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Worksheets

Like Terms with Distributive Property

Total questions: 25

Worksheet time: 50mins

Name
Class
Date
1.

Simplify

3(3x + 1)

a)

9x + 3

b)

3x + 3

c)

12x

d)

9x + 1

2.

Which of these are like terms in the following expression:

3x + 7 - 9x + 24y + 2xy

a)

7, 24y

b)

3x, 9x

c)

3x, -9x

d)

3x, -9x, 2xy

3.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
4.
Simplify the following expression:
-6x + 4(-x - 3)
a)
-2x - 12
b)
10x + 12
c)
-10x - 12
d)
-2x + 12
5.

Simplify

-8(2x - 3)

a)

-16x + 24

b)

-16x - 24

c)

16x + 24

d)

16x + 18

6.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
7.

Which of the following is equivalent to

-8 + 9(5 + 2x)?

a)

-5 - 2x

b)

18x + 37

c)

-37 + 18x

d)

18x - 53

8.

Simplify the following expression:

-8(5b + 2) - 7(b - 5)

a)

-33b + 19

b)

-47b2 + 21

c)

33b - 19

d)

-47b - 19

9.

Simplify

12(4x + 5) + 10x

a)

58x + 20

b)

58x + 60

c)

38x + 20

d)

10x + 20

10.
The number before a variable is the _____.
a)
term
b)
constant
c)
coefficient
d)
variable
11.

Simplify:

8a - 2(7a - 3)

a)

8a - 14a - 6

b)

-6a + 6

c)

-6a - 6

d)

-6a - 3

12.

What do you call each part of an expression that is separated by an addition or subtraction sign?

a)

coefficient

b)

constant

c)

variable

d)

term

13.
Simplify.
-2(x + 4) - 3(a - 6)
a)
-2x - 3a - 26
b)
-2x - 3a + 10
c)
-2x + 3a - 26
d)
-2x + 3a + 10
14.
Simplify the following expression:
-6x + 4(-x - 3)
a)
-2x - 12
b)
10x + 12
c)
-10x - 12
d)
-2x + 12
15.

Simplify

-8(2x - 3)

a)

-16x+24

b)

-16x - 24

c)

16x + 24

d)

16x +18

16.

Simplify

12(4x + 5) + 10x

a)

58x + 20

b)

58x + 60

c)

38x + 20

d)

10x + 20

17.
A letter that represents a number is called a _____.
a)
variable
b)
coefficient
c)
constant
d)
term
18.
A number with no variable attached is called a  _____.
a)
coefficient
b)
constant
c)
variable
d)
term
19.

Simplify

9 (x + 8)

a)

9x + 8

b)

81x

c)

72x

d)

9x + 72

20.

Simplify

4(-x - 6)

a)

4x - 24

b)

4x + 24

c)

-4x + 24

d)

-4x - 24

21.

Simplify

-3(2x - 5)

a)

-6x - 15

b)

-6x + 15

c)

6x + 15

d)

6x - 15

22.

Simplify

-(-4 - 2b)

a)

4 - 2b

b)

-4 - 2b

c)

4 + 2b

d)

-4 + 2b

23.

Simplify

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

24.

Simplify

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

25.

Simplify

-(8 - m)

a)

m - 8

b)

-8 - m

c)

8 - m

d)

m + 8