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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.

pdf 1

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.

worksheet 1

MCQ - Two-Step 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.

exercise 1

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.

printable 1

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.

practice 1

Related Worksheets

» One-step Equation

» Two-step Equation

» Multi-step Equation

» Algebraic Identities

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Algebra Word Problems Worksheets

In algebra word problems worksheets, we will talk about algebra, which is a branch of mathematics dealing with symbols and the rules for manipulating these symbols. They represent quantities without fixed values, known as variables. Solving algebraic word problems requires us to combine our ability to create and solve equations. Translating verbal descriptions into algebraic expressions is an essential initial step in solving word problems.

Benefits of Algebra Word Problems Worksheets

We use algebra in our everyday life without even realising it. Solving algebraic word problems worksheets help kids relate and understand the relevance of algebra in the real world. Algebra finds its way while cooking, measuring ingredients, sports, finance, professional advancement etc. They help in logical thinking and help students to break down a problem and then find its solution.

Download Algebra Word Problems Worksheet PDFs

These math worksheets should be practiced regularly and are free to download in PDF formats.

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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.

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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

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Worksheets For Teachers

Home > Math Worksheets > Word Problems > Algebra Based Word Problems

Students will "translate" each word problem into an algebraic equation, and then solve for the answer to the questions. Questions include problems about real-life kinds of situations, multiple choice questions, as well as questions specifically about algebraic equations which the student must construct and solve. In both concept/terminology and execution, problems range from the simple (writing " number sentences ") to more complex (constructing algebraic equations). Some problems involve fractions. Independent practice worksheets are also provided at both the basic and intermediate skills level, so that students can improve continue to improve their proficiency. 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 problems using algebra. Sample problems are solved and practice problems are provided.

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Algebra based word problems worksheets, click the buttons to print each worksheet and answer key., algebra based word problems lesson.

This worksheet explains how to set up an algebraic equation to solve a word problem. A sample problem is solved.

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Algebra Based Word Problems Lesson and Practice

Students will set up algebraic equations to solve word problems. A sample problem is solved and two practice problems are provided.

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Algebra Based Word Problems Worksheet

Students will set up algebraic equations to solve word problems. Ten problems are provided.

Algebra Based Word Problems Practice

Students will choose the correct algebraic equation for the given word problem. Ten problems are provided.

Algebra Based Word Problems Drill

Students will solve word problems by setting up algebraic equations. Eight problems are provided.

Algebra Based Word Problems Warm Up

Students will set up algebraic equations to solve word problems set up algebraic equations to solve word problems. Three problems are provided.

Word Problems Requiring Algebra Lesson

This worksheet explains how to solve a word problem using a simple algebraic equation. A sample problem is solved.

Word Problems Requiring Algebra Lesson and Practice

Students will solve word problems using a simple algebraic equation. A sample problem is solved and two practice problems are provided.

Word Problems Requiring Algebra Worksheet

Students will write a number sentence for each problem. Ten problems are provided.

Word Problems Requiring Algebra Practice

Students will practice writing number sentences for word problems. Ten problems are provided.

Word Problems Requiring Algebra Drill

Students will write number sentences for word problems. Eight problems are provided.

Word Problems Requiring Algebra Warm Up

Students will "translate" word problems into number sentences. Three problems are provided.

Solve Word Problems with Algebra Lesson

This worksheet explains how to construct an algebraic equation to solve a word problem. A sample problem is solved, and two practice problems are provided.

Solve Word Problems with Algebra Worksheet

Students will construct algebraic equations to solve word problems. Ten problems are provided.

Solve Word Problems with Algebra Practice

Students will practice constructing algebraic equations to solve word problems. Ten problems are provided.

Solve Word Problems with Algebra Review

The concept of how to solve a word problem using algebra is reviewed. A sample problem is solved and six practice problems are provided.

Solve Word Problems with Algebra Quiz

Students will demonstrate their proficiency in solving word problems using algebra. Ten problems are provided.

Solve Word Problems with Algebra Check

Students will construct an algebraic equation to solve a word problem. Three problems are provided, and space is included for students to copy the correct answer when given.

Basic Skills Algebra Word Problems Worksheet

Students will use basic skills to solve word problems using algebra. Ten problems are provided.

Basic Skills Algebra Word Problems Practice

Students will solve simple algebra word problems using basic skills. Ten problems are provided.

Intermediate Skills Algebra Word Problems Worksheet

Students will solve simple algebra word problems using intermediate skills. Eight problems are provided.

Intermediate Skills Algebra Word Problems Practice

Students will practice solving simple algebra word problems using intermediate skills. Ten problems are provided.

Intermediate Skills Algebra Word Problems Drill

Students will use intermediate algebra skills to solve word problems. Ten problems are provided.

Algebra Word Problems Lesson

This worksheet explains how to use algebra to solve a word problem. A sample problem is solved.

Algebra Word Problems Lesson and Practice

Students will use algebra to solve word problems. A sample problem is solved and two practice problems are provided.

Algebra Word Problems Worksheet

Students will use algebraic equations to solve word problems. Ten problems are provided.

Algebra Word Problems Practice

Students will practice solving word problems with algebra. Ten problems are provided.

Algebra Word Problems Drill

Students will use algebra to solve word problems. Eight problems are provided.

Algebra Word Problems Warm Up

Students will practice using algebra to solve word problems. Three problems are provided.

Solving Word Problems Using Algebra (Worksheet)

Related Topics & Worksheets: Algebra Worksheets Evaluate Algebraic Expressions by Substitution Worksheet

Objective: I know how to solve word problems using algebra.

