Organizing the Real Numbers Algebra

By Mary Salamone

Properties of Real Numbers Sort

Multiple Choice

Identify the property
(a ⋅ b) ⋅ c = (c ⋅ b) ⋅ a

• commutative of multiplication
• identity of multiplication
• inverse of multiplication
• associative of multiplication

Multiple Choice

What property is this?

(n + 13) + 4 = n + (13 + 4)

• Associative Property
• Commutative Property
• Additive Identity
• Distributive Property

Multiple Choice

Which of the following is an example of the ASSOCIATIVE PROPERTY OF ADDITION?

• 11 + (8 + 3) = 11 + (3 + 8)
• (20 + 0.5) + 3 = 20 + (0.5 + 3)
• 5(7 + 2) = 5(7) + 5(2)
• 3 x (5 x 4) = (3 x 5) x 4

Multiple Choice

The Commutative Property of Addition would say
2n + 4 = _______

• 2(n + 2)
• n2 + 4
• 4 + 2n
• 2n + 4

Multiple Choice

Pick the answer that is an example of the commutative property of multiplication

• b + c + a = a + b + c
• a(b + c) = ab + ac
• a ⋅ b = b⋅ a
• a ⋅ 1 = a

Multiple Choice

Pick the answer that is an example of the distributive property:

• b + c + a = a + b + c
• a(b + c) = ab + ac
• a ⋅ b = b⋅ a
• a ⋅ 1 = a

Multiple Choice

Identify the property
a(b + c) = ab + ac

• Associative of addtion
• Distributive
• Commutative of addition
• Inverse

Multiple Choice

Which correctly applies the associative property to the expression

$$\left(x+5\right)+7$$  

• $$\left(5+x\right)+7$$  

• $$x+\left(5+7\right)$$  

• $$7+\left(5+x\right)$$  

Multiple Choice

This is an example of which property:

(2 ⋅ 3) 4 = 2 (3 ⋅ 4)

• Associative
• Commutative
• Inverse
• Identity

Multiple Choice

This is an example of which property:

(2 ⋅ 3) 4 = (3 ⋅ 2) 4

• Associative
• Commutative
• Inverse
• Identity

Multiple Choice

Which property says changing the order of the terms in addition or multiplication will not change the result?

• Commutative

• Associative

• Inverse

• Identity

Multiple Choice

(19 x 5) x 2 = 19 x (5 x 2)

• Associative Property of Multiplication
• Commutative Property of Multiplication
• Identity Property of Multiplication
• Associative Property of Addition

Multiple Choice

2 (x - y) = 2x - 2y

• Associative Property of Addition

• Distributive Property

• Transitive Property

• Identity Property

Multiple Choice

Which is an example of the commutative property of multiplication?

• 4 x(1 _^x 2) = (4 x 1) x 2
• 2 x 2 = 4 x 1
• 2(3) = 2(4)
• 3 x 4 = 4 x 3

Multiple Choice

Which is an example of the distributive property?

• 5 + 2 = 2 + 5

• 7(1 + b) = 7(1) + 7(b)

• y+(x+4) = (y+x)+4

• 1 x 2 x 3 = 3 x 2 x 1