MATH Worksheets 4 Kids

Child Login

  • Kindergarten
  • Number charts
  • Skip Counting
  • Place Value
  • Number Lines
  • Subtraction
  • Multiplication
  • Word Problems
  • Comparing Numbers
  • Ordering Numbers
  • Odd and Even
  • Prime and Composite
  • Roman Numerals
  • Ordinal Numbers
  • In and Out Boxes
  • Number System Conversions
  • More Number Sense Worksheets
  • Size Comparison
  • Measuring Length
  • Metric Unit Conversion
  • Customary Unit Conversion
  • Temperature
  • More Measurement Worksheets
  • Writing Checks
  • Profit and Loss
  • Simple Interest
  • Compound Interest
  • Tally Marks
  • Mean, Median, Mode, Range
  • Mean Absolute Deviation
  • Stem-and-leaf Plot
  • Box-and-whisker Plot
  • Permutation and Combination
  • Probability
  • Venn Diagram
  • More Statistics Worksheets
  • Shapes - 2D
  • Shapes - 3D
  • Lines, Rays and Line Segments
  • Points, Lines and Planes
  • Transformation
  • Quadrilateral
  • Ordered Pairs
  • Midpoint Formula
  • Distance Formula
  • Parallel, Perpendicular and Intersecting Lines
  • Scale Factor
  • Surface Area
  • Pythagorean Theorem
  • More Geometry Worksheets
  • Converting between Fractions and Decimals
  • Significant Figures
  • Convert between Fractions, Decimals, and Percents
  • Proportions
  • Direct and Inverse Variation
  • Order of Operations
  • Squaring Numbers
  • Square Roots
  • Scientific Notations
  • Speed, Distance, and Time
  • Absolute Value
  • More Pre-Algebra Worksheets
  • Translating Algebraic Phrases
  • Evaluating Algebraic Expressions
  • Simplifying Algebraic Expressions
  • Algebraic Identities
  • Quadratic Equations
  • Systems of Equations
  • Polynomials
  • Inequalities
  • Sequence and Series
  • Complex Numbers
  • More Algebra Worksheets
  • Trigonometry
  • Math Workbooks
  • English Language Arts
  • Summer Review Packets
  • Social Studies
  • Holidays and Events
  • Worksheets >
  • Algebra >
  • Equations >

Equation Word Problems Worksheets

This compilation of a meticulously drafted equation word problems worksheets is designed to get students to write and solve a variety of one-step, two-step and multi-step equations that involve integers, fractions, and decimals. These worksheets are best suited for students in grade 6 through high school. Click on the 'Free' icons to sample our handouts.

One Step Equation Word Problem Worksheets

One Step Equation Word Problem Worksheets

Read and solve this series of word problems that involve one-step equations. Apply basic operations to find the value of unknowns.

(15 Worksheets)

Two-Step Equation Word Problems: Integers

Two-Step Equation Word Problems: Integers

Interpret this set of word problems that require two-step operations to solve the equations. Each printable worksheet has five word problems ideal for 6th grade, 7th grade, and 8th grade students.

  • Download the set

Multi-Step Equation Word Problems: Integers

Multi-Step Equation Word Problems: Integers

Read each multi-step word problem in these high school pdf worksheets and set up the equation. Solve and find the value of the unknown. More than two steps are required to solve the problems.

Two-Step Equation Word Problems: Fractions and Decimals

Two-Step Equation Word Problems: Fractions and Decimals

Read each word problem and set up the two-step equation. Solve the equation and find the solution. This selection of worksheets includes both fractions and decimals.

Multi-Step Equation Word Problems: Fractions and Decimals

Multi-Step Equation Word Problems: Fractions and Decimals

Write multi-step equations that involve both fractions and decimals based on the word problems provided here. Validate your responses with our answer keys.

MCQ - Equation Word Problems

MCQ - Equation Word Problems

Pick the correct two-step equation that best matches word problems presented here. Evaluate the ability of students to solve two-step equations with this array of MCQ worksheets.

Related Worksheets

» One-Step Equation

» Two-Step Equation

» Multi-Step Equation

» Algebraic Identities

Become a Member

Membership Information

Privacy Policy

What's New?

Printing Help

Testimonial

Facebook

Copyright © 2024 - Math Worksheets 4 Kids

This is a members-only feature!

Happy Learning!

Math Worksheets

Just another wordpress site, site navigation.

