To Factor Numerical Expressions Using the Distributive Property

Multiplying a number outside the parentheses by each term inside the parentheses (double rainbow!)

4(2x -1) = 8x - 4

• associative property

• commutative property

• distributive property

• like terms

Dividing a sum or difference of two numbers by a common divisor

• Distributive Property of Division

• Dividend

• Distributive Property of Multiplication

• Divisor

Which expression is equivalent to 6b + 3(a+b)?

• 3a (7b)

• 9b + (a+b)

• 3a + 6b

• 3a + 9b

Use the distributive property to simplify -15(2x + 5)​ (a)  

• -30x - 75

• -30x + 75

• -30x + 5

Use the Distributive Property to simplify the expression.
5(57)

• 250

• 285

• 305

• 295

Use the Distributive Property to simplify the expression.
6(7g + 4 − g)

• 60g

• 41g + 4

• 36g + 24

• 12g +4

Multiplying a sum of two numbers by a factor is equivalent to multiplying each of the addends by the factor and adding the products

• Distributive Property of Division

• Divisor

• Distributive Property of Multiplication

• Dividend

Which expression uses the greatest common factor and distributive property to express
54 + 90?

• 9 ( 6 + 10 )

• 9 ( 6 + 90 )

• 30 ( 24 + 60 )

• 18 ( 3 + 5 )

Rewrite using distributive property and GCF.
16 + 24

• 2(8+12)

• 3(5+8)

• 4(4+6)

• 8(2+3)

What is the distributive property?

• A mathematical rule that states the order of numbers in an addition and multiplication problem does not change the final answer

• Describes how to distribute multiplication over addition and subtraction

• Using the order of operations to find the value of a numerical expression

• Writing a numerical expression or algebraic expression as a product of factors