Absolute value equation solutions Practice Questions

Absolute value equation solutions. Game on.

Absolute value equation solutions is a grade 11 math skill aligned to Common Core standard HSA.REI.B.3: solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 10 absolute value equation solutions problems our math games drill.

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Warm-upeasy

$|x + 8| = 21$

Which of the following gives both solutions to the given equation?

The equation means $x + 8 = 21$ or $x + 8 = -21$ . So $x = 13$ or $x = -29$ . Both solutions are $-29$ and $13\textsf{.}$

Mid-gameeasy

$|x - 25| = 40$

Which of the following gives both solutions to the given equation?

The equation means $x - 25 = 40$ or $x - 25 = -40$ . So $x = 65$ or $x = -15$ . Both solutions are $-15$ and $65\textsf{.}$

Mid-gameeasy

$|x + 16| = 27$

Which of the following gives both solutions to the given equation?

The equation means $x + 16 = 27$ or $x + 16 = -27$ . So $x = 11$ or $x = -43$ . Both solutions are $-43$ and $11\textsf{.}$

Mid-gameeasy

$|x - 6| = 18$

Which of the following gives both solutions to the given equation?

The equation means $x - 6 = 18$ or $x - 6 = -18$ . So $x = 24$ or $x = -12$ . Both solutions are $-12$ and $24\textsf{.}$

Mid-gameeasy

$|2x + 10| = 16$

Which of the following gives both solutions to the given equation?

The equation means $2x + 10 = 16$ or $2x + 10 = -16$ . So $2x = 6$ or $2x = -26$ , and $x = 3$ or $x = -13$ . Both solutions are $-13$ and $3\textsf{.}$

Mid-gameeasy

$|3x - 12| = 24$

Which of the following gives both solutions to the given equation?

The equation means $3x - 12 = 24$ or $3x - 12 = -24$ . Adding $12$ gives $3x = 36$ or $3x = -12$ . Dividing by $3$ gives $x = 12$ or $x = -4$ . Both solutions are $-4$ and $12\textsf{.}$

Mid-gameeasy

$|x + 5| = 32$

Which of the following gives both solutions to the given equation?

The equation means $x + 5 = 32$ or $x + 5 = -32$ . So $x = 27$ or $x = -37$ . Both solutions are $-37$ and $27\textsf{.}$

Buzzer beatereasy

$|x - 14| = 20$

Which of the following gives both solutions to the given equation?

The equation means $x - 14 = 20$ or $x - 14 = -20$ . So $x = 34$ or $x = -6$ . Both solutions are $-6$ and $34\textsf{.}$

Absolute value equation solutions. Game on.

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