  • Constant of Proportionality Worksheets
  • Coordinate Graph Worksheets–Interpreting
  • Equivalent Expressions Worksheets–Perimeter
  • Equivalent Expressions Worksheets–Word Problems
  • Integer Division Worksheets
  • Number Line Worksheets–Integers
  • Number Line Worksheets–Rational Numbers
  • Rational Number Expressions Worksheets
  • Tape Diagram Worksheets
  • Analyzing Equations Worksheets
  • Function Interval Worksheets
  • Repeating Decimals Worksheets
  • Scientific Notation Worksheets–Multiples
  • Simultaneous Linear Equation Worksheets (Part I)
  • Simultaneous Linear Equation Worksheets (Part II)
  • Systems of Equations (How Many Solutions?)
  • Transformation Effects Worksheets
  • Transformation Series Worksheets
  • Evaluating Expressions Worksheets
  • Factoring Polynomials Worksheets
  • Graphing Inequalities Worksheets (Single Variable)
  • Solving Inequalities Worksheets
  • Solving Inequalities with Absolute Value Worksheets
  • Order of Operations Worksheets
  • Equations & Word Problems (Combining Like Terms)
  • Slope of a Line from a Graph–Points Given
  • Slope Worksheets (Two Points-No Graph)
  • Changing One Equation
  • Changing Two Equations
  • Word Problems
  • Multiple Choice Worksheets
  • Substitution Worksheets
  • Already Graphed
  • Graphing Systems of Equations (Slope-Intercept Form)
  • Graphing Systems of Equations (Standard Form)
  • Trigonometry Worksheets
  • Auto-Generated Worksheets
  • Interpreting Points on a Graph
  • Adding Decimals Worksheets
  • Comparing Decimals-Decimal Inequalities
  • Decimal Division-Integer Divisors (1 Digit)
  • Decimal Division-Integer Divisors (2 Digit)
  • Decimal Division-Integer Divisors (3 Digit)
  • Decimal Division-Integer Divisors (MIXED Digits)
  • Decimal Division-Decimal Divisors (Tenths into Tenths)
  • Decimal Division-Decimal Divisors (Tenths into Hundredths)
  • Decimal Division-Decimal Divisors (Tenths into Thousandths)
  • Decimal Division-Decimal Divisors (Hundredths into Hundredths)
  • Decimal Division-Decimal Divisors (Hundredths into Thousandths)
  • Decimal Division-Decimal Divisors (Thousandths into Thousandths)
  • Decimal Division-MIXED Decimal Divisors
  • MIXED Decimal & Integer Divisors (1-Digit)
  • MIXED Decimal & Integer Divisors (2-Digits)
  • MIXED Decimal & Integer Divisors (3-Digits)
  • Adding 1 Zero (Single-Digit Integer Divisor)
  • Adding 1 Zero (Two-Digit Integer Divisor)
  • Adding 1 Zero (Single-Digit Decimal Divisors)
  • Adding 1 Zero (Two-Digit Decimal Divisors)
  • Adding 2 Zeros (Single-Digit Integer Divisors)
  • Adding 2 Zeros (Two-Digit Integer Divisors)
  • Adding 2 Zeros (Decimal Divisors)
  • Repeating Decimals (One Digit Patterns)
  • Repeating Decimals (Two Digit Patterns)
  • Repeating Decimals (Three Digit Patterns)
  • Decimal Division Word Problem Worksheets
  • Multiplying Decimals Worksheets
  • Subtracting Decimals Worksheets
  • Writing Decimals as Fractions Worksheets
  • Checking Equation Solutions–Distributive Property
  • Checking Equation Solutions–Like Terms
  • Checking Equation Solutions–Variables on Both Sides
  • Checking Two-Step Equation Solutions
  • Solving Equations with Like Terms
  • Solving Equations with the Distributive Property Worksheets
  • Solving Equations with Variables on Both Sides Worksheets
  • Solving Equations with Absolute Value Worksheets
  • Solving Proportions
  • Equations and Word Problems (Two Step Equations)
  • Equations and Word Problems (Combining Like Terms) Worksheets
  • Adding Fractions Worksheets
  • Comparing Fractions Worksheets
  • Dividing Fractions Worksheets
  • Multiplying Fractions Worksheets
  • Proportions & Fractions Worksheets
  • Subtracting Fractions Worksheets
  • Exterior Angles Worksheets
  • Interior Angles Worksheets
  • Parallel Lines & Transversals Worksheets
  • Areas of Circles Worksheets
  • Areas of Parallelograms Worksheets
  • Areas of Trapezoids Worksheets
  • Areas of Triangles Worksheets
  • Radius Given (Using 3.14)
  • Diameter Given (Using 3.14)
  • Radius or Diameter Given (Using 3.14)
  • Radius Given (In Terms of Pi)
  • Diameter Given (In Terms of Pi)
  • Radius or Diameter Given (In Terms of Pi)
  • Volume of a Rectangular Prism
  • Volume of a Triangular Prism
  • Absolute Value of a Number Worksheets
  • Absolute Value Expressions (Simplifying) Worksheets
  • Absolute Value Equations Workssheets
  • Absolute Value Inequalities Worksheets
  • Addition Worksheets
  • Division Worksheets
  • Multiplication Worksheets
  • Percentage Worksheets
  • Square Roots
  • Subtraction Worksheets
  • Mean/Median/Mode/Range Worksheets
  • Mean Worksheets
  • Median Worksheets
  • Graphs and Mean/Median/Mode Worksheets
  • Absolute Value–Simplifying Expressions Worksheets
  • Absolute Value Equations Worksheets
  • Absolute Value Inequality Worksheets
  • Probability & Compound Events Worksheets
  • Probability & Predictions Worksheets
  • Theoretical Probability Worksheets
  • Comparing Ratios Word Problem Worksheets
  • Comparing Ratios Worksheets
  • Part-to-Part Ratio Worksheets
  • Part-to-Whole Ratio Worksheets
  • Ratio Word Problems (w/Fractions)
  • Simplified Ratios Word Problem Worksheets
  • Writing Ratios Word Problem Worksheets
  • Writing Ratios Word Problems (missing info)
  • Writing Ratios Word Problems (w/distractors)
  • Writing Ratios Worksheets
  • Comparing Unit Rates Worksheets
  • Unit Rate Word Problem Worksheets
  • Unit Rates & Graphs Worksheets
  • Unit Rates & Proportions Worksheets
  • Unit Rates & Tables

