-plots, circle graphs, and stem-and-leaf graphs.

Scatterplot Activities

M&m’s scatter plot activity.

photograph of colorful m&m's with text "M&M's Scatter Plot Activity" 

Students take turns building scatter plots using m&m’s and having their classmates determine if the scatterplot has positive, negative, or no correlation.

Candy Grab Lab for Linear Regression

candy grab lab for linear regression

This Candy Grab Lab is one of my favorite ways to introduce students to the process of linear regression.

Twizzlers Linear Regression Lab

close-up of licorice with text

I learned about using twizzlers for linear regression from Tammy Ballard with Wake County Public Schools. I modified her activity to create my own twizzlers linear regression lab that met the needs of my specific group of algebra students.

Best Line of Best Fit Contest

line of best fit contest text above drawing of scatterplot

This Desmos activity kept students engaged and interested while learning how to draw lines of best fit by hand.

Hula Hoop Scatterplot Activity

stack of colorful hula hoops with text

This hula hoop scatterplot activity gets students moving in math class while learning about how to create a scatterplot and use that scatterplot and linear regression to make predictions.

Starburst Scatterplot Activity

This starburst scatterplot activity ended up being one of my favorite activities of the year!

Tongue Twister Linear Regression Activity

tongue twister linear regression activity with drawing of globe sticking out a tongue tied in a knot

I created this tongue twister linear regression activity for my algebra students to use while collecting tongue twister data in their small groups. Students work in groups to collect data regarding the amount of time it takes various numbers of people to recite a tongue twister.

Bouncing Tennis Balls Linear Regression Activity

pile of tennis balls with text

Warning: don’t try this bouncing tennis balls linear regression activity if your classroom is on the 2nd floor. The science teacher below your classroom will not appreciate it.

Linear Regression Activity with the True Colors Personality Test

colorful background with text

I was inspired to give my students the true colors personality test after attending a workshop where we did this personality test as one of our activities. We took turns going around the room saying what color we found as our result.

When comparing the amount of time it took for different numbers of students, we were able to perform a linear regression to figure out how long it would take the entire class to speak their results.

Probability Activities

Hex nut probability activity.

three hex nuts arranged in a line with text

All you need for this fun and engaging hex nut probability activity are hex nuts, empty soda bottles, and a plastic ring.

Mystery Box Probability Activity

cardboard box with open flaps with text

Can your students use their knowledge of probability to determine the contents of the mystery box ?

Blocko Probability Game

blocko probability game with linking cubes (or snap cubes)

This Blocko Probability game is perfect for introducing the difference between experimental and theoretical probability to students.

I play the game with linking cubes with my students, but you could actually use any collection of small items.

Probability Bingo

Probability Bingo Game with Two Wooden Dice

Probability Bingo is not your typical bingo game!

Students fill their bingo boards based on the color combinations they think will appear the most. The winner is the person who fills out their entire bingo board first.

Greedy Pig Dice Game

greedy pig dice game for practicing probability

I have been playing this greedy pig dice game with my students to practice probability since I learned it while student teaching!

All you need for this game is a set of dice !

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Algebra 1 Worksheets: FREE & Printable

Looking for free printable Algebra 1 worksheets and exercises to help you prepare for the Algebra I test?

Algebra 1 Worksheets: FREE & Printable

Want to measure your knowledge of Algebra 1 concepts and assess your exam readiness? Need the best Algebra 1 worksheets to help your students learn basic math concepts? If so, then look no further.

Here is a perfect and comprehensive collection of FREE Algebra 1 worksheets that would help you or your students in Algebra 1 preparation and practice.

Download our free Mathematics worksheets for Algebra 1.

Hope you enjoy it!

IMPORTANT: COPYRIGHT TERMS: Worksheets may not be uploaded to the internet, including classroom/personal websites or network drives. You can download the worksheets and print as many as you need. You can distribute the printed copies to your students, teachers, tutors, and friends. 

You Do NOT have permission to send these worksheets to anyone in any way (via email, text messages, or other ways). They MUST download the worksheets themselves. You can send the address of this page to your students, tutors, friends, etc.

The Absolute Best Book to Ace the Algebra 1 Test

Algebra I for Beginners The Ultimate Step by Step Guide to Acing Algebra I

Algebra 1 concepts.

  • Translate Phrases into an Algebraic Statement
  • Order of Operations
  • Properties of Numbers
  • The Distributive Property
  • Scientific Notation

Expressions and Equations

  • Simplifying Variable Expressions
  • One–Step Equations
  • Multi–Step Equations
  • Finding Midpoint
  • Finding Distance of Two Points
  • Absolute Value Equations

Linear Functions

  • Finding Slope
  • Graphing Lines Using Line Equation
  • Writing Linear Equations
  • Graphing Linear Inequalities
  • Slope and Rate of Change
  • Find the Slope x–intercept and y–intercept
  • Write an Equation from a Graph
  • Slope –intercept Form and Point –slope Form
  • Equations of Horizontal and Vertical Lines
  • Equation of Parallel or Perpendicular Lines
  • Graphing Absolute Value Equations
  • Greatest Common Factor
  • Least Common Multiple
  • GCF of Monomials
  • Factoring Quadratics
  • Factoring by Grouping

Inequalities and System of Equations

  • One–Step Inequalities
  • Two–Step Linear Inequalities
  • Advanced Linear Inequalities
  • Solve Compound Inequalities
  • Solve Absolute Value Inequalities
  • Systems of Equations
  • Systems of Equations Word Problems

Monomials Operations

  • Add and Subtract Monomials
  • Multiply and Divide Monomials
  • Quadratic Equation
  • Graphing Quadratic Functions
  • Quadratic Equations
  • Solve a Quadratic Equation by Factoring
  • Quadratic Formula and Transformations of Quadratic Functions
  • Quadratic Formula and the Discriminant

Polynomial Operations

  • Simplifying Polynomials
  • Adding and Subtracting Polynomials
  • Multiplying a Polynomial and a Monomial
  • Multiply Two Polynomials
  • Multiply Two Binomials
  • Operations with Polynomials
  • Factor Polynomials
  • Factoring Special Case Polynomials

Radical Expressions

  • Simplifying Radical Expressions
  • Multiplying Radical Expressions
  • Simplifying Radical Expressions Involving Fractions
  • Adding and Subtracting Radical Expressions
  • Domain and Range of Radical Functions
  • Solving Radical Equations

Rational Expressions

  • Simplifying and Graphing Rational Expressions
  • Adding and Subtracting Rational Expressions
  • Multiplying and Dividing Rational Expressions
  • Solving Rational Equations and Complex Fractions

 Statistics and Probabilities

  • Probability Problems
  • Combinations and Permutations

Statistics and Probabilities

A Perfect Workbook to Sharpen Your Math Skills!

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Algebra 1 practice questions, fractions and decimals, real numbers and integers, proportions and ratios, algebraic expressions, equations and inequalities, polynomials, exponents and radicals, solid figures.

