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Distributive Property and Combining Like Terms

Total questions: 20

Worksheet time: 17mins

Name
Class
Date
1.

Simplify by combining like terms:

5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

10ab + 4

2.

Combine like terms: n -10 + 9n - 3

a)

9n - 7

b)

10n - 7

c)

9n - 13

d)

10n -13

3.

Which of the terms could be combined in the following expression:

3x + 7 - 9x + 24y + 2x2

a)

7, 24y

b)

3x, 9x

c)

3x, -9x

d)

3x, -9x, 2x2

4.

Use the Distributive Property to simplify: 3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

-6c + 15

d)

-6c - 15

5.

Use the distributive property to simplify: -4(3k - 7)

a)

-12k + 7

b)

-12k - 7

c)

-12k + 28

d)

-12k - 28

6.

Which of the following is equivalent to 8(5f - 7) + 3f ?

a)

43f - 7

b)

37f - 56

c)

43f - 56

d)

40f - 56 + 3f

7.

Which of the following shows JUST a variable?

a)

g + 7

b)

g + 7 = 10

c)

g

d)

7g

8.

Which of these contains a constant?

a)

56t

b)

4r - s

c)

12e + 7

9.

Which term contains a coefficient?

m + 3 + p4 + 3n

a)

m

b)

3

c)

p4

d)

3n

10.

Combine like terms: 6x - 6y + 14

a)

6x - 6y + 14

b)

14

c)

xy + 14

d)

0

11.

Simplify the following expression:

2x + 7(x - 5) - 4

a)

9x + 20

b)

9x + 31

c)

9x - 31

d)

9x - 39

12.

Simplify.

½(4x - 10)

a)

8x - 5

b)

2x + 5

c)

2x - 5

d)

8x - 20

13.

Simplify:

-10x + 15 - 3x + 2

a)

4x

b)

-13x2 + 13

c)

-13x + 17

d)

-7x + 17

14.
Simplify:
-3(x - 4) + 3(a - 6)
a)
-3x + 3a - 6
b)
-3x + 3a - 30
c)
-9ab - 6
d)
-9ab - 30
15.

Simplify:
 −n−5(−6−7n)-n-5\left(-6-7n\right)  

a)

34n + 30

b)

35n - 30

c)

35n + 30

d)

-6n - 30

16.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
17.

 −r−10r-r-10r  

Simplify the expression above: 

a)

11r

b)

-11r

c)

9r

d)

-11

18.
Combine like terms
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
19.

 −v+12v-v+12v  

Simplify the expression above:

a)

11v

b)

-9v

c)

0

d)

11

20.

Simplify: y + x + y + y + x

a)

2 + 3

b)

x + y

c)

2x + 3y

d)

5xy