Looking for Something?

Popular content.

  • Simplifying Expressions Worksheets
  • Absolute Value Worksheets

Equations and Word Problems

These free  equations and word problems   worksheets  will help your students practice writing and solving equations that match real-world story problems.

These free algebra worksheets are printable and available in a variety of formats.  Of course, answer keys are provided with each free algebra worksheet.

Equations and Word Problems ( Two Step Equations ) Worksheets

Equations and Word Problems (Two Step Equations) Worksheet 1 – This 10 problem worksheet will help you practice writing and solving two step equations that match real world situations. Equations and Word Problems (Two Step Equations) Worksheet 1 RTF Equations and Word Problems (Two Step Equations) Worksheet 1 PDF Preview Equations and Word Problems Worksheet 1 In Your Web Browser View Answers

Equations and Word Problems (Two Step Equations) Worksheet 2 – This 10 problem worksheet will help you practice writing and solving two step equations that match real world situations. Equations and Word Problems (Two Step Equations) Worksheet 2 RTF Equations and Word Problems (Two Step Equations) Worksheet 2 PDF Preview Equations and Word Problems Worksheet 2 In Your Web Browser View Answers

Equations and Word Problems ( Combining Like Terms ) Worksheets

Equations and Word Problems (Combining Like Terms) Worksheet 1 – This 10 problem worksheet will help you practice writing and solving equations that match real world situations. You will have to combine like terms and then solve the equation. Equations and Word Problems (Combining Like Terms) Worksheet 1 RTF Equations and Word Problems (Combining Like Terms) Worksheet 1 PDF Preview Equations and Word Problems Worksheet 1 In Your Web Browser View Answers

Equations and Word Problems (Combining Like Terms) Worksheet 2 – This 10 problem worksheet will help you practice writing and solving equations that match real world situations. You will have to combine like terms and then solve the equation. Equations and Word Problems (Combining Like Terms) Worksheet 2 RTF Equations and Word Problems (Combining Like Terms) Worksheet 2 PDF Preview Equations and Word Problem Worksheet 2 In Your Web Browser View Answers

ereading games | Free Online Educational Reading Games - Super Grammar Ninja

Leave a Reply Cancel reply

Your email address will not be published. Required fields are marked *

Save my name, email, and website in this browser for the next time I comment.

Algebra Word Problems Worksheets

How to Approach Algebra Word Problems - There are many questions in mathematics that scare us or seem really tough. But there is this one thing that students dread the most word problems. And what is scarier than word problems? Yes! Algebraic word problems! So how do you do a question that not only cares you but also keeps you stuck for a very long time till you give up? Well, here are a few strategies for you that can help you solve questions better and make them easier for you! Before even starting, make sure that you know this mantra by heart, "Divide and conquer!" Let us explain what it means. The best approach in solving any algebraic word problem is by dividing the question into smaller bits and pieces so that they become relatively easier for you to solve. The first step you need to take is to thoroughly read the problem. Ensure that you don't start solving the question before going through the whole problem since it might create bits of confusion. So, read and understand what the problem is about before you solve. Secondly, figure out what things are provided in the problem and what are not. In algebra, we represent things that not defined through variables. Translate the word problem, figure out the variables, and the rest of the given stuff. Thirdly, make sure that you are using the correct operation. It could be anything from the basic four and make sure that you know exactly what operation needs to be followed. Now, start solving!

Basic Lesson

Demonstrates how to break an algebra word problem down into distinct parts. Practice problems are provided. Example: A man has $0.70 in dimes and nickels. He has 8 coins together. How many nickels does he have?

Intermediate Lesson

The word problems contain some distractor numbers to help students learn discriminant between numbers. Example: When smaller two even integers are added to 3 times the larger the result is 230. Find the smaller integers.

Independent Practice 1

Contains 20 Algebra Word problems. The answers can be found below. Example: Marvin's Taxi Service charges $0.30 for the first kilometer and $0.05 for each additional km. If the cab fare was $3.20, how far did the Taxi go?

Independent Practice 2

Another selection of solid problems for you. Example: The sum of ages of three people is 120. The ages of second is twice the first and age of third is thrice the first one age. Find their ages.

