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Worksheets

Distributive Property

Total questions: 30

Worksheet time: 2hrs 54mins

Name
Class
Date
1.
5(a + 6)
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
2.
2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
3.
3(2c - 5)
a)
6c - 15
b)
6c + 15
c)
6c + 15
d)
-6c - 15
4.

2(4x - 7)

a)

8x + -14

b)

8x-7

c)

6x+7

d)

8x+14

5.
2(4 + 9w) 
a)
8+9w
b)
2+9
c)
8+18w
d)
2+9w
6.

Simplify 5(2 - 7n)

a)

52 - 7n

b)

10 - 7n

c)

10 + -35n

d)

10 + 35n

7.

Distribute

9(x - 5)

a)

9x + -45

b)

9x + 5

c)

9x + 14

d)

9x + 45

8.

Distribute

10(x - 20)

a)

10x + 20

b)

10x + -200

c)

10x + 30

d)

10x - 20

9.
3(x + 5)
a)
2x + 2
b)
4x + 8
c)
3x + 15
d)
3x + 5
10.
7a(3b - 2c + 4)
a)
10ab + 5ac + 11a
b)
10ab + 5ac + 28a
c)
21ab + 14ac + 28a
d)
21ab - 14ac + 28a
11.
½(8x + 2)
a)
4x + 2
b)
4x + 1
c)
16x + 4
d)
16x - 4
12.
3(w + 4) = 3w + 12 is an example of...
a)
Inverse Property
b)
Distributive Property
c)
Multiplicative Inverse
d)
Associative Property
13.
Find an equivalent expression
x ( 3 + 4)
a)
3x + 4x
b)
7x
c)
3(x) + 4(x)
d)
all are equivalent expressions
14.

Choose an expression equal to: 6(-8y + 2)

a)

48y + 12

b)

-48y - 12

c)

-48y + 12

d)

-48y - 12

e)

None of these

15.

Choose an expression equal to: 7(-9y - 9)

a)

-63y - 63

b)

63y + 63

c)

-63y + 63

d)

63y - 63

e)

None of these

16.

Choose an expression equal to: -(3x - 11)

a)

-3x + 11

b)

-3x - 11

c)

3x + 11

d)

3x - 11

e)

None of these

17.

Choose an expression equal to: 7(2a - 3b - c)

a)

14a - 21b - 7c

b)

14a + 21b + 7c

c)

14a + 21b - 7c

d)

14a - 21b + 7c

e)

None of these

18.

Combine like terms:

-10b + b

a)

-11b

b)

-9b

c)

9b

d)

-10bb

19.

Combine Like Terms

5k + 7k

a)

12k

b)

57kk

c)

2k

20.

Combine Like Terms

-2n + 18 + 4

a)

-2n + 16

b)

-2n + 22

c)

20n

21.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
22.
5a + 2a + 2a 
a)
9a
b)
8a
c)
7a
23.
6x + 2x + 1 + 4
a)
8x + 5 
b)
2x - 3
c)
4x - 2
d)
8x + 12 
24.
Simplify  2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
25.
Simplify the expression: 3x + 2x
a)
5x
b)
x
c)
6x
d)
5
26.
-6k + 7k=
a)
k
b)
-k
c)
12k
d)
-12k
27.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
28.
Combine like terms
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
29.
-r -10r
a)
11r
b)
-11r
c)
9r
d)
-11
30.
Simplify the expression:
n -10 +9n -3
a)
-3
b)
9n-3
c)
n
d)
10n -13