One step word problems

One-step equations can also be communicated in the form of word problems. The only difference between mathematically expressed equations and word problems is that, in word problems, you have to recognize the variable and other elements of the equation yourself. The easiest way to explain this would be using an example. So let us try with this one.

An example of one-step equations with word problems

Let us imagine that you are working as a computer programmer in a company that makes computer games. You are getting paid 50$ per hour and at the end of the day, you earned 400$. How many hours did you have to work to earn that kind of money?

The first thing we have to do is to recognize the variable. In this case, it would be the hours that we had to work to earn that wage. We will mark it using the letter „X“ (you can use whatever letter you want).

50 * X = 400

Your hourly wage is on the left side with the variable because you have to work „X“ hours a day while being paid 50$ per hour to earn your daily wage of 400$ (which is on the right side of the equation). Since this is a one-step equation, the only thing left to do is to get rid of the number in front of our variable so we can find the value of „X“. We can do that by dividing the whole equation by 50.

50 * X = 400 |: 50

X = 8

You can see now that the number of hours you have to work to earn 400$ if you are being paid 50$ per hour is 8. This is the value of our „X“ and the solution of our word problem.

Knowing how to mathematically express and solve word problems has genuine real world applications and you will use those skills very often during the course of your everyday life. Therefore, it is important that you feel comfortable using them. To master solving word problems with one-step equations, download the worksheets below and practice solving them on your own.

One-step equations – word problems exams for teachers

Exam Name	File Size	Downloads	Upload date
Addition and subtraction
One-step equations – Word problems – easy	460.5 kB	40949	September 3, 2019
One step equations – Word problems – medium	460.4 kB	28796	September 3, 2019
One-step equations – Word problems – hard	462.4 kB	15610	September 3, 2019
Multiplication and division
One-step equations – Word problems – easy	460.5 kB	18886	September 3, 2019
One-step equations – Word problems – medium	460.3 kB	14992	September 3, 2019
One-step equations – Word problems – hard	462.1 kB	9863	September 3, 2019
Combined
One-step equations – Word problems – easy	460.5 kB	22960	September 3, 2019
One-step equations – Word problems – medium	460.6 kB	22014	September 3, 2019
One-step equations – Word problems – hard	15.7 kB	12064	November 25, 2011
Complete
One-step equations – Word problems – Complete	16.0 kB	14037	November 25, 2011

One-step equations – word problems worksheets for students

Worksheet Name	File Size	Downloads	Upload date
One-step equations – Word problems – Addition and subtraction	548.5 kB	19721	September 3, 2019
One-step equations – Word problems – Multiplication and division	536.6 kB	11677	September 3, 2019
One-step equations – Word problems – Combined equations	550 kB	20544	September 3, 2019

A one-step equation is as straightforward as it sounds. We just have to perform one step in order to solve the equation. 

We have to isolate the variable which comes in the equation. 

That is, we have to get rid of the number which is added to the variable or subtracted from the variable or multiplied by the variable or divides the variable. 

Problems

Problem 1 :

When 7 is added to a number, we get 25. Find the number. 

Solution : 

Let x be the required number. 

Then, 

x + 7  =  25

Here, 7 is added to x.

To get rid of 7, we have to subtract 7 from each side of the equation.

Then, 

x  =  18

So, the required number is 18.

Problem 2 :

When we multiply a number by 4, we get 124. Find the number. 

Solution : 

Let x be the required number. 

Then,

4x  =  124

Here, x is multiplied by 4.

To get rid of 4, we have to divide each side of the equation by 4. 

Then,

x  =  31

So, the required number is 31.

Problem 3 :

When we divide a number by 7, we get 14. Find the number. 

Solution : 

Let m be the required number. 

Then,

m / 7  =  14

Here, m is divided by 7.

To get rid of 7, we have to multiply each side of the equation by by 7.

Then,

m  =  98

So, the required number is 98.

Problem 4 :

John had some candies. He gave 5 candies to his friend and now he has 18 candies. How many candies did John initially have ? 

Solution : 

Let m be the no. of candies that John initially had. 

Then,

m — 5   =  18

Here, 5 is subtracted from m.

To get rid of 5, we have to add 5 to each side of the equation. 

Then, 

m  =  23

So, John initially had 23 candies.

Problem 5 :

Alex borrowed some money from Jose. After 3 years, Alex returned 2 times of borrowed money to Jose. If the returned money is $226, how much money did Alex borrow from Jose ?

