Free Printable Translating Equations

1.

Seven more than twice a number n is 1.

(Don't put any spaces in your answer.)

(a)

2.

Translate the following:

Three times the difference of a number and nine is seventy-two.

**Use x as your variable and no spaces.**

(a)

3.

One quarter the difference of a number and twenty eight is equal to nine.

a)

$\frac{1}{4}x-28=9$

b)

$\frac{1}{4}(x-28)=9$

c)

0.25x - 28 = 9

d)

$\frac{1}{4}(x+28)=9$

e)

x - 7 = 9

4.

Translate the following:

Negative 15 is b less than seventy-six

a)

-15 = b - 76

b)

b - (-15) = 76

c)

-15 = 76 - b

d)

-15 - b = 76

5.

Fifteen less than half a number is equivalent to eleven.

a)

(1/2)x + 15 = 11

b)

2x - 15 = 11

c)

15 - (1/2)x = 11

d)

(1/2)x - 15 = 11

6.

Five less than a number cubed is equivalent to thirty.

a)

$3x-5=30$

b)

$x^3-5=30$

c)

$5-x^3=30$

d)

5 - 3x = 30

7.

Half the difference of five time a number and eight is equivalent to nineteen.

a)

5x + 8 = 19

b)

5x - 8 = 19

c)

$\frac{1}{2}(5x-8)=19$

d)

$\frac{1}{2}(5x+8)=19$

e)

5x - 8 = 9.5

8.

What is the difference between an expression and equation?

a)

Expressions have an equal sign and equations do not have an equal sign

b)

Expressions do not have an equal sign and equations do have an equal sign

c)

There is not a difference

d)

Expressions do not have variables and equations have variables

9.

A number tripled subtracted from 60 is the same as 21.

a)

3c − 60 = 21

b)

60 − 3 = 21c

c)

60 − 3c = 21

d)

c(60 − 3) = 21

10.

Eight less than three times a number is equivalent to ten more than one and half times the same number.

a)

3x - 8 = 0.5x + 10

b)

8 - 3x = 1.5x + 10

c)

3x - 8 = 1.5x + 10

d)

8 - 3x = 0.5x + 10

11.

Seven times the sum of four more than twice a number is equal to three less than the product of eight and that same number.

a)

7(2n + 4) = 8n - 3

b)

7(2n + 4) = 3 - 8n

c)

7(2n) + 4 = 3 - 8n

d)

7(4) + 2n = 8n - 3

12.

Five times the sum of a number tripled and two is equal to nine more than the same number.

a)

5(3x + 2) = 9x

b)

5(3x + 2) = x + 9

c)

5(3x) + 2 = 9 - x

d)

5(2) + 3x = 9

13.

The product of eight and a number increased by five is equal to the product of nine and the same number decreased by 10

a)

8c - 5 = 9c + 10

b)

5c + 8 = 9c - 10

c)

8 + 5c = 10 - 9c

d)

8c + 5 = 9c - 10

14.

Match the clue word with the operation:
SUM

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

15.

Match the clue word with the operation:
PRODUCT

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

16.

Match the clue word with the operation:
DIFFERENCE

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

17.

Match the clue word with the operation:
QUOTIENT

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

18.

Translate: Six fewer than twice a number is four.

a)

6 - 2x = 4

b)

2x - 6 = 4

c)

x² - 6 = 4

d)

6 - x² = 4

19.

Translate the equation:

A number squared is 64

a)

$n^2\ =\ 64$

b)

2n = 64

c)

n/2 = 64

d)

$2^n\ =\ 64$

e)

8

20.

The difference of x and 8, divided by 5

a)

x – 8 ÷ 5

b)

x/8 ÷ 5

c)

x/8/5

d)

(x – 8)/5

Translating Equations

Total questions: 20

Worksheet time: 15mins

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