Homework Worksheet

12 Algebra Word problems for students to work on at home. Example problems are provided and explained. Sample: Sherlock bought a car for $5600. He sold it to Rachel for 5/6 the price he paid for it. Rachel sold it to Arleen for 1/5 less than she paid. Arleen sold it to Rick for 3/4 what she paid. What did Rick pay for the car?

Example problem: In three more years, Miguel's grandfather will be six times as old as Miguel was last year. When Miguel's present age is added to his grandfather's present age, the total is 68. How old is each one now?

Homework and Quiz Answer Key

Answers for the homework and quiz.

Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

What Is It?

Algebra - the branch of mathematics that uses symbols to represent numbers or variables in arithmetical operations. An algebraic equation is true for any numbers represented by the variables used in it.

MBTP Logo

Linear Equations Word Problems Worksheet with Solutions

The first equation family that many students learn about is linear equations. Linear equations have many applications in the real-world, which can make for a really great set of word problems! 

As a student studying algebra, you will encounter many linear equations word problems. That’s why I have put together this linear equations word problems worksheet with solutions!

My hope is that this linear equation word problems worksheet and answer key help you deepen your understanding of linear equations and linear systems!

What Are Linear Equations?

A linear equation is an  algebraic equation  where the highest power on the variable is one. When graphed, a linear equation will produce a straight line.

There are a few ways that we can write linear equations, with two of the most common being slope-intercept form and standard form .

Slope-intercept form is best way to identify the slope of the line and the y-intercept of the line. In general, the equation of a line in slope-intercept form is written as:

In this form,  a  represents the slope of the line and  b  represents the y-intercept of the line.

Equations of lines in standard form are easy to recognize because it is a uniformly recognized form of a line. Standard form allows for easy comparison of coefficients. When two linear equations are in standard form, you can quickly compare the coefficients of x and y.

In general, the standard form of a line is written as:

$$Ax+By=C$$

Note that A and B do not represent the slope of the line or the y-intercept in this form. Instead, A and B are simply constants.

Solving Linear Equations

Any set of word problems relating to linear equations will ask you to solve an equation of some sort. However, there are many different types of solving equations problems that you will encounter as you explore linear equations word problems.

Let’s take a look at a few different types to make sure you know what to expect when you check out the linear equation word problems worksheet with solutions below.

Solving Two-Step Equations and Multi-Step Equations

One of the simplest equation problems that you can solve is a two-step equation. A two-step equation requires you to perform just two steps in order to determine the unique solution to the linear equation.

The first step is to identify the side of the equation with the unknown variable. Your goal will be to isolate this variable (or get it by itself). Consider the following example:

In this example, the variable is on the right-hand side of the equation. To isolate x, we “undo” the operations on the right-hand side of the equation using inverse operations. This just means doing whatever the opposite operation is.

We can apply  order of operations  in reverse to start with the subtraction and then deal with the multiplication. Adding 5 to both sides and then dividing by 2 will result in:

$$\begin{split} 9+5&=2x-5+5 \\ \\ 14 &= 2x \\ \\ \frac{14}{2} &= \frac{2x}{2} \\ \\ 7 &= x \end{split} $$

This shows that the value of the unknown variable here is x = 7. This is a unique solution that will satisfy the equation.

If you want to learn more about finding the solution of linear equations and explore multi-step equations that use the distributive property, check out  these equation solving worksheets !

Systems of Linear Equations

Systems of linear equations are another type of problem that you will see on the linear equations word problems worksheet linked below. A system of linear equations involves two (or more!) linear equations that intersect in some way. 

There are a few different ways that linear equations can intersect :

  • Once  at a single point of intersection
  • Never  as a result of the lines being parallel 
  • Always  as a result of the lines being on top of one another

When solving a system of linear equations, your goal is to determine both unknown variables. If the lines intersect, the solution to the system will be the point of intersection for the lines.

When given a linear equation, we can find the point of intersection between it and a second equation using a few different methods. I made a  video on the substitution method  and a  video on the elimination method  to help you understand these strategies for solving systems before you apply them to word problems involving systems of equations.

one linear equation being substituted into a second equation

What Are Linear Equation Word Problems?

A linear equation word problem involves a real-world situation or scenario that can be solved by setting up and solving linear equations. The equations that are used model the relationships between different quantities in the real-world scenario. 

The topics of these problems vary, ranging from applications in science and physics (ie. calculate the speed of the boat) to business applications (ie. how many sales are required to break even?). The problems that you encounter will also vary in depth and difficulty. 

In my teaching experience, students tend to struggle with word problems because it isn’t always immediately clear what is being asked.  I have seen many students feel very confident in their equation solving skills, yet they still struggle when it comes to solving linear equation word problems.

One reason for this is that you aren’t always given equations from the start while solving word problems.

Tips for Solving Linear Equation Word Problems

During my time as a high school math teacher, I have come across a few tips that I think will help you solve linear equation word problems successfully.

