Properties and Equivalent Expressions

• 2

• 4

• 8

Select the expression equivalent to 12x + 4 - 3x-2

• 9x + 6

• 15x + 2

• 9x + 2

• 7x

numbers can be added or multiplied by moving the parentheses (grouping)

Answer: ​ (a)  

• associative property

• commutative property

• composite

• distributive property

• equation

• equivalent

• expression

• identity property

• prime

• prime factorization

Match the expression to an equivalent expression.

• 
• 
• 
• 

Which is an example of the distributive property?

• 2(a + b) = (a + b)2

• a(b + c) = ab + bc

• ab + ac = a(b + c)

• 3(a + b) = 3(b + a)

The expressions 4 + 3(4 + 2a) = 4 + 12 + 6a are equivalent by the:

• Distributive Property

• Associative Property

• Commutative Property

• Identity Property

Use the distributive property to simplify:

6 x (4 + 2) =

• 6 x 8

• 6 x 4 + 6 x 2

• (6 + 4) x (6 + 2)

• 6 x (2 + 4)

The Distributive Property applies to:

• Each of the terms inside the parentheses

• The first term inside the parentheses

• Only the constants

• Only the coefficients

Select the equivalent expressions:

5(2 - c)

• 5(2) + 5(c)

• 10 + 5c

• (2 - c) x 5

• 10 - 5c

• 5c

Brianna and Amari had lunch at Subway. Brianna ordered a loaded turkey sub for $11, and Amari got a plain BMT sub for $8. When they checked out, Amari added a bag of chips for $2. Brianna figured up the total using this equation: (11 + 8) + 2. Amari realized it was easier to total the bill writing it as 11 + (8 + 2). Which property did Amari use to rewrite the sum?

• Associative Property of Addition

• Commutative Property of Addition

• Identity Property of Addition

• Distributive Property