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Worksheets

Equivalent Expressions and Properties

Total questions: 16

Worksheet time: 32mins

Name
Class
Date
1.
Which of the following is an example of Commutative Property? 
a)
x + -x = 0
b)
5x + 0 = 5x
c)
3 + x = x + 3
d)
5(2x - 4) = 10x - 20
2.
Which of the following is an example of the Associative Property? 
a)
(y + 2) + 4 = y + (2 + 4)
b)
4 x 1/4 = 1
c)
12a ⋅1 = 12a
d)
abc = cba
3.
Which of the following is an example of the Distributive Property? 
a)
5p x 0 = 0
b)
(n + m) + p = n + (m + p)
c)
4(2a + 7) = 8a + 28
d)
6 + -6 = 0
4.
Which of the following is an example of Multiplicative Identity Property? 
a)
5m + 0 = 5m
b)
5m x 1 = 5m 
c)
5(m + 1) = 5m + 5
d)
5 + -5 = 0
5.
Which property says that adding the opposite equals zero? 
a)
Inverse 
b)
Identity
c)
Associative
d)
Distributive
6.
8( 6x - 4)
a)
16x
b)
48x - 4
c)
14x - 12
d)
48x - 32
7.
Which is equivalent to 8 ( 16 + 12)
a)
(8 x 16) + 12
b)
(8 x 16 ) + (8 x 12)
c)
(8 x 16) - (8 x 12)
d)
(8 x 16) - 12
8.
Which expression is an example of the identity property of addition?
a)
3 + 0 = 3
b)
3 + 1 = 4 and 1 + 3 = 4
c)
3 + 4 + 2 = 9 and 4 + 2 + 3 = 9
d)
3 + 0 = 0
9.

Which expression is equal to this expression?

3 + 4 + 8

a)

3 + 8 + 4

b)

8 + 4 + 3

c)

4 + 8 + 3

d)

All Are Equivalent

10.

Which expression is NOT equivalent to:

3 x 5 x 8

a)

8 x 3 x 5

b)

5 x 3 x 8

c)

3 x 5 x 3

d)

3 x 8 x 5

11.

Which expression is equivalent to this expression?

(2 x 3) x 8 x 12

a)

2 x (3 x 8) x 12

b)

2 x 3 x (8 x 12)

c)

2 x (3 x 8 x 12)

d)

All of the following are equivalent

12.

Are the following expressions equivalent?

3(4+2)

3 x 4 + 2

a)

YES

b)

NO

13.

Which is equivalent to 6 - 7k

a)

(6 x 0) - (7k x 0)

b)

(6 - 7k) x 1

c)

(6 - 7k) + 1

d)

(6 -7k) x 0

14.

Which expression is equivalent to 2k + 3

a)

3k - 2

b)

3 + 2k

c)

3k + 2

d)

3 - 2k

15.

Which expression is equal to 4k - (-5)

a)

-5 + 4k

b)

5 - 4k

c)

5 + 4k

d)

5k + 4

16.

Which of the following expressions is equivalent to

5(y+2) + 4

a)

5 + y + 5 + 2 + 4

b)

5 x Y x 5 x 2 + 4

c)

5 x Y x 4 + 5 x 2 x 4

d)

5 x Y + 5 x 2 + 4