To begin, the first step should always be to define two variables. Read the question carefully and think about the quantities involved. Use variables to represent these quantities.

The second step should be writing an equation that models the scenario. Depending on the problem, you may need to write a second equation as well.

Lastly, think about what the problem is asking you to find. 

For example, are you looking for the values of two unknown variables? If so, you are likely going to be setting up and solving a system of linear equations.

​If you are being asked for the value of a single variable, the chances are you will be solving a single linear equation.

Now that you have a basic understanding of the concepts involved in solving linear equations word problems, it’s time to try a few!

My goal here is to provide you with a worksheet that you can use to practice and feel confident that you understand linear equations word problems!

While I was writing this worksheet, I made sure to include a wide variety of problems that range in difficulty. You will see a few simpler problems involving a two-step equation or multi-step equations, but you will also see a few problems that involve systems of linear equations.

After solving each word problem, be sure to check the answer key to verify that you fully understand the process used to set up the problem and solve it. Reflecting on your understanding is an important part of developing comfort with any given math concept!

Click below to download the linear equations word problems worksheet with solutions!

Using This Linear Equation Word Problems Worksheet

Being able to read a  real-world algebra problem  and set up a linear equation (or a system of linear equations) to solve it is a very challenging skill. In my experience as a math teacher, many students struggle with this concept, even if they fully understand the mathematics that the problem requires.

This is the main reason that I put together this linear equation word problems worksheet with solutions. My goal is to provide you with a set of word problems that you can use to check your understanding of solving linear equations in the real-world.

I hope you found this practice worksheet helpful as you continue your studies of algebra and linear equations!

If you are looking for more linear equations math worksheets in PDF formats, check out my collection of  solving linear inequalities worksheets  and this  linear inequality word problems worksheet .

Did you find this linear equation word problems worksheet with solutions helpful? Share this post and subscribe to Math By The Pixel on YouTube for more helpful mathematics content!

RECOMMENDED FOR YOU

Examples of One Solution Equations, zero solution equations, and infinite solutions equations

Examples of One Solution Equations, Zero, and Infinite

linear inequalities word problems worksheet

Free Linear Inequalities Word Problems Worksheet

' src=

Home

Reading & Math for K-5

  • Kindergarten
  • Learning numbers
  • Comparing numbers
  • Place Value
  • Roman numerals
  • Subtraction
  • Multiplication
  • Order of operations
  • Drills & practice
  • Measurement
  • Factoring & prime factors
  • Proportions
  • Shape & geometry
  • Data & graphing
  • Word problems
  • Children's stories
  • Leveled Stories
  • Sentences & passages
  • Context clues
  • Cause & effect
  • Compare & contrast
  • Fact vs. fiction
  • Fact vs. opinion
  • Main idea & details
  • Story elements
  • Conclusions & inferences
  • Sounds & phonics
  • Words & vocabulary
  • Reading comprehension
  • Early writing
  • Numbers & counting
  • Simple math
  • Social skills
  • Other activities
  • Dolch sight words
  • Fry sight words
  • Multiple meaning words
  • Prefixes & suffixes
  • Vocabulary cards
  • Other parts of speech
  • Punctuation
  • Capitalization
  • Narrative writing
  • Opinion writing
  • Informative writing
  • Cursive alphabet
  • Cursive letters
  • Cursive letter joins
  • Cursive words
  • Cursive sentences
  • Cursive passages
  • Grammar & Writing

Breadcrumbs

  • Word Problems
  • Variables & equations

Math Workbooks for Grade 5

Download & Print From only $2.60

Variables and equations

Word problems & variables.

These word problems involve variables and equations .  Students write out a full equation with the suggested variable representing the unknown, then solve the equation.  Underlying operations include addition, subtraction, multiplication and division of whole numbers and fractions.

using equations to solve word problems worksheet answer key

These worksheets are available to members only.

Join K5 to save time, skip ads and access more content. Learn More

More word problem worksheets

Explore all of our math word problem worksheets , from kindergarten through grade 5.

What is K5?

K5 Learning offers free worksheets , flashcards  and inexpensive  workbooks  for kids in kindergarten to grade 5. Become a member  to access additional content and skip ads.

Our members helped us give away millions of worksheets last year.

We provide free educational materials to parents and teachers in over 100 countries. If you can, please consider purchasing a membership ($24/year) to support our efforts.

Members skip ads and access exclusive features.

Learn about member benefits

This content is available to members only.

  • Forgot Password?

Write and Solve Equations From Word Problems

Help learners understand and solve real-world problems using algebraic reasoning with these mixed operation word problems! In Write and Solve Equations From Word Problems, students will write and solve one-variable addition, subtraction, multiplication, and division equations from given word problems. But first they'll need to use their reading comprehension skills to decide on the important pieces of information needed to solve each problem. This sixth-grade math worksheet provides essential practice writing and solving one-step equations with multi-digit numbers, and even includes a few problems with decimals.

