Question 1 (1 point) Identify the property used to find the equivalent expression:

[4+(−2)]+1=4+[(−2)+1]

Question 1 options:

Associative Property of Addition

Associative Property of Multiplication

Commutative Property of Addition

Commutative Property of Multiplication
Question 2 (1 point)

Identify the property used to find the equivalent expression:

(9⋅3)⋅6=6⋅(9⋅3)

Question 2 options:

Associative Property of Addition

Associative Property of Multiplication

Commutative Property of Addition

Commutative Property of Multiplication
Question 3 (1 point)

The following is a proof that shows (5p)(4q)
is equivalent to 20pq

. Fill in each blank with either “Commutative Property” or “Associative Property” to indicate the property being used.

Question 3 options:

Associative Property

Commutative Property

Distributive Property

Equivalent Property
Question 4 (1 point)

Consider the expressions a(b−c)
and a(c − b)

. Are the two expressions equivalent? True if yes and False if no.
Question 4 options:
True
False
Question 5 (1 point)

The Associative and Commutative Properties are also true for subtraction and division. For example, a - b is always equal to b - a.
Question 5 options:
True
False