# 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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