View aligned standards

Words to Equations Worksheets

Related Pages Math Worksheets Lessons for Third Grade Free Printable Worksheets

Printable “Word Problems” Worksheets for 3rd Grade: Words to Equations 2-Step Word Problems (Multiply/Divide) Weight Word Problems Liquid Volume Word Problems Measurement Word Problems

Free printable math worksheets to help students learn how to translate words to equations.

Translating phrases and words into equations involves converting a given statement or problem into a mathematical equation. Here are some general guidelines to help you with this process:

  • Identify the Unknown: Determine what the problem is asking you to find or represent. Assign a variable to the unknown quantity, often using a letter such as x, y, or another appropriate symbol.
  • Understand the Operation: Identify the mathematical operation involved in the problem. Different phrases may indicate addition, subtraction, multiplication, division, or a combination of these operations.
  • Write an Equation: Use the information from the problem to create a mathematical equation. Pay attention to keywords that represent mathematical operations.

For addition, use words like “sum,” “total,” “altogether,” “in all,” etc. For subtraction, use words like “difference,” “less than,” “fewer than,” etc. For multiplication, use words like “times,” “product,” etc. For division, use words like “divided by,” “share equally,” etc.

Here are examples for each operation: Addition: “The sum of a number and 5 is 10” translates to x+5=10 Subtraction: “Subtract 3 from a number is 12” translates to x−3=12. Multiplication: “Three times a number is 21” translates to 3x=21. Division: “Divide a number by 4 is 7” translates to x ÷4=7 Combination: “Twice the sum of a number and 7 is 42” translates to 2(x+7) = 42.

By following these guidelines and paying attention to the language used in the problem, you can translate phrases and words into equations effectively.

Then, practice the following worksheets.

Click on the following worksheet to get a printable pdf document. Scroll down the page for more Words to Equations Worksheets .

Words to Equations Worksheet

More Words to Equations Worksheets

Printable (Answers on the second page) Words to Equations Worksheet #1 (Phrases to equations) Words to Equations Worksheet #2 (Phrases to equations) Words to Equations Worksheet #3 (Word problems to equations) Words to Equations Worksheet #4 (Word problems to equations) Words to Equations Worksheet #5 (Word problems to equations) Words to Equations Worksheet #6 (Word problems to equations) Words to Equations Worksheet #7 (Word problems to equations)

Related Lessons & Worksheets

Finding Unknowns

Solve 1-step equations (addition & subtraction) Solve 1-step equations (multiplication & division) Solve 1-step equations (all operations)

More Printable Worksheets

Mathway Calculator Widget

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.

  • 1st Grade Math
  • 2nd Grade Math
  • 3rd Grade Math
  • 4th Grade Math
  • 5th Grade Math
  • 6th Grade Math
  • 7th Grade Math
  • 8th Grade Math
  • Knowledge Base
  • Math tutors

Algebra Word Problems Worksheets

Created on Jul 04, 2024

Updated on July 4, 2024

Algebra is a subfield of mathematics that deals with symbols and the rules for manipulating them. Symbols represent numbers without set values. The first step in answering word problems is to convert the given scenario into algebraic formulas. With the algebra word problems worksheet, you can rest assured that your kids will understand algebra easily.

Benefits of solving algebraic word problems worksheets

Students can better understand algebra word problems by using the algebraic word problems worksheet. These online algebra worksheets provide an excellent opportunity to exercise your brain and improve your reasoning abilities. 

The worksheet features complex and straightforward algebra word problems. Kids will proceed from the simple to the relatively complex ones. Also, the math resource has numerous graphics, making it more engaging. 

banner-img

We know you want your child to excel in math

What better way to do it than at Brighterly’s Online Summer Camp?

banner-img

The algebra worksheets cover many subjects, including exponents, sets, logarithms, expressions, equations, sequences, and series. And students, regardless of their academic grade, will find these free algebra worksheets with answers PDF comprehensive and easy to use. 

With the algebra word problems worksheet PDF, you can rest assured that your kids will learn seamlessly. The material is carefully designed stepwise by expert tutors experienced in handling kids. Your students will start from the simplest to the most complex tasks.

Download algebra word problems worksheet PDFs

You can download algebra word problems worksheet PDFs online to help you use the resources continuously; this ensures understanding and retention. With the paper format, your kids can learn without your assistance.

Author Jo-ann Caballes

As a seasoned educator with a Bachelor’s in Secondary Education and over three years of experience, I specialize in making mathematics accessible to students of all backgrounds through Brighterly. My expertise extends beyond teaching; I blog about innovative educational strategies and have a keen interest in child psychology and curriculum development. My approach is shaped by a belief in practical, real-life application of math, making learning both impactful and enjoyable.

Math programs from 1st to 8th grade

Online summer math camp for kids and teens.

Image -Online Summer Math Camp for Kids and Teens

Choose kid's grade

Summer Math Program Boost Your Child's Math Abilities! Ideal for 1st-8th Graders, Perfectly Synced with School Curriculum!

Online Summer Math Camp for Kids and Teens

What do we offer?

