Free Printable Properties and Equivalent Expressions

1.

Which of the following is equivalent to 4x + 28

a)

4(x + 7)

b)

4(x + 28)

c)

4x + 7

d)

4(x + 24)

2.

Which expression is equivalent to:
d + d + d + 3 + 2

a)

3d + 5

b)

d + 5

c)

2d + 7

d)

3d + 4

3.

Distributive Property: 4(3s + 4t)

a)

12s + 4t

b)

12s - 16t

c)

12s + 16

d)

12s + 16t

4.

Which property supports this statement?

a)

Associative Property

b)

Commutative Property

c)

Distributive Property

d)

Identity

Property

5.

a)

A

b)

B

c)

C

d)

D

6.

What number belongs in the box so that Expression I is equivalent to Expression II?

(a)

7.

a)

A

b)

B

c)

C

d)

D

8.

a)

A

b)

B

c)

C

d)

D

9.

Expressions that are equal, usually due to simplifying are:

a)

Equivalent Expressions

b)

Terms

c)

Equation

d)

Expression

10.

a)

A

b)

B

c)

C

d)

D

11.

a)

A

b)

B

c)

C

d)

D

e)

E

12.

a)

A

b)

B

c)

C

d)

D

13.

a)

F

b)

G

c)

H

d)

J

14.

Which of these is equivalent to the expression?

a)

6c + 3

b)

6 x (c x 3)

c)

(c + 6) x 3

d)

6 x c x 3 x c

15.

a)

A

b)

B

c)

C

d)

D

16.

Simplify the algebraic expression 4x + 2y - 3x - 5y

a)

2x - 3y

b)

x + 2y

c)

x - 3y

d)

7xy - 8

17.

Equivalent (a) are two, or more, numerical, or algebraic expressions that are (b) the same.

Choose from the below words

expressions

exactly

similar

different

opposite

not equal

inequalities

18.

Which of the following is an equivalent expression to $9 + (5 + 4)$ using the associative property?

a)

$(9 + 5) + 4$

b)

$9 \times (5 + 4)$

c)

$9 + 5 \times 4$

d)

$9 \times 5 + 4$

19.

Simplify the following expression:
8a - 2(7a -3)

a)

8a - 14a - 6

b)

-6a + 6

c)

-6a - 6

d)

-6a - 3

20.

Match the equivalent expressions

a)

$4+6$

1.

$6+4$

b)

$4-6$

2.

$-6+4$

c)

$4\cdot6$

3.

$\left(4\right)\left(6\right)$

d)

$4\div6$

4.

$\frac{4}{6}$

Properties and Equivalent Expressions

Total questions: 20

Worksheet time: 20mins

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