13
QuizMultiple Choice

Quadratics and Complex Numbers — Test

Question 13 • Algebra II

Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression open paren negative 1 plus i close paren plus open paren 21 plus 5 i close paren ?

Answer
A
open paren negative 1 plus 21 close paren plus open paren i plus 5 i close paren
B
negative open paren 1 minus i close paren plus open paren 21 plus 5 i close paren
C
negative 1 plus open paren i plus 21 close paren plus 5 i
D
open paren negative 1 plus i close paren plus open paren 21 plus 5 i close paren plus 0

Explanation

The commutative property of addition lets you switch the order of addends without changing their values. In (−1 + i) + (21 + 5i), moving 21 before i gives −1 + (i + 21) + 5i, which is choice C.

AI-written and checked against the verified answer.

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