Equivalent Expressions & Properties

Which of the following is an example of Commutative Property? 

• x + -x = 0
• 5x + 0 = 5x
• 3 + x = x + 3
• 5(2x - 4) = 10x - 20

Which property says that adding the opposite equals zero? 

• Inverse 
• Identity
• Associative
• Distributive

4a + 3b - a + 5 + 1

• 5a + 9b
• 3a + 3b + 3
• 3a + 3b + 6
• 5a - 3b + 6

Which is equivalent to 8 ( 16 + 12)

• (8 x 16) + 12
• (8 x 16 ) + (8 x 12)
• (8 x 16) - (8 x 12)
• (8 x 16) - 12

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 Associative Property? 

• (y + 2) + 4 = y + (2 + 4)
• 4 x 1/4 = 1
• 12a ⋅1 = 12a
• abc = cba

8( 6x - 4)

• 16x
• 48x - 4
• 14x - 12
• 48x - 32

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

• Commutative
• Associative
• Distributive
• Identity

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

• Inverse
• Identity
• Associative
• Distributive

5m³ + 4m² + 3m + m³ - 4

• 6m³ + 4m² + 3m - 4
• 5m³ + 8m² 3m - 4
• 9m³ + 4m - 4
• m³ + 7m²  - 4