Free Printable Distributive Test

1.

Factor 3x+27

a)

3(x+3)

b)

9(3x+9)

c)

3(x-3)

d)

3(x+9)

2.

Factor 6x+20

a)

2(x+10)

b)

6(x+14)

c)

2(x-5)

d)

2(3x+10)

3.

Use Distributive Property:

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

4.

Use Distributive Property:

2(c + 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

5.

Use Distributive Property:

4(p + 6)

a)

-4p - 24

b)

4p + 6

c)

4p + 24

d)

4p - 24

6.

Factor 6x + 12

a)

3(2x + 12)

b)

6(x+2)

c)

6x(x+2)

d)

1/2 (3x + 24)

7.

Use Distributive Property:

3(2c + 5)

a)

6c + 15

b)

6c - 15

8.

Use Distributive Property:

9(x+3)

a)

9x+27

b)

9x+3

c)

36x

d)

9x-27

9.

Simplify the expression:

8(5 + w)

a)

40 + w

b)

40+8w

c)

85 + 8w

d)

13+8w

10.

Simplify the expression
11(9 + d)

a)

99 + d

b)

20 + 9d

c)

20 + d

d)

99+11d

11.

Which of the following is equivalent to 5(2x + 6)?

a)

10x + 30

b)

10x + 6

c)

40x

d)

2x + 30

12.

Fill in the blank:
2(x + 7) = 2x + __

a)

7

b)

14

c)

7x

d)

14x

13.

Fill in the blank:
4(3x + __) = 12x + 16

a)

4

b)

16

c)

4x

d)

12

14.

There are r rows of chairs with 7 chairs in each row. Choose the expression that shows the number of chairs in total.

a)

7r

b)

7/r

c)

r-7

d)

r+7

15.

Kenneth has g gumballs. Maggie has 29 fewer gumballs than Kenneth. Choose the expression that shows how many gumballs Maggie has.

a)

g+29

b)

g-29

c)

29g

d)

g ÷ 29

16.

A cell phone company charges $40 per month plus a $35 activation fee. What is the expression for the total cost for m months?

a)

40 - 35m

b)

40m - 35

c)

40m + 35

d)

40 + 35

17.

Mitch has 35 more bouncy balls than Rudy. Rudy has b bouncy balls. Choose the expression that shows how many bouncy balls Mitch has.

a)

35 - b

b)

b

c)

35

d)

b + 35

18.

Which expression matches: the product of nine and a number

a)

9 + x

b)

9x

c)

9 ÷ x

d)

9 - x

19.

Which expression matches: twice a number, decreased by four.

a)

2x - 4

b)

x - 4

c)

(x ÷ 2) – 4

d)

2x + 4

20.

Choose the word phrase(s) that represent the following algebraic expression: (There may be more than one!)

9n+1

a)

the quotient of 9 and a number plus 1

b)

the product of 9 and a number plus 1

c)

1 more than the quotient of 9 and a number

d)

1 more than the product of 9 and a number

21.

A pizza delivery driver earns $8 an hour and works h hours per day. On Thursday, he also received $50 in tips. How much did the driver earn on Thursday for working h hours?

a)

8h - 50

b)

8h + 50

c)

8 + 50

d)

8 - 50h

22.

Which expression is equivalent to $8c\ +\ 6\ -\ 3c\ -\ 2?$

a)

$5c+4$

b)

$5c+8$

c)

$11c+4$

d)

$11c+8$

23.

A number by itself with no variable attached is called a _____.

a)

coefficient

b)

constant

c)

variable

d)

term

24.

Which expression is equivalent to:
d + d + d + 3 + 2

a)

3d + 5

b)

d + 5

c)

2d + 7

d)

3d + 4

25.

What do the parentheses tell you to do?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

26.

What does it mean to distribute?

a)

To multiply the numbers inside the parentheses by the number on the outside.

b)

To add all of the numbers together.

c)

To do the order of operations.

27.

Factoring is the opposite of distributing.

a)

True

b)

False

28.

Simplify by combining like terms.
m + 9 - 4m

a)

5m

b)

m + 5m

c)

-3m + 9

d)

4m

29.

Simplify: 4q + 4t + 3q + t

a)

12tq

b)

3q + 4t

c)

7q + 5t

d)

Can't be simplified

30.

Answer to a MULTIPLICATION problem?

a)

Sum

b)

Difference

c)

Product

d)

Quotient

31.

Answer to a DIVISION problem?

a)

Sum

b)

Difference

c)

Product

d)

Quotient

32.

Answer to a SUBTRACTION problem?

a)

Sum

b)

Difference

c)

Product

d)

Quotient

33.

Answer to an ADDITION problem?

a)

Sum

b)

Difference

c)

Product

d)

Quotient

34.

LETTERS that represent unknown numbers

a)

coefficients

b)

constants

c)

variables

d)

factors

35.

A number WITHOUT a variable?

a)

Constant

b)

Coefficient

c)

Variable

d)

Factors

36.

A number WITH a variable?

a)

Constant

b)

Coefficient

c)

Variable

d)

Factor

37.

$3x\ +\ 6\ =\ 9x$

What part of the equation is a constant?

a)

3

b)

6

c)

9

d)

x

38.

$5x\ +\ 4\ =\ 24$

The x in the equation is called a?

a)

constant

b)

coefficient

c)

variable

d)

term

39.

A(n) __________________ consists of one or more numbers, variables, and operations.

a)

numeric expression

b)

term

c)

variable

d)

algebraic expression

40.

A ______________ is a number multiplied by a variable.

a)

term

b)

variable

c)

coefficient

d)

numerical expression

Distributive Test

Total questions: 40

Worksheet time: 3hrs 20mins

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