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by: Effortless Math Team about 3 years ago (category: Blog , Free Math Worksheets )

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  • Writing variable expressions
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  • Number sets
  • Adding rational numbers
  • Adding and subtracting rational numbers
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  • The distributive property
  • Combining like terms
  • Percent of change
  • One-step equations
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  • Absolute value equations
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  • Distance-rate-time word problems
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  • Graphing one-variable inequalities
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  • Evaluating and graphing functions
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  • Writing linear equations
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  • Graphing absolute value equations
  • Direct variation
  • Solving systems of equations by graphing
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  • Systems of equations word problems
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  • Naming polynomials
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  • Finding excluded values / restricted values
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  • Finding trig. ratios
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Algebra Worksheets & Problems

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Page updated : 12 March 2018

Below are a number of worksheets covering elementary algebra problems.

Elementary Algebra is about manipulating mathematical expressions, with quantities represented by symbols e.g x, y or z. Using symbols instead of numbers makes it possible for work in a general rather than a specific way, and it allows us to manipulate and rewrite the relationships between quantities in different ways. This can also help with finding patterns.

Algebra is the generalization and representation, in symbolic form, of significant results and patterns in arithmetic and other areas of mathematics.

Calculus , an important branch of algebra, concerns itself with the study of behaviour of functions. It includes differential and integral calculus. Differential calculus is concerned with variations of functions, maximum and minimum values, gradients and approximations. Integral calculus is concerned with areas and volumes. Calculus has many applications in science.

Calculus was developed independently by Newton and Leibnitz in the 17th centuary.

High school math students can use these algebra problems for study purposes. High School Teachers - you're welcome to copy these worksheets for classroom use. Parents - if you'd like to help your child learn math we suggest you start with our math tutorial section before returning to use these worksheets.

Click on any heading to view the worksheet. All worksheets are printable, either as a .gif or .pdf.

ALGEBRA TUTORIALS

  • Solving Linear Equations Learn how to solve simple algebriac equations like 4x - 5 = 3x + 7 Single variable only This tutorial is suitable for students in Year 9 or 10
  • Solving Quadratic Equations What if the variable has a power of 2 or is squared? How to solve simple quadratic equations by square rooting and factorising. The first part of this tutorial is suitbale for Year 10 students. The second part of this tutorial is suitable for Year 11 students.
  • Introduction to Graphing - Cartesian Co-ordinates How to plot points on a graph. This tutorial is suitable for students in Year 9
  • Drawing Straight Line Graphs using the Tabular Method Examples of the general equation ... y = mx + c This tutorial is suitable for students in Year 9 or 10
  • Plotting Straight Line Graphs using the Intercept Method Using the intercept method to obtain an x-intercept and a y-intercept and then plotting a straight line graph. This tutorial is suitable for studentsin Year 10.
  • Drawing a Straight Line Graph using the Gradient Method For the graph y = mx + c we can use the gradient (m) and the intercept (c) to plot a straight line graph. This tutorial is suitable for students in Year 10.
  • Drawing Quadratic and Cubic Graphs An introduction to the quadratic and cubic graphs and using the tabular method to plot them. This tutorial is suitable for students in Year 11.

CALCULUS TUTORIALS

  • Introduction to Differentiation Definitions, worked examples and exercises with solutions. Your first step to calculus. This tutorial is suitable for students in Year 12.
  • Differentiation of Negative Indices & Rational Powers You should review the differentiation of positive powers first (above) as negative indices are managed in the same way but you need to take care with the signs. This tutorial is suitable for students in Year 12.
  • Applications of Differentiation Using derivatives to find the grandient of a tangent and normal of straight line graphs. This tutorial is suitable for students in Year 12 or 13.
  • Introduction to Integration Sometimes called antidifferentiation, integration is the process of finding the definite or indefinite integral of a function. This tutorial is suitable for students in Year 12.

A note about year levels

Where appropriate each worksheet is given a year level that it is applicable to. As we're all in different countries the year level corresponds to the number of years at school. So, for example, a worksheet for Year 11 is for students in their 11th year of school. Worksheets for earlier or later years may still be suitable for you.

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Algebra Worksheets

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Preview of GROWING BUNDLE Black History Month Math Activity Martin Luther King Symmetry

GROWING BUNDLE Black History Month Math Activity Martin Luther King Symmetry

free math worksheets for high school algebra

CSI Math Mysteries BUNDLE: Use Math to Solve! Google Classroom Distance Learning

free math worksheets for high school algebra

Consumer Math - Financial Literacy Curriculum BUNDLE

free math worksheets for high school algebra

Food Pixel Art Multiplication Bundle | 12 Digital Math Fact Activities

free math worksheets for high school algebra

Two-Step Equations Notes & Maze Activity

free math worksheets for high school algebra

Algebra Solving One and Two Step Equations Mazes

free math worksheets for high school algebra

Solving One-Step and Two-Step Equations Worksheet

free math worksheets for high school algebra

  • Easel Activity

Preview of FREE! Algebra 1 Formula Sheet/Cheat Sheet by Cute Calculus

FREE! Algebra 1 Formula Sheet/Cheat Sheet by Cute Calculus

free math worksheets for high school algebra

Fun Solving Two Step Equations Activity Mini Mystery FREE

free math worksheets for high school algebra

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Preview of Pre-Algebra Practice Worksheet: Combine Like Terms

Pre-Algebra Practice Worksheet: Combine Like Terms

free math worksheets for high school algebra

Exponent Rules Graphic Organizer

Preview of FREE Solving Multi-Step Equations Stations Maze Activity

FREE Solving Multi-Step Equations Stations Maze Activity

free math worksheets for high school algebra

Standard Form of Linear Equations | Cut and Paste Activity

Preview of Order of Operations Whodunnit Activity - Printable & Digital Game Options

Order of Operations Whodunnit Activity - Printable & Digital Game Options

free math worksheets for high school algebra

Math Murder Mystery! Evaluating Algebraic Expressions

free math worksheets for high school algebra

Finding Slope and Y-Intercept from a Table

free math worksheets for high school algebra

Mystery Picture (Shark) - Plotting Points on a Coordinate Plane

free math worksheets for high school algebra

FREE Adding and Subtracting Integers Middle School Math Maze

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Slope Guided Notes and Homework - FREE

free math worksheets for high school algebra

FREE Solving Multi-Step Equations Differentiated Math Mazes

Preview of Combining Like Terms Activity | Partner Activities FREE

Combining Like Terms Activity | Partner Activities FREE

Preview of CSI: Real Number System Activity - Printable & Digital Review Game

CSI: Real Number System Activity - Printable & Digital Review Game

Preview of Slope Poster

Slope Poster

free math worksheets for high school algebra

Free Solving One and Two Step Equations: Basic Guided Notes

free math worksheets for high school algebra

FREE Error Analysis: Solving Multi-Step Equations

Preview of Graphing Systems of Linear Equations - Math Notes Algebra

Graphing Systems of Linear Equations - Math Notes Algebra

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Solve One and Two Step Equations

