Recognize When Two Expressions Are Equivalent

8a + 7 - 5t - a

• 10t

• 7a - 5t + 7

• 15 - 5t

• 10at

Which expression is equivalent to 3x + 5 + 7x +2?

• 10x+7

• 17x

• 17

• 15x+2

Which expression is equivalent to 4(x+6)

• 4x+6

• 4x+24

• x +24

• 10x+24

Which expressions is equivalent to 6(2x-3)?

• 12x-3

• 8x-9

• 8x-18

• 12x-18

• 2

• 4

• 8

Which expression is equivalent to 7(3a+4b)

• 21a +28b

• 10a+11b

• 21a+4b

• 10a+28b

Which expression is equivalent to 12(5-4x)

• 12x

• 17-16x

• 60-48x

The manager of a store increases the price of a popular product by 5​%. Let t be the original price of the product. Write an equivalent expression by combining like terms

• 0.95t

• 0.05t

• 1.05t

• 105t

Are  these two expressions equivalent?
2 • (3 • 7) and  (2 • 3) • 7 

• Yes, because of the associative property

• Yes, because of the commutative property

• Yes, because of the distributive property

• No, these two expressions are not exquivalent

Identify the property use to make the expressions equivalent

• Identity

• Commutative

• Associative

• Distributive

Answer explanation

The associative property allows the grouping (parentheses) to change