11
AssignmentMultiple Choice

Equivalent Expressions and the Distributive Property

Question 11 • (AG Q1) Keystone Algebra 1 Block: 26-27 (DDiamond)

Are the expressions equivalent? Use j = 3 and j = 8 to determine if they are. 7(j – 2) 4j – 5

Answer
A
No, because when j = 8, the values of the expressions are different.
B
Yes, because when j = 3, the value of both expressions is 7 and when j = 8, the value of both expressions is 42.
C
Yes, because when j = 3, the value of both expressions is 7.
D
Yes, because when j = 8, the values of the expressions are different.

Explanation

Substitute j = 3: 7(j − 2) = 7 and 4j − 5 = 7, so the expressions match for that value. But when j = 8, 7(j − 2) = 42, while 4j − 5 = 27. Since the expressions give different values when j = 8, they are not equivalent; choice A is correct.

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