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Solving and Graphing Inequalities - Foldable and Scavenger Hunt

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Common Core Mapping for High School: Algebra

Related Topics: Common Core for Mathematics Common Core Lesson Plans and Worksheets Algebra I

Algebra Overview

Seeing Structure in Expressions Interpret the structure of expressions Write expressions in equivalent forms to solve problems

Arithmetic with Polynomials and Rational Functions Perform arithmetic operations on polynomials Understand the relationship between zeros and factors of polynomials Use polynomial identities to solve problems Rewrite rational functions

Creating Equations Create equations that describe numbers or relationships

Reasoning with Equations and Inequalities Understand solving equations as a process of reasoning and explain the reasoning Solve equations and inequalities in one variable Solve systems of equations Represent and solve equations and inequalities graphically

Seeing Structure in Expressions

Arithmetic with Polynomials and Rational Expressions

Creating Equations

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Algebra Worksheets

Welcome to the Algebra worksheets page at Math-Drills.com, where unknowns are common and variables are the norm. On this page, you will find Algebra worksheets for middle school students on topics such as algebraic expressions, equations and graphing functions.

This page starts off with some missing numbers worksheets for younger students. We then get right into algebra by helping students recognize and understand the basic language related to algebra. The rest of the page covers some of the main topics you'll encounter in algebra units. Remember that by teaching students algebra, you are helping to create the future financial whizzes, engineers, and scientists that will solve all of our world's problems.

Algebra is much more interesting when things are more real. Solving linear equations is much more fun with a two pan balance, some mystery bags and a bunch of jelly beans. Algebra tiles are used by many teachers to help students understand a variety of algebra topics. And there is nothing like a set of co-ordinate axes to solve systems of linear equations.

Most Popular Algebra Worksheets this Week

Solving Quadratic Equations with Positive or Negative 'a' Coefficients up to 4

Algebraic Properties, Rules and Laws Worksheets

free math worksheets for high school algebra

The commutative law or commutative property states that you can change the order of the numbers in an arithmetic problem and still get the same results. In the context of arithmetic, it only works with addition or multiplication operations , but not mixed addition and multiplication. For example, 3 + 5 = 5 + 3 and 9 × 5 = 5 × 9. A fun activity that you can use in the classroom is to brainstorm non-numerical things from everyday life that are commutative and non-commutative. Putting on socks, for example, is commutative because you can put on the right sock then the left sock or you can put on the left sock then the right sock and you will end up with the same result. Putting on underwear and pants, however, is non-commutative.

  • The Commutative Law Worksheets The Commutative Law of Addition (Numbers Only) The Commutative Law of Addition (Some Variables) The Commutative Law of Multiplication (Numbers Only) The Commutative Law of Multiplication (Some Variables)

The associative law or associative property allows you to change the grouping of the operations in an arithmetic problem with two or more steps without changing the result. The order of the numbers stays the same in the associative law. As with the commutative law, it applies to addition-only or multiplication-only problems. It is best thought of in the context of order of operations as it requires that parentheses must be dealt with first. An example of the associative law is: (9 + 5) + 6 = 9 + (5 + 6). In this case, it doesn't matter if you add 9 + 5 first or 5 + 6 first, you will end up with the same result. Students might think of some examples from their experience such as putting items on a tray at lunch. They could put the milk and vegetables on their tray first then the sandwich or they could start with the vegetables and sandwich then put on the milk. If their tray looks the same both times, they will have modeled the associative law. Reading a book could be argued as either associative or nonassociative as one could potentially read the final chapters first and still understand the book as well as someone who read the book the normal way.

  • The Associative Law Worksheets The Associative Law of Addition (Whole Numbers Only) The Associative Law of Multiplication (Whole Numbers Only)

Inverse relationships worksheets cover a pre-algebra skill meant to help students understand the relationship between multiplication and division and the relationship between addition and subtraction.

  • Inverse Mathematical Relationships with One Blank Addition and Subtraction Easy Addition and Subtraction Harder All Multiplication and Division Facts 1 to 18 in color (no blanks) Multiplication and Division Range 1 to 9 Multiplication and Division Range 5 to 12 Multiplication and Division All Inverse Relationships Range 2 to 9 Multiplication and Division All Inverse Relationships Range 5 to 12 Multiplication and Division All Inverse Relationships Range 10 to 25
  • Inverse Mathematical Relationships with Two Blanks Addition and Subtraction (Sums 1-18) Addition and Subtraction Inverse Relationships with 1 Addition and Subtraction Inverse Relationships with 2 Addition and Subtraction Inverse Relationships with 3 Addition and Subtraction Inverse Relationships with 4 Addition and Subtraction Inverse Relationships with 5 Addition and Subtraction Inverse Relationships with 6 Addition and Subtraction Inverse Relationships with 7 Addition and Subtraction Inverse Relationships with 8 Addition and Subtraction Inverse Relationships with 9 Addition and Subtraction Inverse Relationships with 10 Addition and Subtraction Inverse Relationships with 11 Addition and Subtraction Inverse Relationships with 12 Addition and Subtraction Inverse Relationships with 13 Addition and Subtraction Inverse Relationships with 14 Addition and Subtraction Inverse Relationships with 15 Addition and Subtraction Inverse Relationships with 16 Addition and Subtraction Inverse Relationships with 17 Addition and Subtraction Inverse Relationships with 18

The distributive property is an important skill to have in algebra. In simple terms, it means that you can split one of the factors in multiplication into addends, multiply each addend separately, add the results, and you will end up with the same answer. It is also useful in mental math, an example of which should help illustrate the definition. Consider the question, 35 × 12. Splitting the 12 into 10 + 2 gives us an opportunity to complete the question mentally using the distributive property. First multiply 35 × 10 to get 350. Second, multiply 35 × 2 to get 70. Lastly, add 350 + 70 to get 420. In algebra, the distributive property becomes useful in cases where one cannot easily add the other factor before multiplying. For example, in the expression, 3(x + 5), x + 5 cannot be added without knowing the value of x. Instead, the distributive property can be used to multiply 3 × x and 3 × 5 to get 3x + 15.

  • Distributive Property Worksheets Distributive Property (Answers do not include exponents) Distributive Property (Some answers include exponents) Distributive Property (All answers include exponents)

Students should be able to substitute known values in for an unknown(s) in an expression and evaluate the expression's value.

  • Evaluating Expressions with Known Values Evaluating Expressions with One Variable, One Step and No Exponents Evaluating Expressions with One Variable and One Step Evaluating Expressions with One Variable and Two Steps Evaluating Expressions with Up to Two Variables and Two Steps Evaluating Expressions with Up to Two Variables and Three Steps Evaluating Expressions with Up to Three Variables and Four Steps Evaluating Expressions with Up to Three Variables and Five Steps

As the title says, these worksheets include only basic exponent rules questions. Each question only has two exponents to deal with; complicated mixed up terms and things that a more advanced student might work out are left alone. For example, 4 2 is (2 2 ) 2 = 2 4 , but these worksheets just leave it as 4 2 , so students can focus on learning how to multiply and divide exponents more or less in isolation.