Related worksheets, telling time worksheets grade 2.

Telling time might be uneasy to young minds. But the good news is that parents can use custom learning resources to help their children learn perplexing math topics like time telling. At Brighterly, you can download time telling worksheets for grade 2. These learning materials promote time telling skills through fun assignments and explanatory visuals. […]

Symmetry Worksheets

As children embark on their mathematical journey, they are introduced to various geometric concepts, one of which is symmetry. Symmetry, the balanced distribution of equivalent parts about a common line or point, is not just a mathematical concept but a phenomenon evident in nature, art, architecture, and our daily lives. To help young learners grasp […]

2 Digit Subtraction With Regrouping Worksheets

Tackling double digit subtraction without regrouping worksheets can be a challenge for elementary school kids. That is why every teacher should get these tools to facilitate their students’ learning. The worksheets have exercises that help students improve their 2-digit subtraction skills, exercise their memories, and make them less scared of math problems. All about 2 […]

Kid’s grade

We use cookies to help give you the best service possible. If you continue to use the website we will understand that you consent to the Terms and Conditions. These cookies are safe and secure. We will not share your history logs with third parties. Learn More

Mathwarehouse Logo

Algebra Worksheets

Free worksheets with answer keys.

Enjoy these free printable sheets . 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.

  • Distance Formula
  • Equation of Circle
  • Factor Trinomials Worksheet
  • Domain and Range
  • 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
  • Mulitplying Radicals Worksheet
  • Radicals Review (Mixed review worksheet on radicals and square roots)
  • 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)
  • Scientific Notation
  • Operations with Scientific Notation

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

Popular pages @ mathwarehouse.com.

Surface area of a Cylinder

IMAGES

  1. Solving Equations Worksheets With Answers

    using equations to solve word problems worksheet answer key

  2. Using Simple Equations To Solve Word Problems Worksheet for 5th

    using equations to solve word problems worksheet answer key

  3. Solving Systems Of Equations Word Problems Worksheet Answer Key

    using equations to solve word problems worksheet answer key

  4. Using Equations To Solve Word Problems Worksheets Answer Key

    using equations to solve word problems worksheet answer key

  5. Solving Word Problems Using Systems Of Equations Worksheet Answers

    using equations to solve word problems worksheet answer key

  6. Write Equations to Solve Word Problems Worksheet

    using equations to solve word problems worksheet answer key

VIDEO

  1. Using Equations to Solve Word Problems

  2. Excel Math Tutorial: Solving Word Problems with Linear Equations

  3. Algebra 1 Lesson #24 How to Solve Word Problems with Linear Systems of Equations Two Variables

  4. How to tackle subtraction word problems + worksheet

  5. Writing one step equations from word problems- Math

  6. ALEKS: Solving a word problem in the form y=mx+b, example 1

COMMENTS

  1. Equation Word Problems Worksheets

    This compilation of a meticulously drafted equation word problems worksheets is designed to get students to write and solve a variety of one-step, two-step and multi-step equations that involve integers, fractions, and decimals. These worksheets are best suited for students in grade 6 through high school. Click on the 'Free' icons to sample our ...

  2. PDF Solving systems of equations word problems worksheet For all problems

    Solving systems of equations word problems worksheet For all problems, define variables, write the system of equations and solve for all variables. The directions are from TAKS so do all three (variables, equations and solve) no matter what is asked in the problem. 1. A large pizza at Palanzio's Pizzeria costs $6.80 plus $0.90 for each topping.

  3. Algebraic word problems

    Solving algebraic word problems requires us to combine our ability to create equations and solve them. To solve an algebraic word problem: Define a variable. Write an equation using the variable. Solve the equation. If the variable is not the answer to the word problem, use the variable to calculate the answer.

  4. PDF Systems of Equations Word Problems

    1) Find the value of two numbers if their sum is 12 and their difference is 4. 2) The difference of two numbers is 3. Their sum is 13. Find the numbers. 3) Flying to Kampala with a tailwind a plane averaged 158 km/h. On the return trip the plane only averaged 112 km/h while flying back into the same wind.

  5. Equations and Word Problems

    These free equations and word problems worksheets will help your students practice writing and solving equations that match real-world story problems. Your students will write equations to match problems like "Kelly is 8 years younger than her sister. The sum of their ages is 44 years. How old is Kelly and how old is her sister?" and ...

  6. Linear Equation Word Problems Worksheet (pdf) and Answer Key. 31

    Free worksheet(pdf) and answer key on the solving word problems based on linear equations and real world linear models. Scaffolded questions that start relatively easy and end with some real challenges. Plus model problems explained step by step

  7. Algebra 1 Worksheets

    Distance, Rate, and Time Word Problems. These Algebra 1 Equations Worksheets will produce distance, rate, and time word problems with ten problems per worksheet. You may select the numbers to be represented with digits or in words. These Equations Worksheets are a good resource for students in the 5th Grade through the 8th Grade.

