Equivalent Expressions 12-4-2023

Match the following

Groups:

(a) Commutative Property of Addition

,

(b) Associative Property of Multiplication

,

(c) Associative Property of Addition

,

(d) Commutative Property of Multiplication

• 
• 
• 
• 

Complete the table of values for each value of x.

f

g

h

i

j

e

d

c

a

13

Equivalent

Not Equivalent

9

5

15

18

10

14

20

Use the properties of numbers and operations to determine if the expressions are equivalent.

a

b

Combine Like Terms / Add

Combine Like Terms / Subtract

Use a table to determine if the expressions are equivalent.

e

f

g

h

d

c

a

Not Equivalent

16

14

18 `

Equivalent

22

14 `

18

For each pair of expressions, use a table and the properties of numbers and operations to determine if the expressions are equivalent.

g

h

i

j

f

e

d

c

b

10

Combine Like Terms

Equivalent

Distributive Property

17

3

17

3

10

Not Equivalent

For each step of the simplification of the expression, identify the property or operation applied.

a

b

c

Combine Like Terms

Associative Property of Multiplication

Distributive Property

For each step of the simplification of the expression, identify the property or operation applied.

d

c

b

a

Commutative Property of Addition

Addition `

Commutative Property of Addition `

Addition

For each step of the simplification of the expression, identify the property or operation applied.

d

c

b

a

Combine Like Terms `

Combine Like Terms

Distributive Property

Commutative Property of Addition