Equivalent Expressions Simplification

Use a table to determine if the expressions are equivalent.

e

f

g

h

d

c

a

16

Equivalent

18 `

18

14 `

Not Equivalent

22

14

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

Not Equivalent

Combine Like Terms

3

3

Distributive Property

17

Equivalent

17

10

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

d

c

b

a

Combine Like Terms `

Distributive Property

Commutative Property of Addition

Combine Like Terms

Complete the table of values for each value of x.

f

g

h

i

j

e

d

c

a

10

Not Equivalent

18

5

20

Equivalent

9

15

13

14

• 2

• 4

• 8

Simplify the following

• 5 + 3x

• 8x

• 8

• 3x + 5x

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

a

b

Combine Like Terms / Add

Combine Like Terms / Subtract

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

a

b

c

Distributive Property

Combine Like Terms

Associative Property of Multiplication

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

d

c

b

a

Commutative Property of Addition `

Commutative Property of Addition

Addition

Addition `

Which answer choice is equivalent to:

4(2x-5)+6x

Select all that apply.

• 2(7x-10)

• 14x-20

• 20-14x

• 14x-5