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. What is the width of the rectangle? The width of the rectangle is cm c) Marcus, Sally and Sammy decided to share 20 sweets. Marcus took 8 sweets and Sally took three times as many as Sammy. How many sweets did Sammy receive? Sammy received sweets. d) If the sum of three consecutive numbers is 72, what is the largest number? The largest number is e) Andy is 2 times younger than his sister and his father is 25 years older than him. If the total of their ages is 53 years, what is Andy’s age and his father’s age? Andy is years old and his father is years old. f) The length and width of a rectangle are 7 cm and (x - 8) cm respectively. Find the value of x if the area of the rectangle is 42 cm2. The value of x is cm g) Carol is y years old and her daughter is 25 years younger. Find Carol’s present age if the sum of their ages in 6 years’ time is 75 years Carol’s age is h) Diana buys 20 apples at x cents each and 40 oranges at x + 10 cents. She packs them into bags containing 5 apples and 10 oranges and sells the bags for 20x cents each. Find out the amount that Diana paid for each apple if she obtained a total of $24 from selling all the fruits. The apple cost cents each

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Solving word problems using equations

Solving word problems using equations

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

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22 February 2018

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Worksheet on Word Problems on Linear Equation

In worksheet on word problems on linear equation in one variable student can practice different types of equation problems.

1.  Convert the following statements into equations.  (a) 5 added to a number is 9.  (b) 3 subtracted from a number is equal to 12.  (c) 5 times a number decreased by 2 is 4.  (d) 2 times the sum of the number x and 7 is 13.  2.  A number is 12 more than the other. Find the numbers if their sum is 48.  3.  Twice the number decreased by 22 is 48. Find the number.  4.  Seven times the number is 36 less than 10 times the number. Find the number.  5.  4/5 of a number is more than 3/4 of the number by 5 . Find the number. 

6. The sum of two consecutive even numbers is 38. Find the numbers. 7. The sum of three consecutive odd numbers is 51. Find the numbers. 8. Rene is 6 years older than her younger sister. After 1 0 years, the sum of their ages will be 50 years. Find their present ages. 9. The length of a rectangle is 10 m more than its breadth. If the perimeter of rectangle is 80 m, find the dimensions of the rectangle. 10. A 300 m long wire is used to fence a rectangular plot whose length is twice its width. Find the length and breadth of the plot. 11. The denominator of a fraction is greater than the numerator by 8. If the numerator is increased by 17 and denominator is decreased by 1, the number obtained is 3/2, find the fraction. 12. A sum of $2700 is to be given in the form of 63 prizes. If the prize is of either $100 or $25, find the number of prizes of each type. 13. In a class of 42 students, the number of boys is 2/5 of the girls. Find the number of boys and girls in the class. 14. Among the two supplementary angles, the measure of the larger angle is 36° more than the measure of smaller. Find their measures. 15. My mother is 12 years more than twice my age. After 8 years, my mother’s age will be 20 years less than three times my age. Find my age and my mother’s age. 16. In an isosceles triangle, the base angles are equal and the vertex angle is 80°. Find the measure of the base angles. 17. Adman’s father is 49 years old. He is 5 years older than four times Adman’s age. What is Adman’s age? 18. The cost of a pencil is 25 cents more than the cost of a eraser. If the cost of 8 pencils and 10 erasers is $12.80, find the cost of each. 19. Divide 36 into two parts in such a way that 1/5 of one part is equal to 1/7 of the other. 20. The length of the rectangle exceeds its breadth by 3 cm. If the length and breadth are each increased by 2 cm, then the area of new rectangle will be 70 sq. cm more than that of the given rectangle. Find the length and breadth of the given rectangle.

Answers for worksheet on word problems on linear equation in one variable are given below so that student can check the exact answers of the equation problems.

1. (a) x + 5 = 9

(b) x - 3 = 12

(c) 5x - 2 = 4

(d) 2(x + 7) = 13 2. 18, 30 3. 35 4. 12 5. 100 6. 18, 20 7. 15, 17, 19 8. 12, 18 years 9. 15 cm, 25 cm 10. 50 m, 100 m 11. 13/21 12. 15, 48 13. 30 girls, 12 boys 14. 72°, 108° 15. 16 years, 44 years 16. 50° 17. 11 years 18. eraser – 60 cents, pencil – 85 cents 19. 15, 21 20. length = 18 m, breadth = 15 m

●   Equations

What is an Equation?

What is a Linear Equation?

How to Solve Linear Equations?

Solving Linear Equations

Problems on Linear Equations in One Variable

Word Problems on Linear Equations in One Variable

Practice Test on Linear Equations

Practice Test on Word Problems on Linear Equations

●   Equations - Worksheets

Worksheet on Linear Equations

7th Grade Math Problems

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  1. SUBTRACTION : Word Problems for Grade 2

  2. Sam is 10 yrs older than his sister. Next year he will be twice as old. How old is Sam now?

  3. 7m + 5

  4. Jen has 3 times more shoes than her mom. Together they have 24 shoes

  5. You will understand how to plot points with zero in the coordinate plane. (PART THREE)

  6. A Beautiful Exponential Problem

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  7. Variables and equations word problem worksheets

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  8. Equations and Word Problems

    Free worksheets where you will practice writing & solving equations that match real world situations. Include two step equations and combining like terms.

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    (d) 2 times the sum of the number x and 7 is 13. 2. A number is 12 more than the other. Find the numbers if their sum is 48. 3.