  • Exponent Rules for Multiplying, Dividing and Powers Mixed Exponent Rules (All Positive) Mixed Exponent Rules (With Negatives) Multiplying Exponents (All Positive) Multiplying Exponents (With Negatives) Multiplying the Same Exponent with Different Bases (All Positive) Multiplying the Same Exponent with Different Bases (With Negatives) Dividing Exponents with a Greater Exponent in Dividend (All Positive) Dividing Exponents with a Greater Exponent in Dividend (With Negatives) Dividing Exponents with a Greater Exponent in Divisor (All Positive) Dividing Exponents with a Greater Exponent in Divisor (With Negatives) Powers of Exponents (All Positive) Powers of Exponents (With Negatives)

Knowing the language of algebra can help to extract meaning from word problems and to situations outside of school. In these worksheets, students are challenged to convert phrases into algebraic expressions.

  • Translating Algebraic Phrases into Expressions Translating Algebraic Phrases into Expressions (Simple Version) Translating Algebraic Phrases into Expressions (Complex Version)

Combining like terms is something that happens a lot in algebra. Students can be introduced to the topic and practice a bit with these worksheets. The bar is raised with the adding and subtracting versions that introduce parentheses into the expressions. For students who have a good grasp of fractions, simplifying simple algebraic fractions worksheets present a bit of a challenge over the other worksheets in this section.

  • Simplifying Expressions by Combining Like Terms Simplifying Linear Expressions with 3 terms Simplifying Linear Expressions with 4 terms Simplifying Linear Expressions with 5 terms Simplifying Linear Expressions with 6 to 10 terms
  • Simplifying Expressions by Combining Like Terms with Some Arithmetic Adding and simplifying linear expressions Adding and simplifying linear expressions with multipliers Adding and simplifying linear expressions with some multipliers . Subtracting and simplifying linear expressions Subtracting and simplifying linear expressions with multipliers Subtracting and simplifying linear expressions with some multipliers Mixed adding and subtracting and simplifying linear expressions Mixed adding and subtracting and simplifying linear expressions with multipliers Mixed adding and subtracting and simplifying linear expressions with some multipliers Simplify simple algebraic fractions (easier) Simplify simple algebraic fractions (harder)
  • Rewriting Linear Equations Rewrite Linear Equations in Standard Form Convert Linear Equations from Standard to Slope-Intercept Form Convert Linear Equations from Slope-Intercept to Standard Form Convert Linear Equations Between Standard and Slope-Intercept Form
  • Rewriting Formulas Rewriting Formulas (addition and subtraction; about one step) Rewriting Formulas (addition and subtraction; about two steps) Rewriting Formulas ( multiplication and division ; about one step)

Linear Expressions and Equations

free math worksheets for high school algebra

In these worksheets, the unknown is limited to the question side of the equation which could be on the left or the right of equal sign.

  • Missing Numbers in Equations with Blanks as Unknowns Missing Numbers in Equations ( All Operations ; Range 1 to 9 ; Blanks Never in Answer Position ) Missing Numbers in Equations ( All Operations ; Range 1 to 9 ; Blanks in Any Position ) Missing Numbers in Equations ( All Operations ; Range 1 to 20 ; Blanks Never in Answer Position ) Missing Numbers in Equations ( All Operations ; Range 1 to 20 ; Blanks in Any Position ) Missing Numbers in Equations ( Addition Only ; Range 1 to 9 ; Blanks Never in Answer Position ) Missing Numbers in Equations ( Addition Only ; Range 1 to 9 ; Blanks in Any Position ) Missing Numbers in Equations ( Addition Only ; Range 1 to 20 ; Blanks in Any Position ) Missing Numbers in Equations ( Subtraction Only ; Range 1 to 9 ; Blanks Never in Answer Position ) Missing Numbers in Equations ( Subtraction Only ; Range 1 to 9 ; Blanks in Any Position ) Missing Numbers in Equations ( Subtraction Only ; Range 1 to 20 ; Blanks in Any Position ) Missing Numbers in Equations ( Multiplication Only ; Range 1 to 9 ; Blanks Never in Answer Position ) Missing Numbers in Equations ( Multiplication Only ; Range 1 to 9 ; Blanks in Any Position ) Missing Numbers in Equations ( Multiplication Only ; Range 1 to 20 ; Blanks in Any Position ) Missing Numbers in Equations ( Division Only ; Range 1 to 9 ; Blanks Never in Answer Position ) Missing Numbers in Equations ( Division Only ; Range 1 to 9 ; Blanks in Any Position ) Missing Numbers in Equations ( Division Only ; Range 1 to 20 ; Blanks in Any Position )
  • Missing Numbers in Equations with Symbols as Unknowns Missing Numbers in Equations ( All Operations ; Range 1 to 9 ; Symbols Never in Answer Position ) Missing Numbers in Equations ( All Operations ; Range 1 to 9 ; Symbols in Any Position ) Missing Numbers in Equations ( All Operations ; Range 1 to 20 ; Symbols Never in Answer Position ) Missing Numbers in Equations ( All Operations ; Range 1 to 20 ; Symbols in Any Position ) Missing Numbers in Equations ( Addition Only ; Range 1 to 9 ; Symbols Never in Answer Position ) Missing Numbers in Equations ( Addition Only ; Range 1 to 9 ; Symbols in Any Position ) Missing Numbers in Equations ( Addition Only ; Range 1 to 20 ; Symbols in Any Position ) Missing Numbers in Equations ( Subtraction Only ; Range 1 to 9 ; Symbols Never in Answer Position ) Missing Numbers in Equations ( Subtraction Only ; Range 1 to 9 ; Symbols in Any Position ) Missing Numbers in Equations ( Subtraction Only ; Range 1 to 20 ; Symbols in Any Position ) Missing Numbers in Equations ( Multiplication Only ; Range 1 to 9 ; Symbols Never in Answer Position ) Missing Numbers in Equations ( Multiplication Only ; Range 1 to 9 ; Symbols in Any Position ) Missing Numbers in Equations ( Multiplication Only ; Range 1 to 20 ; Symbols in Any Position ) Missing Numbers in Equations ( Division Only ; Range 1 to 9 ; Symbols Never in Answer Position ) Missing Numbers in Equations ( Division Only ; Range 1 to 9 ; Symbols in Any Position ) Missing Numbers in Equations ( Division Only ; Range 1 to 20 ; Symbols in Any Position )
  • Solving Equations with Addition and Symbols as Unknowns Equalities with Addition (0 to 9) Symbol Unknowns Equalities with Addition (1 to 12) Symbol Unknowns Equalities with Addition (1 to 15) Symbol Unknowns Equalities with Addition (1 to 25) Symbol Unknowns Equalities with Addition (1 to 99) Symbol Unknowns
  • Missing Numbers in Equations with Variables as Unknowns Missing Numbers in Equations ( All Operations ; Range 1 to 9 ; Variables Never in Answer Position ) Missing Numbers in Equations ( All Operations ; Range 1 to 9 ; Variables in Any Position ) Missing Numbers in Equations ( All Operations ; Range 1 to 20 ; Variables Never in Answer Position ) Missing Numbers in Equations ( All Operations ; Range 1 to 20 ; Variables in Any Position ) Missing Numbers in Equations ( Addition Only ; Range 1 to 9 ; Variables Never in Answer Position ) Missing Numbers in Equations ( Addition Only ; Range 1 to 9 ; Variables in Any Position ) Missing Numbers in Equations ( Addition Only ; Range 1 to 20 ; Variables in Any Position ) Missing Numbers in Equations ( Subtraction Only ; Range 1 to 9 ; Variables Never in Answer Position ) Missing Numbers in Equations ( Subtraction Only ; Range 1 to 9 ; Variables in Any Position ) Missing Numbers in Equations ( Subtraction Only ; Range 1 to 20 ; Variables in Any Position ) Missing Numbers in Equations ( Multiplication Only ; Range 1 to 9 ; Variables Never in Answer Position ) Missing Numbers in Equations ( Multiplication Only ; Range 1 to 9 ; Variables in Any Position ) Missing Numbers in Equations ( Multiplication Only ; Range 1 to 20 ; Variables in Any Position ) Missing Numbers in Equations ( Division Only ; Range 1 to 9 ; Variables Never in Answer Position ) Missing Numbers in Equations ( Division Only ; Range 1 to 9 ; Variables in Any Position ) Missing Numbers in Equations ( Division Only ; Range 1 to 20 ; Variables in Any Position )
  • Solving Simple Linear Equations Solving Simple Linear Equations with Values from -9 to 9 (Unknown on Left Side) Solving Simple Linear Equations with Values from -99 to 99 (Unknown on Left Side) Solving Simple Linear Equations with Values from -9 to 9 (Unknown on Right or Left Side) Solving Simple Linear Equations with Values from -99 to 99 (Unknown on Right or Left Side)
  • Determining Linear Equations from Slopes, y-intercepts and Points Determine a Linear Equation from the Slope and y-intercept Determine a Linear Equation from the Slope and a Point Determine a Linear Equation from Two Points Determine a Linear Equation from Two Points by Graphing

