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.

CCSS HSA.REI.B.310 questions in the bank
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Warm-upeasy

x+8=21|x + 8| = 21

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

The equation means x+8=21x + 8 = 21 or x+8=21x + 8 = -21. So x=13x = 13 or x=29x = -29. Both solutions are 29-29 and 13.13\textsf{.}

Mid-gameeasy

x25=40|x - 25| = 40

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

The equation means x25=40x - 25 = 40 or x25=40x - 25 = -40. So x=65x = 65 or x=15x = -15. Both solutions are 15-15 and 65.65\textsf{.}

Mid-gameeasy

x+16=27|x + 16| = 27

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

The equation means x+16=27x + 16 = 27 or x+16=27x + 16 = -27. So x=11x = 11 or x=43x = -43. Both solutions are 43-43 and 11.11\textsf{.}

Mid-gameeasy

x6=18|x - 6| = 18

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

The equation means x6=18x - 6 = 18 or x6=18x - 6 = -18. So x=24x = 24 or x=12x = -12. Both solutions are 12-12 and 24.24\textsf{.}

Mid-gameeasy

2x+10=16|2x + 10| = 16

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

The equation means 2x+10=162x + 10 = 16 or 2x+10=162x + 10 = -16. So 2x=62x = 6 or 2x=262x = -26, and x=3x = 3 or x=13x = -13. Both solutions are 13-13 and 3.3\textsf{.}

Mid-gameeasy

3x12=24|3x - 12| = 24

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

The equation means 3x12=243x - 12 = 24 or 3x12=243x - 12 = -24. Adding 1212 gives 3x=363x = 36 or 3x=123x = -12. Dividing by 33 gives x=12x = 12 or x=4x = -4. Both solutions are 4-4 and 12.12\textsf{.}

Mid-gameeasy

x+5=32|x + 5| = 32

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

The equation means x+5=32x + 5 = 32 or x+5=32x + 5 = -32. So x=27x = 27 or x=37x = -37. Both solutions are 37-37 and 27.27\textsf{.}

Buzzer beatereasy

x14=20|x - 14| = 20

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

The equation means x14=20x - 14 = 20 or x14=20x - 14 = -20. So x=34x = 34 or x=6x = -6. Both solutions are 6-6 and 34.34\textsf{.}

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