Grade 9 · Math · Algebra 1

9th grade Absolute value equations worksheet

6 printable versionsOn Level10 questions · answer keyFree · no account

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Absolute value equations

Grade 9 Math Worksheet

NameDate

Circle the best answer, or write your answer on the line.

Bo solves |x + 2| = 6 with a pencil. Which two numbers make it true, written with a comma between?
Jun solves |x + 5| = 1 on paper. Which two numbers make it true, written with a comma between?
Luz solves 3|x + 2| - 4 = 5 in a math notebook. Which two numbers make it true, written with a comma between?
Milo solves 2|x - 4| - 6 = 4 on paper. Which two numbers make it true, written with a comma between?
Noah solves 5|x + 3| + 2 = 22 with a pencil. Which two numbers make it true, written with a comma between?
6.
Ren looks at |x + 1| = -4 with a pencil. How many numbers solve it?
- One solution
- No solution
- Infinitely many solutions
- Two solutions
7.
Zee looks at |x - 6| + 3 = 1 on paper. How many numbers solve it?
- Two solutions
- No solution
- One solution
- Infinitely many solutions
8.
Ari marks -1 and 7 on a number line on paper. Which equation has exactly these two solutions?
- |x - 4| = 3
- |x - 3| = 8
- |x + 3| = 4
- |x - 3| = 4
9.
Esme marks -9 and -3 on a number line in a math notebook. Which equation has exactly these two solutions?
- |x - 6| = 3
- |x + 6| = 3
- |x - 3| = 6
- |x + 6| = 6
10.
Jun marks -8 and 2 on a number line on paper. Which equation has exactly these two solutions?
- |x - 3| = 5
- |x - 5| = 3
- |x + 3| = 5
- |x + 3| = 10

Absolute value equations. Every version has 10 questions, and the answer key prints on the second page.

Standard: state-only (no CCSS standard names it; A-REI.A.1, A-CED.A.1 support)

absolute value: How far a number is from 0.

distance: How far apart two numbers are; never negative.

solution: A number that makes the equation true.

no solution: No number makes the equation true.

Your child found one solution and stopped.

Your child measured the distance from 0 instead of from the center.

Your child swapped the center and the distance.

Ask: can a number be the same distance away on the other side?

Ask: in |x - 3| = 5, what number does the distance start from?

Ask: which number goes inside the bars and which goes after the equals sign?

What is the most common mistake with absolute value equations?

Your child found one solution and stopped.

How can I help my child with absolute value equations?

Ask: can a number be the same distance away on the other side?

Are these 9th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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