Graphing linear equations and reading existing graphs give students a visual representation that is very useful in understanding the concepts of slope and y-intercept.

  • Graphing Linear Equations Graph Slope-Intercept Equations
  • Determinging Linear Equations from Graphs Determine the Equation from a Graph Determine the Slope from a Graph Determine the y-intercept from a Graph Determine the x-intercept from a Graph Determine the slope and y-intercept from a Graph Determine the slope and intercepts from a Graph Determine the slope, intercepts and equation from a Graph

Solving linear equations with jelly beans is a fun activity to try with students first learning algebraic concepts. Ideally, you will want some opaque bags with no mass, but since that isn't quite possible (the no mass part), there is a bit of a condition here that will actually help students understand equations better. Any bags that you use have to be balanced on the other side of the equation with empty ones.

Probably the best way to illustrate this is through an example. Let's use 3 x + 2 = 14. You may recognize the x as the unknown which is actually the number of jelly beans we put in each opaque bag. The 3 in the 3 x means that we need three bags. It's best to fill the bags with the required number of jelly beans out of view of the students, so they actually have to solve the equation.

On one side of the two-pan balance, place the three bags with x jelly beans in each one and two loose jelly beans to represent the + 2 part of the equation. On the other side of the balance, place 14 jelly beans and three empty bags which you will note are required to "balance" the equation properly. Now comes the fun part... if students remove the two loose jelly beans from one side of the equation, things become unbalanced, so they need to remove two jelly beans from the other side of the balance to keep things even. Eating the jelly beans is optional. The goal is to isolate the bags on one side of the balance without any loose jelly beans while still balancing the equation.

The last step is to divide the loose jelly beans on one side of the equation into the same number of groups as there are bags. This will probably give you a good indication of how many jelly beans there are in each bag. If not, eat some and try again. Now, we realize this won't work for every linear equation as it is hard to have negative jelly beans, but it is another teaching strategy that you can use for algebra.

Despite all appearances, equations of the type a/ x are not linear. Instead, they belong to a different kind of equations. They are good for combining them with linear equations, since they introduce the concept of valid and invalid answers for an equation (what will be later called the domain of a function). In this case, the invalid answers for equations in the form a/ x , are those that make the denominator become 0.

  • Solving Linear Equations Combining Like Terms and Solving Simple Linear Equations Solving a x = c Linear Equations Solving a x = c Linear Equations including negatives Solving x /a = c Linear Equations Solving x /a = c Linear Equations including negatives Solving a/ x = c Linear Equations Solving a/ x = c Linear Equations including negatives Solving a x + b = c Linear Equations Solving a x + b = c Linear Equations including negatives Solving a x - b = c Linear Equations Solving a x - b = c Linear Equations including negatives Solving a x ± b = c Linear Equations Solving a x ± b = c Linear Equations including negatives Solving x /a ± b = c Linear Equations Solving x /a ± b = c Linear Equations including negatives Solving a/ x ± b = c Linear Equations Solving a/ x ± b = c Linear Equations including negatives Solving various a/ x ± b = c and x /a ± b = c Linear Equations Solving various a/ x ± b = c and x /a ± b = c Linear Equations including negatives Solving linear equations of all types Solving linear equations of all types including negatives

Linear Systems

free math worksheets for high school algebra

  • Solving Systems of Linear Equations Easy Linear Systems with Two Variables Easy Linear Systems with Two Variables including negative values Linear Systems with Two Variables Linear Systems with Two Variables including negative values Easy Linear Systems with Three Variables; Easy Easy Linear Systems with Three Variables including negative values Linear Systems with Three Variables Linear Systems with Three Variables including negative values
  • Solving Systems of Linear Equations by Graphing Solve Linear Systems by Graphing (Solutions in first quadrant only) Solve Standard Linear Systems by Graphing Solve Slope-Intercept Linear Systems by Graphing Solve Various Linear Systems by Graphing Identify the Dependent Linear System by Graphing Identify the Inconsistent Linear System by Graphing