Solution : 

Let x be the borrowed money. 

Then,

2x   =  226

Here, x is multiplied by 2.

To get rid of 2, we have to divide each side of the equation by 2.

Then, 

x  =  113

So, the borrowed money is $113.

Problem 6 :

The sum of two numbers 22.5. If one number is 7.5, find the other number. 

Solution : 

Let x be the other number. 

Then,

x + 7.5   =  22.5

Here, 7.5 is added to x.

To get rid of 7.5, we have to subtract 7.5 from each side of the equation.

Then,

x  =  15

So, the other number is 15.

Problem 7 :

David has some money. He gave one fourth of the money to Lily. If Lily gets $8 from David, how much money did David have initially ? 

Solution : 

Let m be the money that David had initially.  

Then,

m / 4  =  32

Here, m is divided by 4.

To get rid of 4, we have to multiply each side of the equation by 4. 

Then,

m  =  128

So, David had $128 initially.

Problem 8 :

In a deposit, invested money will become 4 times itself in 5 years. If Rosy receives $3280 after five years, how much money did Rosy invest ?  

Solution : 

Let m be the money that Rosy invested.  

Then,

4m  =  3280

Here, m is multiplied by 4.

To get rid of 4, we have to divide each side of the equation by 4. 

Then,

m  =  820

So, Rosy invested $820.

Problem 9 :

Jacob has some number of candies and Michael has 35 candies. If Michael has candies 5 times as Jacob, how many candies does Jacob have ? 

Solution : 

Let p be the number of candies that Jacob has. 

Then,

5p  =  35

Here p is multiplied by 5.

To get rid of 5, we have to divide each side of the equation by 5.

Then,

p  =  7

So, Jacob has 5 candies.

Problem 10 :

Daniel had some hot dogs and he gave one third of the hot dogs to Alex. If Alex gets 8 hot dogs from Daniel, how many hot dogs did have initially ? 

Solution : 

Let h be the number of hot dogs that Daniel had initially. 

Then,

m / 3  =  8

Here m is divided by 3.

To get rid of 3, we have to multiply each side of the equation by 3. 

Then,

m  =  24

So, Daniel had 24 hot dogs initially.

Worksheets

Please click the below links to download one step equations worksheets as pdf documents.. 

Worksheet -1

Worksheet -2

Worksheet -3

Worksheet -4

Worksheet -5

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Dynamically Created Word Problems

Here is a graphic preview for all of the word problems worksheets. You can select different variables to customize these word problems worksheets for your needs. The word problems worksheets are randomly created and will never repeat so you have an endless supply of quality word problems worksheets to use in the classroom or at home. Our word problems worksheets are free to download, easy to use, and very flexible.

These word problems worksheets are a great resource for children in 3rd Grade, 4th Grade, and 5th Grade.

Click here for a Detailed Description of all the Word Problems Worksheets.

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Words to Symbols Word Problems	Addition Word Problems Using 1 Digit with 2 Addends	Addition Word Problems Using 2 Digit with 2 Addends
Addition Word Problems Using 1 Digit with 3 Addends	Addition Word Problems Using 2 Digit with 3 Addends	Addition Word Problems 2 Digit Missing Addends
Subtraction Word Problems Using 1 Digit	Subtraction Word Problems Using 2 Digits	Addition and Subtraction Word Problems Using 1 Digit
Addition and Subtraction Word Problems Using 2 Digits	Addition and Subtraction Word Problems 2 Digits With No Regrouping	Addition and Subtraction Word Problems Using 3 Digits
Multi-Step Problems Addition and Subtraction	Multiplication Word Problems Using 1 Digit	Multiplication Word Problems Using Dozens
Multiplication Word Problems Using 2 Digits	Division Word Problems Using 1 Digit in Divisor	Division Word Problems Using Dozens in Divisor
Division Word Problems Using Multiple Digits in Divisor	Division Word Problems Dividing with Fractions	Multiplication and Division Word Problems Using 1 Digit
Mixed Operations Problems Using 1 or 2 Digits	One Step Equation Word Problems	Two Step Equation Word Problems
Multi-Step All Operations Word Problems	Fractions Word Problems Adding Two Fractions	Fractions Word Problems Adding Three Fractions
Fractions Word Problems Subtracting Fractions	Fractions Word Problems Adding Two Mixed Numbers	Fractions Word Problems Subtracting Two Mixed Numbers
U. S. Coins Word Problems Adding Coins Worksheets	Advanced Adding U. S. Coins Word Problems	U. S. Money Word Problems Adding Two Purchases
U. S. Money Word Problems Adding Three Purchases	U. S. Money Word Problems Change from a Purchase	Travel Time Word Problems
Reading a Calendar Word Problems	Elapsed Dates Word Problems	Ratios and Rate Word Problems
Percentage Word Problems	Mixed Operations with Key Phrases Word Problems	U.S. Money Change from a Purchase Multiplication Word Problems

Detailed Description for All Word Problems Worksheets

Words to Symbols Handout
This Word Problems Worksheet will produce a great handout to help students learn the symbols for different words and phrases in word problems.

