7
QuizMultiple Choice

Solving Absolute Value Equations

Question 7 • AZ-Algebra 1A (MA101)

Which equation has only one solution?

Answer
A
|x – 5| = –1
B
|–6 – 2x| = 8
C
|5x + 10| = 10
D
|–6x + 3| = 0

Explanation

An absolute value equals 0 only when the expression inside it is 0. For choice D, solve −6x + 3 = 0, giving x = 1/2, so there is exactly one solution. Choice A has no solution because an absolute value cannot be negative; choices B and C each have two solutions because their absolute values equal positive numbers.

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