SOLVING ONE STEP EQUATIONS WORD PROBLEMS

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

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.

WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations 

Word problems on linear equations 

Word problems on quadratic equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation 

Word problems on unit price

Word problems on unit rate 

Word problems on comparing rates

Converting customary units word problems 

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles 

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems 

Profit and loss word problems 

Markup and markdown word problems 

Decimal word problems

Word problems on fractions

Word problems on mixed fractions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and Venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed 

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS 

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6