Addition Word Problems Worksheets Using 1 Digit with 2 Addends
These addition word problems worksheets will produce 1 digit problems with two addends, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Addition Word Problems Worksheets Using 2 Digits with 2 Addends
These addition word problems worksheets will produce 2 digits problems with two addends, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Addition Word Problems Worksheets Using 1 Digit with 3 Addends
These addition word problems worksheets will produce 1 digit problems with three addends, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Addition Word Problems Worksheets Using 2 Digits with 3 Addends
These addition word problems worksheets will produce 2 digits problems with three addends, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Addition Word Problems Worksheets 2 Digits Missing Addends
These addition word problems worksheet will produce 2 digits problems with missing addends, with ten problems per worksheet. You may select between regrouping and non-regrouping type of problems. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Subtraction Word Problems Worksheets Using 1 Digit
These subtraction word problems worksheets will produce 1 digit problems, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Subtraction Word Problems Worksheets Using 2 Digits
These subtraction word problems worksheets will produce 2 digits problems, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Addition and Subtraction Word Problems Worksheets Using 1 Digit
These addition and subtraction word problems worksheets will produce 1 digit problems, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Addition and Subtraction Word Problems Worksheets Using 2 Digits
These addition and subtraction word problems worksheets will produce 2 digits problems, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Addition and Subtraction Word Problems Worksheets 2 Digits With No Regrouping
These addition and subtraction word problems worksheets will produce 2 digits problems with no regrouping and ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Addition and Subtraction Word Problems Worksheets Using 3 Digits
These addition and subtraction word problems worksheets will produce 3 digits problems, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Multi-Step Problems Addition and Subtraction
These multi-step addition and subtraction word problems worksheets will produce 10 problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Multiplication Word Problems Worksheets Using 1 Digit
These multiplication word problems worksheets will produce 1 digit problems, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Multiplication Word Problems Worksheets Using Dozens
These multiplication word problems worksheets will produce problems using dozens, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Multiplication Word Problems Worksheets Using 2 Digits
These multiplication word problems worksheets will produce 2 digits problems, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Division Word Problems Worksheets Using 1 Digit in Divisor
These division word problems worksheets will produce 1 digit divisor problems, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Division Word Problems Worksheets Using Dozens in Divisor
These division word problems worksheets will produce problems using dozens in the divisor, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Division Word Problems Worksheets Using Multiple Digits in Divisor
These division word problems worksheets will produce multiple digits in the divisor for the problems, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Dividing with Fractions Worksheets
These division Word Problems Worksheets will produce problems that focus on division with fractions. You have the option to select the range of denominators, as well as the types of fractions displayed. These word problems worksheets are appropriate for 4th Grade, 5th Grade, and 6th Grade.

Multiplication and Division Problems Using 1 Digit
These multiplication and division word problems worksheets will produce 1 digit problems, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Mixed Operations Word Problems Using 1 or 2 Digits
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.

One Step Equation Word Problems
These equations worksheets will produce one step word problems. These worksheets will produce ten problems per worksheet. These word problems worksheets are a good resource for students in the 5th Grade through the 8th Grade.

Two Step Equation Word Problems
These equations worksheets will produce two step word problems. These worksheets will produce ten problems per worksheet. These word problems worksheets are a good resource for students in the 5th Grade through the 8th Grade.

Multi-Step All Operations Word Problems
These Word Problems worksheets will produce word problems involving all basic operations. You may choose the format of the answers. These word problems worksheets will produce ten problems per worksheet. These word problems worksheets are a good resource for students in the 5th Grade through the 8th Grade.

Adding Two Fractions Word Problems
These fractions word problems worksheets will produce problems with the addition of two fractions. These word problems worksheets will produce ten problems per worksheet. These word problems worksheets are a good resource for students in the 5th Grade through the 8th Grade.

