Laws of Arithmetic

Which property is used in the following equation? 2(3 + 9) = 6 + 18

• Associative Property of Addition

• Distributive Property

• Associative Property of Multiplication

• Commutative Property of Addition

Which property is used in the following? 2 x (4 + 7) = 2 x 4 + 2 x 7

• Associative Property

• Commutative Property

• Distributive Property

• None of the above

Which property would you use to simplify the following expression? 9(y+3)

• Commutative Property

• Associative Property

• Distributive Property

• Multiplication Property

Which property is used in the following expression? (a x b) x c = a x (b x c)

• Associative Property of multiplication

• Commutative Property of Addition

• Associative Property of Addition

• Distributive Property

Which equation shows the Additive Inverse of a number?

• y + (-y) = 0

• y + y = 2y

• y + 0 = y

• y x 0 = 0

Which property of addition does 4 + 0 = 4 illustrate?

• Identity Property

• Zero Property

• Commutative Property

• Distributive Property

Which of the following does not show the Commutative Property of Addition?

• 2 + x = x + 2

• a + b = b + a

• 3x + 4y = 4y + 3x

• ab = ba

Which is an example of the identity Property of Addition?

• (5 + 7) + 6 = 5 + (7 + 6)

• 3 + 5 = 3 + 5

• 4 x 1 = 4

• 9 + 0 = 9

Which equation shows the Commutative Property of Multiplication?

• 7 x 9 = 9 x 7

• 5 x 6 - 2 x 6 = (5 -2) x 8

• 4 x 1 = 4

• 8 x 3 = 8 + 8 + 8

What is the additive inverse of the sum of -2 + 4?

• -6

• -2

• 2

• 6