Expression 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 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

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 Distributive Property? 

• 5p x 0 = 0
• (n + m) + p = n + (m + p)
• 4(2a + 7) = 8a + 28
• 6 + -6 = 0

Which of the following is an example of the Distributive Property? 

• 5p x 0 = 0
• (n + m) + p = n + (m + p)
• 4(2a + 7) = 8a + 28
• 6 + -6 = 0

Which of the following is an example of Multiplicative Identity Property? 

• 5m + 0 = 5m
• 5m x 1 = 5m 
• 5(m + 1) = 5m + 5
• 5 + -5 = 0

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

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 adding the opposite equals zero? 

• Inverse 
• Identity
• Associative
• Distributive