8
QuizMultiple Choice

Solving Absolute Value Equations

Question 8 • AZ-Algebra 1A (MA101)

What is the solution to –4|–2x + 6| = –24?

Answer
A
x = 0
B
x = 0 or x = –6
C
x = 0 or x = 6
D
no solution

Explanation

Divide both sides of −4|−2x + 6| = −24 by −4 to get |−2x + 6| = 6. The expression inside the absolute value can equal 6 or −6: solving −2x + 6 = 6 gives x = 0, and solving −2x + 6 = −6 gives x = 6. So the solution is x = 0 or x = 6, choice C.

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