  8. PDF Systems of Equations Word Problems

    Systems of Equations Word Problems. 2) Flying with the wind a plane went 183 km/h. Flying into the same wind the plane only went 141 km/h. Find the speed of the plane in still air and the speed of the wind. 3) Castel and Gabriella are selling pies for a school fundraiser. Customers can buy apple pies and lemon meringue pies.

  9. Algebra Based Word Problems Worksheets

    This set of worksheets contains lessons, step-by-step solutions to sample problems, both simple and more complex problems, many worksheets, a review, and a quiz. When finished with this set of worksheets, students will be able to solve both basic and intermediate-level word problems using algebra. These worksheets explain how to solve word ...

  10. Algebra Word Problems Worksheets

    Homework Worksheet. 12 Algebra Word problems for students to work on at home. Example problems are provided and explained. Sample: Sherlock bought a car for $5600. He sold it to Rachel for 5/6 the price he paid for it. Rachel sold it to Arleen for 1/5 less than she paid. Arleen sold it to Rick for 3/4 what she paid.

  11. PDF Algebra Word Problems Packet #1 On a separate sheet of paper, write

    WordProbPacket2. Algebra Word Problems Packet #1. On a separate sheet of paper, write your "Let" statement(s) to define the unknown. Solve each problem using an algebraic equation. 1. Twice a number is 500 more than six times the number. What is the number? 2.

  12. PDF 3.12 Distributive Property and Word Problems KEY

    Write an equation. Step 2. Write a let statement. Underline any key information. Step 1. Read the problem carefully. Steps to solving twostep word problems: the difference of. the sum of.

  13. Algebra 1

    One Step Equations Word Problems. This one step word problems worksheet will produce ten problems per worksheet. You may select the numbers to be represented with digits or in words. You may increase the difficulty by selecting extra unnecessary information.

  14. Linear Equations Word Problems Worksheet with Solutions

    A two-step equation requires you to perform just two steps in order to determine the unique solution to the linear equation. The first step is to identify the side of the equation with the unknown variable. Your goal will be to isolate this variable (or get it by itself). Consider the following example: 9 = 2x − 5.

  15. Writing Equations Worksheets

    For each problem, write the sentence as an equation. Example: Fifty-four is the difference between twice of a number and 10. Writing an equation is generally the first step toward solving or using it. Learn more about how to write an equation with worksheets help.

  16. Solving Word Problems Using Algebra (worksheet, solution)

    Note that you will lose points if you ask for hints or clues! Solve the following word problems: a) When 9 is subtracted from a number and then divided by 2, the answer is 4. What is the number? The number is. b) The length of a rectangle is twice that of the width. The perimeter of the rectangle is 24 cm.

  17. Variables and equations word problem worksheets

    These word problems involve variables and equations. Students write out a full equation with the suggested variable representing the unknown, then solve the equation. Underlying operations include addition, subtraction, multiplication and division of whole numbers and fractions. Worksheet #1 Worksheet #2 Worksheet #3 Worksheet #4.

  18. PDF Lesson 18 Writing Equations for Word Problems

    Lesson 18: Word Problems Worksheet Name _____ 1. Use the structure sentence Number of boxes • Number of Items per Box = Total Number of Items to write an equation for each problem. Use a variable where necessary. You don't need to solve the equations. 2. At your wedding reception, you'll have:

  19. Systems of equations word problems

    Systems of equations word problems. Google Classroom. Microsoft Teams. You might need: Calculator. Malcolm and Ravi raced each other. The average of their maximum speeds was 260 km/h . If doubled, Malcolm's maximum speed would be 80 km/h more than Ravi's maximum speed. What were Malcolm's and Ravi's maximum speeds?

  20. Word Problems Worksheets

    These mixed operations word problems worksheets will produce addition, multiplication, subtraction and division problems with 1 or 2 digit numbers. These word problems worksheets will produce ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

  21. Write and Solve Equations From Word Problems

    In Write and Solve Equations From Word Problems, students will write and solve one-variable addition, subtraction, multiplication, and division equations from given word problems. But first they'll need to use their reading comprehension skills to decide on the important pieces of information needed to solve each problem. This sixth-grade math ...

  22. Words to Equations Worksheets (Printable, Online)

    Here are examples for each operation: Addition: "The sum of a number and 5 is 10" translates to x+5=10. Subtraction: "Subtract 3 from a number is 12" translates to x−3=12. Multiplication: "Three times a number is 21" translates to 3x=21. Division: "Divide a number by 4 is 7" translates to x ÷4=7.

  23. Printable algebra word problems worksheet

    And students, regardless of their academic grade, will find these free algebra worksheets with answers PDF comprehensive and easy to use. With the algebra word problems worksheet PDF, you can rest assured that your kids will learn seamlessly. The material is carefully designed stepwise by expert tutors experienced in handling kids.

  24. Algebra Workshets -- free sheets(pdf) with answer keys

    Enjoy these free printable sheets. 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. Algebra. Distance Formula. Equation of Circle. Factoring. Factor Trinomials Worksheet. Functions and Relations.