Adding Three Fractions Word Problems
These fractions word problems worksheets will produce problems with the addition of three fractions. These word problems worksheets will produce ten problems per worksheet. These word problems worksheets are a good resource for students in the 5th Grade through the 8th Grade.

Subtracting Fractions Word Problems
These fractions word problems worksheets will produce problems involving subtracting two fractions. These word problems worksheets will produce ten problems per worksheet. These word problems worksheets are a good resource for students in the 5th Grade through the 8th Grade.

Adding Two Mixed Numbers Word Problems
These fractions word problems worksheets will produce problems involving adding two mixed numbers. These word problems worksheets will produce ten problems per worksheet. These word problems worksheets are a good resource for students in the 5th Grade through the 8th Grade.

Subtracting Two Mixed Numbers Word Problems
These fractions word problems worksheets will produce problems involving subtracting two mixed numbers. These word problems worksheets will produce ten problems per worksheet. These word problems worksheets are a good resource for students in the 5th Grade through the 8th Grade.

Adding U.S. Coins Word Problems
This U.S. coins word problems worksheet will produce coin addition problems. These worksheets will produce ten problems per worksheet. These word problems worksheets are a good resource for students in the 5th Grade through the 8th Grade.

Advanced Adding U.S. Coins Word Problems
These Word Problems Worksheets will produce word problems that focus on adding up different denominations of US coin currency. You have the option to select any combination of pennies, nickels, dimes, quarters, and half dollars for each worksheet. These worksheets will produce ten problems per worksheet. These word problems worksheets are a good resource for students in the 5th Grade through the 8th Grade.

U.S. Money Adding Two Items Word Problems
These U.S. money word problems worksheest will produce purchase problems for adding two items. These worksheets will produce ten problems per worksheet. These word problems worksheets are a good resource for students in the 5th Grade through the 8th Grade.

U.S. Money Adding Three Items Word Problems
These U.S. money word problems worksheets will produce purchase problems for adding three items. These worksheets will produce ten problems per worksheet. These word problems worksheets are a good resource for students in the 5th Grade through the 8th Grade.

U.S. Money Change from a Purchase Word Problems
These U.S. money word problems worksheets will produce problems for calculating change from a purchase. These word problems worksheets will produce ten problems per worksheet. These word problems worksheets are a good resource for students in the 5th Grade through the 8th Grade.

Travel Time Word Problems Worksheets
These time word problems worksheets produce problems for finding the duration, start, and end times of trips. Users may select the units of time to use in the problems. These word problems worksheets will produce ten problems per worksheet. These word problems worksheets are appropriate for students in the 5th Grade through the 8th Grade.

Reading a Calendar Word Problems Worksheets
These calendar worksheets will produce word problems revolving around reading and understanding a monthly calendar. You may select the month and the year within a range of the years 1800 to 3999. These word problems worksheets will produce nine problems per worksheet. These word problems worksheets are appropriate for students in the 5th Grade through the 8th Grade.

Elapsed Dates Word Problems Worksheets
These time word problems worksheets will produce questions with elapsed days, weeks, months, and years, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Ratios and Rates Word Problems Worksheets
These ratio word problems worksheets will produce eight ratio and rates word problems for the students to solve. These ratio word problems worksheets are appropriate for 3rd Grade, 4th Grade, 5th Grade, 6th Grade, and 7th Grade.

Percentage Word Problems Worksheets
These Percentage Word Problems Worksheets will produce problems that focus on finding and working with percentages. You have the option to select the types of numbers, as well as the types of problem you want. These percentage word problems worksheets are appropriate for 3rd Grade, 4th Grade, 5th Grade, 6th Grade, and 7th Grade.

Mixed Word Problems with Key Phrases Worksheets
These Word Problems Worksheets will produce addition, multiplication, subtraction and division problems using clear key phrases to give the student a clue as to which type of operation to use. These word problems worksheets are appropriate for 4th Grade, 5th Grade, 6th Grade, and 7th Grade.

U.S. Money Change from a Purchase Multiplication Word Problems
These Word Problems Worksheets will produce problems that ask students to use multiplication to calculate the monetary value of a purchase and then find how much change is given from the purchase.

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This page encompasses a compilation of printable worksheets on one-step equation word problems that are custom-made for learners of grade 6, grade 7, and grade 8. One-step equation word problems with coefficients involving integers, fractions and decimals are incorporated here. Use the real-life word problems to assist students improve their analytical thinking. Procure some of these worksheets for free!