Equivalent Expressions Simplification

Use a table to determine if the expressions are equivalent.

e

f

g

h

d

c

a

18 `

16

18

Not Equivalent

14

14 `

Equivalent

22

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

17

10

Distributive Property

17

Not Equivalent

10

Combine Like Terms

3

Equivalent

3

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 `

Commutative Property of Addition

Distributive Property

Complete the table of values for each value of x.

f

g

h

i

j

e

d

c

a

9

15

14

10

5

13

18

Equivalent

Not Equivalent

20

• 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

Combine Like Terms

Distributive Property

Associative Property of Multiplication

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

d

c

b

a

Addition

Commutative Property of Addition `

Addition `

Commutative Property of Addition

Which answer choice is equivalent to:

4(2x-5)+6x

Select all that apply.

• 2(7x-10)

• 14x-20

• 20-14x

• 14x-5