Equivalent Expressions with the Distributive Property

Fill in the blank with the correct value to make the expressions equivalent

6 • (y • b) = (6 •___) • b

• 6

• y

• b

• yb

Answer explanation

Use the Associative Property to fill in the blank - the grouping (parentheses change)

Fill in the blank with the correct value to make the expressions equivalent

9 (5 - 3a) = (9 • ____) - (9 • 3a)

• 5

• 45

• 3

• 3a

• 27

Answer explanation

Use the Distributive Property to fill in the blank

Fill in the blank with the value that will make the expressions equivalent

6g + 6h = ____ (g + h)

Answer explanation

Use the Distributive Property to fill in the blank

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?

3(1 + 9) = 3 + 27

• Identity

• Inverse

• Commutative

• Associative

• Distributive

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

The sum of two numbers times a third number is equal to the sum of each

addend times the third number.

a x (b + c) = a x b + a x c

• Commutative

• Associative

• Distributive

The distributive property multiplies a factor through a group with parentheses.

• True

• False

The below expressions are equivalent:

12 - (y • 2) = 12 - (2 • y)

• True

• False

Use the distributive property to simplify the expression.

9(2g + 3)

• 18g + 27

• 18g - 27

• -18g - 27

• 18g - 18