ONE STEP EQUATIONS MULTIPLICATION AND DIVISION WORKSHEET

About "One step equations multiplication and division worksheet"

One step equations multiplication and division worksheet :

Worksheet on one step equations multiplication and division is much useful to the students who are at the initial stage of learning Algebra in Math. 

One step equations multiplication and division worksheet - Problems

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

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

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 ?

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 ? 

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 ?  

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 ? 

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 ? 

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 ?

One step equations multiplication and division worksheet - Solution

Problem 1 :

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

Solution : 

Let "x' be the required number. 

According to the question, we have

4x  =  124

Here "x" is multiplied by "4". To get rid of 4, we have to divide by 4 on both sides and solve the equation as explained below.  

4x / 4  =  124 / 4

x  =  31

Hence, the required number is "31".

Problem 2 :

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

Solution : 

Let "m' be the required number. 

According to the question, we have

m / 7  =  14

Here "m" is divided by "7". To get rid of 7, we have to multiply by 7 on both sides and solve the equation as explained below.  

(m/7) x 7  =  14 x 7

m  =  98

Hence, the required 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. 

According to the question, we have

2x   =  226

Here "x" is multiplied by 2. To get rid of 2, we have to divide by 2 on both sides and solve the equation as explained below.  

2x / 2  =  226 / 2

x  =  113

Hence, 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.  

According to the question, we have

m / 4  =  32

Here "m" is divided by "4". To get rid of 4, we have to multiply by 4 on both sides and solve the equation as explained below.  

m/4 x 4  =  32 x 4

m  =  128

Hence, 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 "m' be the money that Rosy invested.  

According to the question, we have

4m  =  3280

Here "m" is multiplied by "4". To get rid of 4, we have to divide by 4 on both sides and solve the equation as explained below.  

4m / 4   =  3280 / 4

m  =  820

Hence, 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. 

According to the question, we have

5p  =  35

Here "p" is multiplied by "5". To get rid of 5, we have to divide by 5 on both sides and solve the equation as explained below.  

5p / 5   =  35 / 5

p  =  7

Hence, 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. 

According to the question, we have

m / 3  =  8

Here "m" is divided by "3". To get rid of 3, we have to multiply by 3 on both sides and solve the equation as explained below.  

m/3 x 3  =  8 x 3

m  =  24

Hence, 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 : 

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

(-3/4)x  =  -5 ----> -3x/4  =  -5

Solve the equation using an inverse operation.

Multiply both sides by - 4/3.

(-4/3).(-3x/4)  =  -5.(-4/3)

x  =  20/3  =  6 2/3

It takes 6 2/3 hours. 

Convert the fraction of an hour to minutes.

2/3 hours x 60 min / 1 hr  =  40 minutes

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

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