11
QuizMultiple Choice

Completing The Square

Question 11 • Fall 24 GMS Advanced Algebra: Concepts and Connections A

Which equation shows an example of the associative property of addition?

Answer
A
(–4 + i) + 4i = –4 + (i + 4i)
B
(–4 + i) + 4i = 4i + (–4i + i)
C
4i × (–4i + i) = (4i – 4i) + (4i × i)
D
(–4i + i) + 0 = (–4i + i)

Explanation

The associative property of addition changes the grouping of addends without changing their order: (a + b) + c = a + (b + c). Choice A has this form, grouping the same addends –4, i, and 4i differently. Choice B changes the order of terms, which is the commutative property, not the associative property.

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