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Worksheets

Translating Algebraic Expressions

Total questions: 40

Worksheet time: 33mins

Name
Class
Date
1.

Translate: twelve less than a number

a)

12x12-x  

b)

x12x-12  

c)

12x12x  

d)

x+12x+12  

2.

Translate: the sum of eight and the product of a number and nine

a)

9x+89x+8  

b)

8x+98x+9  

c)

x9+8\frac{x}{9}+8  

d)

9x89x-8  

3.

Translate: the square of the sum of a number and sixteen

a)

x2+16x^2+16  

b)

(x+16)2\left(x+16\right)^2  

c)

(x16)2\left(x-16\right)^2  

d)

x216x^2-16  

4.

Translate: seven less than a number squared

a)

7x27-x^2  

b)

(x7)2\left(x-7\right)^2  

c)

x27x^2-7  

d)

x2+7x^2+7  

5.

Translate: the sum of eleven and the square root of a number

a)

x+11\sqrt[]{x+11}  

b)

x+11\sqrt[]{x}+11  

c)

x2+11x^2+11  

d)

(x+11)2\left(x+11\right)^2  

6.

Translate: five times the sum of a number and four

a)

5x+45x+4  

b)

5(x+4)5\left(x+4\right)  

c)

5(4x)5\left(4x\right)  

d)

4(x+5)4\left(x+5\right)  

7.

Translate: the product of three and four less than a number

a)

3(4x)3\left(4-x\right)  

b)

3(x4)3\left(x-4\right)  

c)

3x43x-4  

d)

43x4-3x  

8.

Translate: thirteen less than the product of negative six and a number

a)

136x13--6x  

b)

136x13-6x  

c)

6x136x-13  

d)

6x13-6x-13  

9.

Translate: the sum of the cube root of a number and five

a)

x+53\sqrt[3]{x+5}  

b)

x3+5\sqrt[3]{x}+5  

c)

(x+5)3\left(x+5\right)^3  

d)

x3+5x^3+5  

10.

Translate: the square of the difference of a number and twenty

a)

x220x^2-20  

b)

(x20)2\left(x-20\right)^2  

c)

(20x)2\left(20-x\right)^2  

d)

20x220-x^2  

11.

Choose the algebraic expression that represents

"One-fourth of a number"

a)

n4\frac{n}{4}  

b)

4n\frac{4}{n}  

c)

4n

d)

n + 4

12.

Choose the algebraic expression that represents

"Four dollars cheaper than two times price n"

a)

 4 - 2n

b)

 2 (n - 4)

c)

2n - 4

d)

2n + 4

13.

Choose the algebraic expression that represents

"The difference of a number and four"

a)

n + 4

b)

4 - n

c)

n - 4

d)

4n\frac{4}{n}  

14.

Choose the algebraic expression that represents

"The product of four and a number"

a)

4 + n

b)

4n

c)

4 - n

d)

4n\frac{4}{n}  

15.

Choose the algebraic expression that represents

"The quotient of four and a number"

a)

4 + n

b)

4n

c)

4 - n

d)

4n\frac{4}{n}  

16.

Choose the algebraic expression that represents

"Two times the difference of a number and four"

a)

2n - 4

b)

2 (n - 4)

c)

2 (4 - n)

d)

2(4n)2\left(\frac{4}{n}\right)

17.

Choose the algebraic expression that represents

"Four times a number"

a)

4n

b)

4n\frac{4}{n}  

c)

n4\frac{n}{4}  

d)

n×n×n×nn\times n\times n\times n  

18.

Choose the algebraic expression that represents

"Twice the sum of a number and four"

a)

2n + 4

b)

2 (n + 4)

c)

2 (4 - n)

d)

2 + 4n

19.

Choose the algebraic expression that represents

"Four less a number"

a)

4 - n

b)

n - 4 

c)

  4n\frac{4}{n}  

d)

4 < n 

20.

Choose the algebraic expression that represents

"Four more a number"

a)

4n

b)

n + 4 

c)

  4n\frac{4}{n}  

d)

4 > n 

21.

Decreased by means

a)

Addition

b)

Multiplication

c)

Subtraction

d)

Division

22.

Which symbol do we use to represent multiplication in Algebra?

a)

b)

x

c)

$

d)

!

23.

TWICE means two times.

a)

False

b)

True

24.

Which of the following represents "the square root of a number"?

a)

x3x^3  

b)

x\sqrt{x}  

c)

t2t^2  

d)

2n

25.

Two times a number can be written as? (Use x as your variable)

(a)  

26.

10x8\frac{10x}{8}  can be written as

a)

The quotient of eight and ten

b)

Ten times a number minus eight

c)

The quotient of 10 times a number and eight

d)

Eight minus ten times a number

27.

You have a job at the local market and your manager tells you she is going to increase your pay for doing a good job. What will happen to your salary?

a)

It will stay the same

b)

More will be added to it

c)

It will go down

d)

Nothing

28.

Translate the phrase into an algebraic expression. "The difference of three times a number and eight".

(a)  

29.

x less than 10 can be written as

a)

10 - x

b)

x - 10

c)

Both

d)

Neither

30.

Sum means to add.

a)

True

b)

False

31.

Translate the following expression: "Five times the sum of x and 6".

a)

(x+6) + 5

b)

5(x+6)

c)

5x + 6

d)

All of the above

32.

Which word(s) mean the same as multiplication? Select all that apply.

a)

Product

b)

Subtract

c)

Multiple

d)

Times

e)

Difference

33.
6 (x + 5)
a)
Six times X increased by five
b)
Six times the sum of a number and five
c)
The quotient of six and a number increased by five
d)
Five more a number times six
34.
Write a verbal expression for:
2a+6
a)
6 more than the product of 2 times a
b)
6 less than the product of 2 times a
c)
6 more than the quotient of 2 and a
d)
twice the sum of a and 6
35.

Six more than some number is 52

a)

x + 6 = 52

b)

6 + 52 = x

c)

6x = 52

d)

6x + 52 =

36.

The sum of a number tripled and two is 15

a)

3n + 15 = 2

b)

3 (n + 2) = 15

c)

3n + 2 = 15

d)

15( n + 2) = 3

37.
Translate the sentence into an equation:
Four more than six times a number is 18.
a)
4 + 6x = 18
b)
4x + 6 = 18
c)
6x + 4 = 18
d)
not enough info
38.
Translate the sentence into an equation.
Seven subtracted from n is 18 
a)
n + 7 = 18
b)
7 - n = 18
c)
n - 7 = 18
d)
n + 7 = 18n
39.

3y Choose two matching statements

a)

three times y

b)

three plus y

c)

the product of three and y

d)

three divided by y

40.

Fifteen is equal to the sum of a number and two tripled.

a)

3n + 15 = 2

b)

3 (n + 2) = 15

c)

3n + 2 = 15

d)

15( n + 2) = 3