Quadratic Expressions and Equations

free math worksheets for high school algebra

  • Simplifying (Combining Like Terms) Quadratic Expressions Simplifying quadratic expressions with 5 terms Simplifying quadratic expressions with 6 terms Simplifying quadratic expressions with 7 terms Simplifying quadratic expressions with 8 terms Simplifying quadratic expressions with 9 terms Simplifying quadratic expressions with 10 terms Simplifying quadratic expressions with 5 to 10 terms
  • Adding/Subtracting and Simplifying Quadratic Expressions Adding and simplifying quadratic expressions. Adding and simplifying quadratic expressions with multipliers. Adding and simplifying quadratic expressions with some multipliers. Subtracting and simplifying quadratic expressions. Subtracting and simplifying quadratic expressions with multipliers. Subtracting and simplifying quadratic expressions with some multipliers. Mixed adding and subtracting and simplifying quadratic expressions. Mixed adding and subtracting and simplifying quadratic expressions with multipliers. Mixed adding and subtracting and simplifying quadratic expressions with some multipliers.
  • Multiplying Factors to Get Quadratic Expressions Multiplying Factors of Quadratics with Coefficients of 1 Multiplying Factors of Quadratics with Coefficients of 1 or -1 Multiplying Factors of Quadratics with Coefficients of 1, or 2 Multiplying Factors of Quadratics with Coefficients of 1, -1, 2 or -2 Multiplying Factors of Quadratics with Coefficients up to 9 Multiplying Factors of Quadratics with Coefficients between -9 and 9

The factoring quadratic expressions worksheets in this section provide many practice questions for students to hone their factoring strategies. If you would rather worksheets with quadratic equations, please see the next section. These worksheets come in a variety of levels with the easier ones are at the beginning. The 'a' coefficients referred to below are the coefficients of the x 2 term as in the general quadratic expression: ax 2 + bx + c. There are also worksheets in this section for calculating sum and product and for determining the operands for sum and product pairs.

  • Factoring Quadratic Expressions Factoring Quadratic Expressions with Positive 'a' coefficients of 1 Factoring Quadratic Expressions with Positive or Negative 'a' coefficients of 1 Factoring Quadratic Expressions with Positive or Negative 'a' coefficients of 1 with a Common Factor Step Factoring Quadratic Expressions with Positive 'a' coefficients up to 4 Factoring Quadratic Expressions with Positive or Negative 'a' coefficients up to 4 Factoring Quadratic Expressions with Positive or Negative 'a' coefficients up to 4 with a Common Factor Step Factoring Quadratic Expressions with Positive 'a' coefficients up to 5 Factoring Quadratic Expressions with Positive or Negative 'a' coefficients up to 5 Factoring Quadratic Expressions with Positive or Negative 'a' coefficients up to 5 with a Common Factor Step Factoring Quadratic Expressions with Positive 'a' coefficients up to 9 Factoring Quadratic Expressions with Positive or Negative 'a' coefficients up to 9 Factoring Quadratic Expressions with Positive or Negative 'a' coefficients up to 9 with a Common Factor Step Factoring Quadratic Expressions with Positive 'a' coefficients up to 81 Factoring Quadratic Expressions with Positive or Negative 'a' coefficients up to 81 Factoring Quadratic Expressions with Positive or Negative 'a' coefficients up to 81 with a Common Factor Step Calculating Sum and Product (Operand Range 0 to 9 ) ✎ Calculating Sum and Product (Operand Range 1 to 9 ) ✎ Calculating Sum and Product (Operand Range 0 to 9 Including Negatives ) ✎ Calculating Sum and Product (Operand Range 1 to 9 Including Negatives ) ✎ Calculating Sum and Product (Operand Range -20 to 20 ) ✎ Calculating Sum and Product (Operand Range -99 to 99 ) ✎ Determining Operands from Sum and Product Pairs (Operand Range 0 to 9 ) ✎ Determining Operands from Sum and Product Pairs (Operand Range 1 to 9 ) ✎ Determining Operands from Sum and Product Pairs (Operand Range 0 to 12 ) ✎ Determining Operands from Sum and Product Pairs (Operand Range 1 to 12 ) ✎ Determining Operands from Sum and Product Pairs (Operand Range 0 to 9 Including Negatives ) ✎ Determining Operands from Sum and Product Pairs (Operand Range 1 to 9 Including Negatives ) ✎ Determining Operands from Sum and Product Pairs (Operand Range -20 to 20 ) ✎ Determining Operands from Sum and Product Pairs (Operand Range -99 to 99 ) ✎

Whether you use trial and error, completing the square or the general quadratic formula, these worksheets include a plethora of practice questions with answers. In the first section, the worksheets include questions where the quadratic expressions equal 0. This makes the process similar to factoring quadratic expressions, with the additional step of finding the values for x when the expression is equal to 0. In the second section, the expressions are generally equal to something other than x, so there is an additional step at the beginning to make the quadratic expression equal zero.

  • Solving Quadratic Equations that Equal Zero Solving Quadratic Equations with Positive 'a' coefficients of 1 Solving Quadratic Equations with Positive or Negative 'a' coefficients of 1 Solving Quadratic Equations with Positive or Negative 'a' coefficients of 1 with a Common Factor Step Solving Quadratic Equations with Positive 'a' coefficients up to 4 Solving Quadratic Equations with Positive or Negative 'a' coefficients up to 4 Solving Quadratic Equations with Positive or Negative 'a' coefficients up to 4 with a Common Factor Step Solving Quadratic Equations with Positive 'a' coefficients up to 5 Solving Quadratic Equations with Positive or Negative 'a' coefficients up to 5 Solving Quadratic Equations with Positive or Negative 'a' coefficients up to 5 with a Common Factor Step Solving Quadratic Equations with Positive 'a' coefficients up to 9 Solving Quadratic Equations with Positive or Negative 'a' coefficients up to 9 Solving Quadratic Equations with Positive or Negative 'a' coefficients up to 9 with a Common Factor Step Solving Quadratic Equations with Positive 'a' coefficients up to 81 Solving Quadratic Equations with Positive or Negative 'a' coefficients up to 81 Solving Quadratic Equations with Positive or Negative 'a' coefficients up to 81 with a Common Factor Step
  • Solving Quadratic Equations that Equal an Integer Solving Quadratic Equations for x ("a" coefficients of 1) Solving Quadratic Equations for x ("a" coefficients of 1 or -1) Solving Quadratic Equations for x ("a" coefficients up to 4) Solving Quadratic Equations for x ("a" coefficients between -4 and 4) Solving Quadratic Equations for x ("a" coefficients up to 81) Solving Quadratic Equations for x ("a" coefficients between -81 and 81)

