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Distributive Property and Simplification Quiz

Total questions: 20

Worksheet time: 19mins

Name
Class
Date
1.

What is the distributive property formula for a(b + c) ?

a)

ab + ac

b)

a + b + c

c)

ab - ac

d)

a(bc)

2.

Simplify the expression: 4(x + 5) .

a)

4x + 20

b)

4x + 5

c)

4x - 5

d)

4x - 20

3.

Simplify the expression: -2(-4x - 11) .

a)

8x + 22

b)

-8x - 22

c)

8x - 22

d)

-8x + 22

4.

Simplify the expression: 9(x + 1) .

a)

9x + 9

b)

9x - 9

c)

9x + 1

d)

9x - 1

5.

Simplify the expression: 2(-2 - 9n) .

a)

-4 - 18n

b)

4 - 18n

c)

-4 + 18n

d)

4 + 18n

6.

What is the simplified form of the expression 8(x + 3) using the distributive property?

a)

8x + 3

b)

8x + 24

c)

8x + 6

d)

8x + 9

7.

What is the simplified form of the expression 3(k - 7) using the distributive property?

a)

3k - 21

b)

3k + 21

c)

3k - 7

d)

3k + 7

8.

What is the simplified form of the expression -8(y + 9) using the distributive property?

a)

-8y + 72

b)

-8y - 72

c)

-8y + 9

d)

-8y - 9

9.

What is the simplified form of the expression -2(8c + 11) using the distributive property?

a)

-16c - 22

b)

-16c + 22

c)

-16c - 11

d)

-16c + 11

10.

What is the simplified form of the expression 7(5 - 2r) using the distributive property?

a)

35 - 14r

b)

35 + 14r

c)

35 - 2r

d)

35 + 2r

11.

What is the simplified form of the expression -2(5k + 1) using the distributive property?

a)

-10k - 2

b)

-10k + 2

c)

-10k - 1

d)

-10k + 1

12.

Mia is buying 7 packs of pencils, each containing 2 pencils (p) and one eraser. What is the simplified form of the expression representing the total number of pencils and erasers Mia will have?

Set up the problem with parentheses...... then distribute!

a)

14v + 7

b)

14v - 7

c)

14v + 1

d)

14v - 1

13.

What is the simplified form of the expression -6k + 14 - k + 5 by combining like terms?

a)

-7k + 19

b)

-5k + 19

c)

-7k + 9

d)

-5k + 9

14.
-4(k - 7)
a)
-4k + 28
b)
-4k - 28
c)
4k + 28
d)
4k - 28
15.
a)
6x-1
b)
10x+7
c)
6x+1
d)
8x+1
16.

Simplify by combining like terms:

5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

10ab + 4

17.

Simplify the expression

2k + 3b + 4k + 2b

a)

11kb

b)

6k + 5b

c)

5k + 6b

d)

None of the above

18.

Simplify the expression

a + a + g + k + a + b + g + h + b + g – h

a)

11agkbh

b)

3a + 3g + k + 2b + 2h

c)

3a + 3g + k + 2b – 2h

d)

None of the above

19.

Simplify the expression

8p + 2p – 3p + p – 7p

a)

p

b)

6p

c)

15p

d)

None of the above

20.

Simplify the expression

4b + 9 + 3b – 5b – 5 + b

a)

2b + 4

b)

2b – 4

c)

3b – 4

d)

3b + 4