Translating word problems into equations worksheet pdf

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.

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.

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.

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.

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.

☛ Check Grade wise Algebra Word Problems Worksheets

• 1st Grade Algebra Worksheets
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• 5th Grade Algebra Worksheets
• Grade 6 Algebra Worksheets
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• 8th Grade Algebra Worksheets

Translating a sentence or statement into an algebraic equation is an important stuff which is much required to solve word problems in math. 

Let us see, how to translate the information given in a word problem into an algebraic expression or equation in the following examples. 

Example 1 :

Example 2 :

Example 3 :

Example 4 :

Example 5 :

Translating Word Problems into Equations Step by Step

Problem :

The age of a father is thrice the sum of the ages of his two sons and 5 years hence his age will be twice the sum of their ages. Find the present age of the father.

Solution :

Step 1 :

Let us understand the information given.

There are two information given in the question. 

1. The age of the father is thrice the sum of the ages of his two sons. (At present)

2. After 5 years, his age would be twice the sum of their ages. (After 5 years)

Step 2 :

Target of the question : Present age of the father

Step 3 :

Introduce required variables for the information given in the question. 

Let x be the present age of the father.

Let y be the sum of present ages of two sons.

Clearly, the value of x to be found.

Because that is the target of the question.

Step 4 :

Translate the given information as mathematical equation using x and y. 

First information :  

The age of the father is thrice the sum of the ages of his two sons.

Translation (i) :

The Age of the father ----->  x

is ----->  =

Thrice the sum of the ages of his two sons ----->  3y 

Equation related to the first information using x and y is

x  =  3y -----(1)

Second Information :

After 5 years, his age would be twice the sum of their ages.

Translation (ii) :

Age of the father after 5 years ----->  (x + 5)

After 5 years :

Sum of the ages of his two sons ----->  y + 5 + 5  =  y + 10

(Here we have added 5 two times.The reason is there are two sons)

Twice the sum of ages of two sons -----> 2(y + 10)

would be ----->  =

Equations related to the second information using x and y is

x + 5  =  2(y + 10)

Simplify.

x + 5  =  2y + 20

Subtract 2y and 5 from each side.

x - 2y  =  15 -----(2)

Step 5 :

Solve (1) and (2) to find the value of the unknown.

Substitute 3y for x in (2).

(2)-----> 3y - 2y  =  15

y  =  15

Substitute 15 for y in (1).

(1)-----> x  =  3(15)

x  =  45

Therefore, the present age of the father is 45 years.

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