8
lesson pretestMultiple Choice

Pretest

Question 8 • Algebra 1

Misha found that the equation negative start absolute value 2 x minus 10 end absolute value minus 1 is equal to 2 had two possible solutions: x is equal to 3 point 5 and x is equal to negative 6 point 5 Which explains whether or not her solutions are correct?

Answer
A
She is correct because both solutions satisfy the equation.
B
She is not correct because there are no solutions.
C
She is not correct because there is only one solution: x is equal to 3 point 5 .
D
She is not correct because she made a sign error.

Explanation

An absolute value is always zero or positive, so −|2x − 10| is zero or negative. Therefore, −|2x − 10| − 1 is always less than or equal to −1 and cannot equal 2. Misha’s proposed values do not satisfy the equation; there are no solutions, so choice B is correct.

AI-written and checked against the verified answer.

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