4
lesson pretestMultiple Choice

Pretest

Question 4 • Algebra 1

Which equation has no solution?

Answer
A
start absolute value negative x minus 3 end absolute value is equal to 5
B
start absolute value 2 x minus 1 end absolute value is equal to 0
C
start absolute value negative x plus 9 end absolute value is equal to 0
D
start absolute value 5 minus 3 x end absolute value is equal to negative 8

Explanation

An absolute value is always greater than or equal to 0, so it cannot equal a negative number. Choice D sets |5 − 3x| equal to −8, which is impossible for every value of x. The other choices can be solved because their right-hand sides are nonnegative.

AI-written and checked against the verified answer.

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