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Worksheets

Distributive Property

Total questions: 42

Worksheet time: 2hrs 6mins

Name
Class
Date
1.
4(-x - 6)
a)
4x - 24
b)
4x + 24
c)
-4x + 24
d)
-4x - 24
2.
Simplify the following expression:
-10x + 15 - 3x + 2
a)
13x2 + 17
b)
-13x2 + 13
c)
-13x + 17
d)
-7x + 17
3.
Simplify:
3(9 + 2d) + 4d 
a)
18d+10d
b)
18d-10d
c)
27+10d
d)
37d
4.

x terms and y terms can be added or subtracted together.

a)

True

b)

False

5.
Simplify:
4(8x + 1) - 6(1 - 8x)
a)
-80x - 2
b)
80x + 2
c)
-80x + 2
d)
80x - 2
6.

Which of the following shows JUST a variable?

a)

g + 7

b)

g + 7 = 10

c)

g

d)

7g

7.

Which of these contains a constant?

a)

56t

b)

4r - s

c)

12e + 7

8.

How many terms are in the expression

3 + 2b + c + 100 + 6b

a)

3

b)

4

c)

5

9.

Combine like terms: 6x - 6y + 14

a)

6x - 6y + 14

b)

14

c)

xy + 14

d)

0

10.

Simplify the following expression:

2x + 7(x - 5) - 4

a)

9x + 20

b)

9x + 31

c)

9x - 31

d)

9x - 39

11.
11y + 3(2y - 4)
a)
5y
b)
17y - 4
c)
17y - 12
d)
5y + 12
12.
-6(3x - 9y - 10)
a)
-18x + 54y - 60
b)
-18x - 54y - 60
c)
-18x + 54y + 60
d)
-96xy
13.
16w - 7 - 5w - 11 + 4(w - 5)
a)
15w - 38
b)
15w + 24
c)
17w - 2
d)
17w + 2
14.
y + x + y + y + x 
a)
2 + 3 
b)
x + y 
c)
2x + 3y 
d)
5xy 
15.
What are coefficients?
a)
The letters in an expression
b)
The numbers without a letter
c)
The same as constants
d)
The number before a letter 
16.
2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
17.
3(2c - 5)
a)
6c - 15
b)
6c + 15
c)
6c + 15
d)
-6c - 15
18.
3(4+3r)
a)
12+9r
b)
7+6r
c)
12+5r
19.
Fill in the blank:
2(x + 7) = 2x + __
a)
7
b)
14
c)
7x
d)
14x
20.
Fill in the blank:
4(3x + __) = 12x + 16
a)
4
b)
16
c)
4x
d)
12
21.
e(f + g) is equivalent to:
a)
ef + g
b)
f + g
c)
f + eg
d)
ef + eg
22.
7a(3b - 2c + 4)
a)
10ab + 5ac + 11a
b)
10ab + 5ac + 28a
c)
21ab + 14ac + 28a
d)
21ab - 14ac + 28a
23.
-7(w - 4) + 3w - 27
a)
4w + 15
b)
-4w + 1
24.
6(x + 1) - 5(x + 2)
a)
2x + 8
b)
x - 4
25.
8(x + 5) - 4(x + 4)
a)
4x + 24
b)
4x + 16
26.

0.5(8x+7)0.5\left(8x+7\right)  

a)

4x + 3.5

b)

8.5x + 7.5

c)

16x + 14

d)

8.5x + 7

27.

Match the following:

a)

-1(4x + 5)

1.

-4x - 5

b)

-1(4x - 5)

2.

-4x + 5

c)

-1(-4x - 5)

3.

4x + 5

28.

Distribute and then Combine Like Terms:

6(x + 10) + 12

a)

10x + 18

b)

6x + 22

c)

6x + 72

d)

16x + 12

e)

16x + 72

29.

Distribute and then Combine Like Terms:

2(4x + 7) + 3x

a)

8x + 14

b)

8x + 7

c)

11x + 7

d)

11x + 14

e)

7x + 14

30.

Work backwards to find the missing term using the distributive property.

10y − 45 = 5( __ − 9 )

a)

5y

b)

2

c)

2y

d)

y

31.

Work backwards to find the missing term using the distributive property.

10 + 20x = 2(5 + __)

a)

5

b)

10

c)

5x

d)

10x

32.
Distribute: (b + 8)5
a)
b + 40
b)
5b - 40
c)
5b + 40
d)
5b + 8
33.

Distribute 4(x + y - 3)

a)

4x + 4y - 3

b)

4x + 4y - 12

c)

4x + y - 12

d)

4x + y - 3

34.

Distribute and simplify

a)

-9x + 64

b)

9x + 64

c)

31x + 64

d)

-9x + 8

35.

Distribute and simplify

a)

13x - 8

b)

13x + 8

c)

19x + 26

d)

13x + 26

36.

Distribute and simplify

a)

2x + 19

b)

3x + 19

c)

3x - 11

d)

15x - 11

37.

Distribute and simplify

a)

25x + 1

b)

-25x + 1

c)

-23 x - 1

d)

-23x + 1

38.

Distribute and simplify

a)

x - 14

b)

x + 126

c)

31x - 14

d)

31x + 126

39.

Distribute and simplify

a)

15x + 135

b)

15x + 9

c)

39x + 9

d)

39x + 135

40.

Distribute and simplify

a)

-7x - 23

b)

27x + 23

c)

-7x + 23

d)

27x - 23

41.

-3(2x + 6) - 5x + 2

a)

-11x - 16

b)

1x + 16

c)

-11x - 20

d)

-11x - 18

42.

3(5x - 4) - 2(3x + 4)

a)

9x - 20

b)

9x - 4

c)

9x + 4

d)

9x + 20