WRITING DIVISION EXPRESSIONS WORKSHEET

Write division expression for each of the following verbal phrase :

1. One fourth of three times a number.

2. One fifth of sum of three times a number and nine.

3. One seventh of three less than four times a number.

4. One fourth of three times the difference between a number and six.

5. Sum of five times of a number and three is divided by four.

6. Nine less than seven times of a number is divided by five.

7. Jacob get x dollars salary and $500 incentive. He divides the total money to three of his friends evenly. Find the share of each friend.

8. This year, David gets 3 times of profit in the last year plus $2500 in his business. He divides the total profit of this year to his five children evenly. Find the share of each child.

9. Seventeen more than half a number h is 100.

10. The quotient of a number w and 8 is 24.

11. One half an amount, x added to $45 is $342.

12. One hundred seeds divided by 4 rows equals n number of seeds per row.

13. A number b disible by 29 is 3.

1. Answer :

One fourth of three times a number

Let x be the number.

Three times the number :

3x

One fourth of three times a number :

= (1/4) ⋅ 3x

= (1/4) ⋅ (3x/1)

3x/4

2. Answer :

One fifth of sum of three times a number and 9

Let x be the number.

Three times the number :

= 3x

Sum of three times the number and 9 :

= 3x + 9

One fifth of sum of three times the number and 9 :

= (1/5) ⋅ (3x + 9)

= (1/5) ⋅ (3x + 9) / 1

= (3x + 9)/5

3. Answer :

One seventh of 3 less than four times a number

Let x be the number.

Four times the number :

= 4x

3 less than four times the number :

= 4x - 3

One seventh of 3 less than four times the number :

= (1/7) of (4x - 3)

= (1/7) ⋅ (4x - 3)

= (4x - 3) / 7

4. Answer :

One fourth of three times the difference between a number and 6

Let x be the number.

Difference between the number and 6 :

= x - 6

Three times the difference between the number and 6 :

= 3(x - 6)

One fourth of three times the difference between the number and 6 :

= (1/4) of 3(x - 6)

= (1/4) ⋅ (3x - 18)

= (3x - 18)/4

5. Answer :

Sum of five times a number and 3 is divided by 4

Let x be the number.

Five times the number :

= 5x

Sum of five times the number is divided by 4

= 5x/4

6. Answer :

9 less than seven times a number is divided by 5

Let x be the number.

Seven times the number :

= 7x

9 less than seven times the number

= 7x - 9

9 less than seven times the number is divided by 5 :

= (7x - 9) / 5

7. Answer :

Jacob get x dollars salary and $500 incentive. He divides the total money to three of his friends evenly. Find the share of each friend.

Answer :

Total money received by Jacob :

= x + 500

He divides the total money to three of his friends evenly. 

Then, the share of each person is

= (x + 500) / 3

8. Answer :

This year, David gets three times the profit of last year plus $2500 in his business. He divides the total profit of this year to his five children evenly. Find the share of each child. 

Answer :

Let x be the profit in the last year.

Total profit of this year :

= 3x + 2500

He divides the total profit to his 5 children evenly.

= (3x + 2500)/5

Then, the share of each child is (3x + 2500)/5.

9. Answer :

Seventeen more than half a number h is 100.

Half a number h = h/2

Seventeen more = h/2 + 17

(h/2) + 17 = 100

(h/2) = 100 - 17

(h/2) = 83

Multiplying by 2, we get

h = 83 (2)

= 166

So, the required number is 166.

10. Answer :

The quotient of a number w and 8 is 24.

w/8 = 24

To find the required number, we have to multiply by 8 on both sides.

w = 24(8)

w = 192

11. Answer :

One half an amount, x added to $45 is $342.

1/2 of (x + 45) = 342

(1/2) ⋅ (x + 45) = 342

(x + 45)/2 = 342

To solve for x, we have to the further simplification.

x + 45 = 342(2)

x + 45 = 684

x = 684 - 45

x = 639

12. Answer :

One hundred seeds divided by 4 rows equals n number of seeds per row.

100/n = 4

Multiplying by n, we get

100 = 4n

Dividing by 4, we get

n = 100/4

n = 25

So, each row will have 25 seeds.

13. Answer :

A number b disible by 29 is 3.

b/29 = 3

Multiplying by 29, we get

b = 3(29)

b = 87

So, the required number is 87.

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