Other Polynomial and Monomial Expressions & Equations

free math worksheets for high school algebra

  • Simplifying Polynomials That Involve Addition And Subtraction Addition and Subtraction; 1 variable; 3 terms Addition and Subtraction; 1 variable; 4 terms Addition and Subtraction; 2 variables; 4 terms Addition and Subtraction; 2 variables; 5 terms Addition and Subtraction; 2 variables; 6 terms
  • Simplifying Polynomials That Involve Multiplication And Division Multiplication and Division; 1 variable; 3 terms Multiplication and Division; 1 variable; 4 terms Multiplication and Division; 2 variables; 4 terms Multiplication and Division; 2 variables; 5 terms
  • Simplifying Polynomials That Involve Addition, Subtraction, Multiplication And Division All Operations; 1 variable; 3 terms All Operations; 1 variable; 4 terms All Operations; 2 variables; 4 terms All Operations; 2 variables; 5 terms All Operations (Challenge)
  • Factoring Expressions That Do Not Include A Squared Variable Factoring Non-Quadratic Expressions with No Squares, Simple Coefficients, and Positive Multipliers Factoring Non-Quadratic Expressions with No Squares, Simple Coefficients, and Negative and Positive Multipliers Factoring Non-Quadratic Expressions with No Squares, Compound Coefficients, and Positive Multipliers Factoring Non-Quadratic Expressions with No Squares, Compound Coefficients, and Negative and Positive Multipliers
  • Factoring Expressions That Always Include A Squared Variable Factoring Non-Quadratic Expressions with All Squares, Simple Coefficients, and Positive Multipliers Factoring Non-Quadratic Expressions with All Squares, Simple Coefficients, and Negative and Positive Multipliers Factoring Non-Quadratic Expressions with All Squares, Compound Coefficients, and Positive Multipliers Factoring Non-Quadratic Expressions with All Squares, Compound Coefficients, and Negative and Positive Multipliers
  • Factoring Expressions That Sometimes Include Squared Variables Factoring Non-Quadratic Expressions with Some Squares, Simple Coefficients, and Positive Multipliers Factoring Non-Quadratic Expressions with Some Squares, Simple Coefficients, and Negative and Positive Multipliers Factoring Non-Quadratic Expressions with Some Squares, Compound Coefficients, and Positive Multipliers Factoring Non-Quadratic Expressions with Some Squares, Compound Coefficients, and Negative and Positive Multipliers
  • Multiplying Polynomials With Two Factors Multiplying a monomial by a binomial Multiplying two binomials Multiplying a monomial by a trinomial Multiplying a binomial by a trinomial Multiplying two trinomials Multiplying two random mon/polynomials
  • Multiplying Polynomials With Three Factors Multiplying a monomial by two binomials Multiplying three binomials Multiplying two binomials by a trinomial Multiplying a binomial by two trinomials Multiplying three trinomials Multiplying three random mon/polynomials

Inequalities

free math worksheets for high school algebra

  • Writing The Inequality That Matches The Graph Writing Inequalities for Graphs
  • Graphing Inequalities On Number Lines Graphing Inequalities (Basic)
  • Solving Linear Inequalities Solving Inequalities Including a Third Term Solving Inequalities Including a Third Term and Multiplication Solving Inequalities Including a Third Term, Multiplication and Division

Copyright © 2005-2024 Math-Drills.com You may use the math worksheets on this website according to our Terms of Use to help students learn math.

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Free Math Printable Worksheets with Answer Keys and Activities

Other free resources.

Feel free to download and enjoy these free worksheets on functions and relations. Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Plus each one comes with an answer key.

  • Long Division with Remainders
  • Long Division with Remainders #2 (Zeros in the Quotient)
  • Long Division with 2 Digit Divisors
  • Whole Number by Unit Fraction
  • Equation of Circle
  • Simplify Imaginary Numbers
  • Adding and Subtracting Complex Numbers
  • Multiplying Complex Numbers
  • Dividing Complex Numbers
  • Dividing Complex Number (Advanced)
  • End of Unit, Review Sheet
  • Distance Formula
  • Simplify Rational Exponents (Algebra 2)
  • Solve Equations with Rational Exponents (Algebra 2)
  • Solve Equations with variables in Exponents (Algebra 2)
  • Exponential Growth (no answer key on this one, sorry)
  • Compound Interest Worksheet #1 (No logs)
  • Compound Interest Worksheet (Logarithms required)
  • Factor Trinomials Worksheet
  • Factor by Grouping
  • Domain and Range (Algebra 1)
  • Functions vs Relations (Distinguish function from relation, state domain etc..) (Algebra 2)
  • Evaluating Functions (Algebra 2)
  • 1 to 1 Functions (Algebra 2)
  • Composition of Functions (Algebra 2)
  • Inverse Functions Worksheet (Algebra 2)
  • Operations with Functions (Algebra 2)
  • Functions Review Worksheet (Algebra 2)
  • Logarithmic Equations
  • Properties of Logarithms Worksheet
  • Product Rule of Logarithms
  • Power Rule of Logarithms
  • Quotient Rule of Logarithms
  • Solve Quadratic Equations by Factoring
  • Quadratic Formula Worksheets (3 different sheets)
  • Quadratic Formula Worksheet (Real solutions)
  • Quadratic Formula (Complex solutions)
  • Quadratic Formula (Both real and complex solutions)
  • Discriminant and Nature of the Roots
  • Solve Quadratic Equations by Completing the Square
  • Sum and Product of Roots
  • Radical Equations
  • Mixed Problems on Writing Equations of Lines
  • Slope Intercept Form Worksheet
  • Standard Form Worksheet
  • Point Slope Worksheet
  • Write Equation of Line from the Slope and 1 Point
  • Write Equation of Line From Two Points
  • Equation of Line Parallel to Another Line and Through a Point
  • Equation of Line Perpendicular to Another Line and Through a Point
  • Slope of a Line
  • Perpendicular Bisector of Segment
  • Write Equation of Line Mixed Review
  • Word Problems
  • Multiplying Monomials Worksheet
  • Multiplying and Dividing Monomials Sheet
  • Adding and Subtracting Polynomials worksheet
  • Multiplying Monomials with Polynomials Worksheet
  • Multiplying Binomials Worksheet
  • Multiplying Polynomials
  • Simplifying Polynomials
  • Factoring Trinomials
  • Operations with Polynomials Worksheet
  • Dividing Radicals
  • Simplify Radicals Worksheet
  • Adding Radicals
  • Multiplying Radicals Worksheet
  • Radicals Review (Mixed review worksheet on radicals and square roots)
  • Rationalizing the Denominator (Algebra 2)
  • Radical Equations (Algebra 2)
  • Solve Systems of Equations Graphically
  • Solve Systems of Equations by Elimination
  • Solve by Substitution
  • Solve Systems of Equations (Mixed Review)
  • Activity on Systems of Equations (Create an advertisement for your favorite method to Solve Systems of Equations )
  • Real World Connections (Compare cell phone plans)
  • Identifying Fractions

