10
lesson pretestMultiple Choice

Pretest

Question 10 • Algebra 1

Which statement is true?

Answer
A
The equation negative 3 start absolute value 2 x plus 1 point 2 end absolute value is equal to negative 1 has no solution.
B
The equation negative 0 point 3 start absolute value 3 plus 8 x end absolute value is equal to 0 point 9 has no solution.
C
The equation 3 point 5 start absolute value 6 x minus 2 end absolute value is equal to 3 point 5 has one solution.
D
The equation 5 start absolute value negative 3 point 1 x plus 6 point 9 end absolute value is equal to negative 3 point 5 has two solutions.

Explanation

In choice B, the absolute value is always zero or positive, so multiplying it by −0.3 makes the left side zero or negative. It cannot equal 0.9, which is positive; therefore, the equation has no solution. The other choices do not make true statements: A and C each have two solutions, while D has no solution.

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