Which pair of expressions is equivalent using the Associative Property of Multiplication? 5(3a ⋅ 4) = 15a ⋅ 20
5(3a ⋅ 4) = (3a ⋅ 4) ⋅ 5
5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4
5(3a ⋅ 4) = 5 ⋅ 3a ⋅ 4
Question 2(Multiple Choice Worth 4 points)
(06.06)

A rectangle with width of 5. There is a vertical line that splits rectangle into two sections with different lengths. One length is x the other is 3.

5(x + 3) represents the area of the rectangle above. Which expression below is equivalent by the Distributive Property?

5x + 3
(5 + x) + 3
5x + 15
(x + 3) ⋅ 5
Question 3(Multiple Choice Worth 3 points)
(06.06)

Which algebraic property could be used to rewrite 4x + 2y as 2y + 4x?

Associative Property of Addition
Associative Property of Multiplication
Commutative Property of Addition
Commutative Property of Multiplication
Question 4(Multiple Choice Worth 3 points)
(06.06)

Which of the following demonstrates the Commutative Property of Multiplication?

3(4a − 2) = 12a − 6
3(4a − 2) = (4a − 2) ⋅ 3
12a − 6 = (4a − 2) ⋅ 3
(3 ⋅ 4a) − 2 = 3(4a − 2)
Question 5(Multiple Choice Worth 4 points)
(06.06)

Which of the following demonstrates the Distributive Property?

3(4a + 2) = 12a + 6
3(4a + 2) = 12a + 2
3(4a + 2) = 4a + 6
3(4a + 2) = 7a + 5
Question 6(Multiple Choice Worth 3 points)
(06.06)

Which of the following shows 2 + (x + 3y) rewritten using the Associative Property of Addition?

2 + x + 3y
(2 + x) + 3y
2x + (3 + y)
x + (2 + 3y)

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