ONE STEP EQUATIONS MULTIPLICATION AND DIVISION WORKSHEET

Problem 1 :

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

Problem 2 :

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

Problem 3 :

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 ?

Problem 4 :

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 ? 

Problem 5 :

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 ?  

Problem 6 :

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 ? 

Problem 7 :

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 ? 

Problem 8 :

Between the hours of 10 P.M. and 6 A.M., the temperature decreases an average of of a degree per hour. How long, in hours and minutes, will it take for the temperature to decrease by 5 °F ?

Detailed Answer Key

Problem 1 :

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

Solution : 

Let x be the number. 

Then, 

4x  =  124

Divide each side by 4.  

x  =  31

So, the number is 31.

Problem 2 :

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

Solution : 

Let m be the number. 

Then, 

m/7  =  14

Multiply each side by 7. 

m  =  98

So, the number is 98.

Problem 3 :

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

Divide each side by 2.

x  =  113

So, the borrowed money is $113. 

Problem 4 :

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

Multiply each side by 4.  

m  =  128

So, David had $128 initially.

Problem 5 :

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 x be the money that Rosy invested.  

Then, 

4x  =  3280

Divide each side by 4.   

x  =  820

So, Rosy invested $820.

Problem 6 :

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

Divide each side by 5.  

p  =  7

So, Jacob has 5 candies.

Problem 7 :

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

Multiply each side by 3.  

m  =  24

So, Daniel had 24 hot dogs initially.

Problem 8 :

Between the hours of 10 P.M. and 6 A.M., the temperature decreases an average of of a degree per hour. How long, in hours and minutes, will it take for the temperature to decrease by 5 °F ?

Solution : 

Let x represent the number of hours it takes for the temperature to decrease by 5 °F.

Write an equation

(-3/4)x  =  -5

3x/4  =  -5

Solve the equation using an inverse operation.

Multiply each side by - 4/3.

x  =  20/3

x  =  6 2/3

It takes 6 2/3 hours. 

Convert 2/3 hours to minutes.

2/3 hours  =  (2/3) ⋅ 60 minutes

2/3 hours  =  40 minutes

So, it takes 6 hours and 40 minutes for the temperature to decrease by 5 °F.

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