Finding Equivalent Expressions Using Properties of Operations

Use the distributive property to write an equivalent expression to the one below:

9(6 + x) = ?

• 9 + 6 + x

• 9•6 + 9•x

• 9•6 + x

Which math property is used in the expression below? 7 + 3 = 3 + 7

• Identity

• Inverse

• Commutative

• Associative

• Distributive

Which math property is used in the expression below?

5(6 – 4) = 5(6) – 5(4)

• Identity

• Inverse

• Commutative

• Associative

• Distributive

Which math property is used in the expression below? (7 x 4) x 6 = 7 x (4 x 6)

• Identity

• Inverse

• Commutative

• Associative

• Distributive

• A

• B

• C

• D

Use properties of operations to generate an equivalent expression for 3(x + 2) - 2(x - 5)

• 3x + 6 - 2x - 10

• 3x - 6 - 2x + 10

• 3x + 6 + 2x - 10

• 3x + 6 - 2x + 10

• A

• B

• C

• D

• A

• B

• C

• D

Match the expressions that are equivalent.

HINT: Use the distributive property for two of the expressions and the commutative property for one expression.

• 15z + 30

• 5(3z + 6)

• 2(5n + 2)

• 10n + 4

• 3a + a

• 3a

Match the expression to the property listed that is being shown.  You may use them more than once. (Type your 5 letters lower case and with no spaces in between like: abcab)