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Grade 9 · Math · Algebra 1

9th grade Absolute value equations worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Absolute value equations

Grade 9 Math Worksheet - Building Confidence

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

  1. Ari draws a number line on paper. Which two numbers are 5 away from 3, written with a comma between?

  2. Bo draws a number line with a pencil. Which two numbers are 4 away from 6, written with a comma between?

  3. Jun draws a number line on a trail map. Which two numbers are 6 away from 1, written with a comma between?

  4. Kira reads |x - 3| = 5 on paper. Which sentence says the same thing?

    • x is 3 away from 5
    • x is 5 away from 0
    • x is 5 away from -3
    • x is 5 away from 3
  5. Luz reads |x - 7| = 2 with a pencil. Which sentence says the same thing?

    • x is 2 away from 0
    • x is 2 away from -7
    • x is 2 away from 7
    • x is 7 away from 2
  6. Milo reads |x + 4| = 6 in a math notebook. Which sentence says the same thing?

    • x is 6 away from 0 on the number line
    • x is 4 away from 6
    • x is 6 away from -4
    • x is 6 away from 4
  7. Noah reads |x + 1| = 3 on paper. Which sentence says the same thing?

    • x is 3 away from 1
    • x is 1 away from 3
    • x is 3 away from -1
    • x is 3 away from 0
  8. Pia tests numbers in |x - 4| = 3 on paper. Which number is a solution?

    • 7
    • -1
    • 4
    • 3
  9. Ren tests numbers in |x - 6| = 2 with a pencil. Which number is a solution?

    • 2
    • 4
    • -8
    • 6
  10. Zee tests numbers in |x + 1| = 4 on paper. Which number is a solution?

    • -1
    • 5
    • 4
    • 3
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9th grade Absolute value equations worksheet – printable
Print: 123456

About this worksheet

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

What your child will learn

  • I can say |x - 3| = 5 as "x is 5 away from 3" and find both numbers.
  • I can get the bars alone, then split into two answers.

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

Words to know

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.

Common mistakes

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.

What to say

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?

Questions parents ask

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.

More algebra 1

See all Algebra 1

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