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# Translating Expressions and Equations

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1. The sum of twice a number and three

2. Twice the sum of a number and three

3. The difference of 37 and 4 times a number

4.The total of five times a number and ten is three

5. Twenty-one s the quotient of three times a number and seven

6. There were roses in the vase. Joan cut some more roses from her flower garden. There are now 14 roses in the vase. How many roses did she cut?

7. Keith bought a soft drink for 3 dollars and 7 candy bars. He spent a total of 31 dollars. How much did each candy bar cost?

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## SOLUTION This solution is FREE courtesy of BrainMass!

1.
Solution:

Let the number be x

The expression will be

2x+3

2.
Solution:

Let the number be x

The expression will be

2(x+3)

3.
Solution:

Let the number be x

The expression will be

37-4x

4.
Solution:

Let the number be x

The equation will be

5x+10 = 3

Answer: 5x+10 = 3

5.
Solution:

Let the number be x

The equation will be

(3x)/7 = 21

Answer: (3x)/7 = 21

6.
Solution:

Let the number of roses she cut be x

The equation will be

8 + x = 14

subtract 8 from each side

8+x - 8 = 14-8
x = 6

Joan cut 6 roses.

7.
Solution:

Let the cost of candy bar be x

The equation will be

3 + 7x = 31

Subtract 3 from each side

3 + 7x -3 = 31-3
7x = 28

Divide by 7, we will get

x = 28/7 = 4

Cost of each candy bar is \$4.

8.
Solution:

Let the number be x

The equation will be

(4x)*12 = 5

Answer: (4x)*12 = 5

9.
Solution:

Let the number be x

The equation will be

2x-5 = 57

Answer: 2x-5 = 57

10.
Solution:

Three people shared the bill. Let the total bill be x

The equation will be

x/3 = 26

Multiply by 3, we will get

x = 3*26 = \$78

Total bill was \$78.

11.
Solution:

Let the price of each book be x

The equation will be

128-9x = 11

Subtract 128 from each side

128-9x-128 = 11-128
-9x = -117

Divide by -9
x = -117/-9 = 13

Price of each book is \$13.

12.
Solution:

Let the number of packs be x

The equation will be

11x = 88

Divide by 11

x = 88/11 = 8

Number of packs is 8.