Trigonomnetry

  • Law of Sines and Cosines Worksheet (This sheet is a summative worksheet that focuses on deciding when to use the law of sines or cosines as well as on using both formulas to solve for a single triangle's side or angle)
  • Law of Sines
  • Ambiguous Case of the Law of Sines
  • Law of Cosines
  • Vector Worksheet
  • Sine, Cosine, Tangent, to Find Side Length
  • Sine, Cosine, Tangent Chart
  • Inverse Trig Functions
  • Real World Applications of SOHCATOA
  • Mixed Review
  • Unit Circle Worksheet
  • Graphing Sine and Cosine Worksheet
  • Sine Cosine Graphs with Vertical Translations
  • Sine, Cosine, Tangent Graphs with Phase Shifts
  • Sine, Cosine, Tangent Graphs with Change in Period, Amplitude and Phase Shifts (All Translations)
  • Tangent Equation, Graph Worksheet
  • Graphing Sine, Cosine, Tangent with Change in Period
  • Cumulative, Summative Worksheet on Periodic Trig Functions - period, amplitude, phase shift, radians, degrees,unit circle
  • Ratio and Proportion
  • Similar Polygons
  • Area of Triangle
  • Interior Angles of Polygons
  • Exterior Angles of Polygons

free math worksheets for high school algebra

Arcs and Angles formed by Intersecting Chords

diagram

Angles and arcs formed by tangents and secants

Farc Narc Formula

Tangents, Secants and Side Lengths

Math Worksheet on the Angle formed by the intersection of a Tangent and a Chord

Angle Tangent Chord

Cumulative Review Problems of All Formulas

Big Circle

  • Associated Powerpoint
  • Associated PowerPoint
  • System of Linear Equations Worksheet
  • System of Linear Equations - Real World Application
  • Compositions of Reflections. Reflections Over Intersecting Lines as Rotations

All of these worksheets and activities are available for free so long as they are used solely for educational, noncommercial purposes and are not distributed outside of a specific teacher's classroom.

Ultimate Math Solver (Free) Free Algebra Solver ... type anything in there!

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Algebra (all content)

Unit 1: introduction to algebra, unit 2: solving basic equations & inequalities (one variable, linear), unit 3: linear equations, functions, & graphs, unit 4: sequences, unit 5: system of equations, unit 6: two-variable inequalities, unit 7: functions, unit 8: absolute value equations, functions, & inequalities, unit 9: quadratic equations & functions, unit 10: polynomial expressions, equations, & functions, unit 11: exponential & logarithmic functions, unit 12: radical equations & functions, unit 13: rational expressions, equations, & functions, unit 14: trigonometric functions, unit 15: algebraic modeling, unit 16: complex numbers, unit 17: conic sections, unit 18: series & induction, unit 19: vectors, unit 20: matrices.

Mom and More

10 Helpful Worksheet Ideas for Primary School Math Lessons

M athematics is a fundamental subject that shapes the way children think and analyze the world. At the primary school level, laying a strong foundation is crucial. While hands-on activities, digital tools, and interactive discussions play significant roles in learning, worksheets remain an essential tool for reinforcing concepts, practicing skills, and assessing understanding. Here’s a look at some helpful worksheets for primary school math lessons.

Comparison Chart Worksheets

Comparison charts provide a visual means for primary school students to grasp relationships between numbers or concepts. They are easy to make at www.storyboardthat.com/create/comparison-chart-template , and here is how they can be used:

  • Quantity Comparison: Charts might display two sets, like apples vs. bananas, prompting students to determine which set is larger.
  • Attribute Comparison: These compare attributes, such as different shapes detailing their number of sides and characteristics.
  • Number Line Comparisons: These help students understand number magnitude by placing numbers on a line to visualize their relative sizes.
  • Venn Diagrams: Introduced in later primary grades, these diagrams help students compare and contrast two sets of items or concepts.
  • Weather Charts: By comparing weather on different days, students can learn about temperature fluctuations and patterns.

Number Recognition and Counting Worksheets

For young learners, recognizing numbers and counting is the first step into the world of mathematics. Worksheets can offer:

  • Number Tracing: Allows students to familiarize themselves with how each number is formed.
  • Count and Circle: Images are presented, and students have to count and circle the correct number.
  • Missing Numbers: Sequences with missing numbers that students must fill in to practice counting forward and backward.

Basic Arithmetic Worksheets

Once students are familiar with numbers, they can start simple arithmetic. 

  • Addition and Subtraction within 10 or 20: Using visual aids like number lines, counters, or pictures can be beneficial.
  • Word Problems: Simple real-life scenarios can help students relate math to their daily lives.
  • Skip Counting: Worksheets focused on counting by 2s, 5s, or 10s.

Geometry and Shape Worksheets

Geometry offers a wonderful opportunity to relate math to the tangible world.

  • Shape Identification: Recognizing and naming basic shapes such as squares, circles, triangles, etc.
  • Comparing Shapes: Worksheets that help students identify differences and similarities between shapes.
  • Pattern Recognition: Repeating shapes in patterns and asking students to determine the next shape in the sequence.

Measurement Worksheets

Measurement is another area where real-life application and math converge.

  • Length and Height: Comparing two or more objects and determining which is longer or shorter.
  • Weight: Lighter vs. heavier worksheets using balancing scales as visuals.
  • Time: Reading clocks, days of the week, and understanding the calendar.

Data Handling Worksheets

Even at a primary level, students can start to understand basic data representation.

  • Tally Marks: Using tally marks to represent data and counting them.
  • Simple Bar Graphs: Interpreting and drawing bar graphs based on given data.
  • Pictographs: Using pictures to represent data, which can be both fun and informative.

Place Value Worksheets

Understanding the value of each digit in a number is fundamental in primary math.

  • Identifying Place Values: Recognizing units, tens, hundreds, etc., in a given number.
  • Expanding Numbers: Breaking down numbers into their place value components, such as understanding 243 as 200 + 40 + 3.
  • Comparing Numbers: Using greater than, less than, or equal to symbols to compare two numbers based on their place values.

Fraction Worksheets

Simple fraction concepts can be introduced at the primary level.

  • Identifying Fractions: Recognizing half, quarter, third, etc., of shapes or sets.
  • Comparing Fractions: Using visual aids like pie charts or shaded drawings to compare fractions.
  • Simple Fraction Addition: Adding fractions with the same denominator using visual aids.

Money and Real-Life Application Worksheets

Understanding money is both practical and a great way to apply arithmetic.

  • Identifying Coins and Notes: Recognizing different denominations.
  • Simple Transactions: Calculating change, adding up costs, or determining if there’s enough money to buy certain items.
  • Word Problems with Money: Real-life scenarios involving buying, selling, and saving.

Logic and Problem-Solving Worksheets

Even young students can hone their problem-solving skills with appropriate challenges.

  • Sequences and Patterns: Predicting the next item in a sequence or recognizing a pattern.
  • Logical Reasoning: Simple puzzles or riddles that require students to think critically.
  • Story Problems: Reading a short story and solving a math-related problem based on the context.

Worksheets allow students to practice at their own pace, offer teachers a tool for assessment, and provide parents with a glimpse into their child’s learning progression. While digital tools and interactive activities are gaining prominence in education, the significance of worksheets remains undiminished. They are versatile and accessible and, when designed creatively, can make math engaging and fun for young learners.

The post 10 Helpful Worksheet Ideas for Primary School Math Lessons appeared first on Mom and More .

Mathematics is a fundamental subject that shapes the way children think and analyze the world. At the primary school level, laying a strong foundation is crucial. While hands-on activities, digital tools, and interactive discussions play significant roles in learning, worksheets remain an essential tool for reinforcing concepts, practicing skills, and assessing understanding. Here’s a look […]

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