Properties and Equivalent Expressions

Which of the following expressions is equivalent to 5(y+2) + 4

• 5 + y + 5 + 2 + 4

• 5 x Y x 5 x 2 + 4

• 5 x Y x 4 + 5 x 2 x 4

• 5 x Y + 5 x 2 + 4

Are the following expressions equivalent?

3(4+2)

3 x 4 + 2

• YES

• NO

Which property says that the grouping of terms in multiplication and addition problems does not affect the outcome? 

• Inverse

• Identity

• Associative

• Distributive

Which property says that the value outside the parentheses should be applied to all values inside the parentheses? 

• Associative

• Distributative

• Commutative

• Inverse

1/4 (12g + 8) - 2g

• g + 8

• 3g + 8

• 5g + 2

• g + 2

Which is equivalent to 6x - 30? 

• x ( 6 - 5)

• 6( x - 30)

• 5( 6x - 6)

• 6( x - 5)

Which of the following is an example of the Multiplicative Inverse property?

• 3a ⋅ 0 = 0

• a/3 ⋅ 3/a = 1

• 3(x² - 4) = 3x² - 12

• (2a + b) + c = 2a + (b + c)

Which of the following is an example of the Additive Inverse property? 

• 3 + 4 + 5 = 5 + 4 + 3

• 6a + -6a = 0

• x + (y + z) = (x + y) + z

• 12m ⋅ 1 = 12m

Which property says that the order of the terms does not affect the outcome in addition and multiplication problems? 

• Commutative

• Associative

• Distributive

• Identity

3( 5a + b - 4) + 2( a + 3b + 7)

• 18a + 9b + 9

• 10a + 6b + 19

• 17a + 9b + 2

• 11a + 8b + 26