Absolute value equations

Answer Key - Grade 9 Math Worksheet - Building Confidence

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

1. 1.

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

   2, 10
2. 2.

   Esme draws a number line in a math notebook. Which two numbers are 3 away from -2, written with a comma between?

   -5, 1
3. 3.

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

   -5, 7
4. 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. 5.

   Luz reads |x - 7| = 2 with a pencil. Which sentence says the same thing?

   • x is 2 away from 7
   • x is 2 away from 0
   • x is 2 away from -7
   • x is 7 away from 2
6. 6.

   Milo reads |x + 4| = 6 in a math notebook. Which sentence says the same thing?

   • x is 6 away from -4
   • x is 6 away from 0 on the number line
   • x is 4 away from 6
   • x is 6 away from 4
7. 7.

   Noah reads |x + 1| = 3 on paper. Which sentence says the same thing?

   • x is 1 away from 3
   • x is 3 away from 0
   • x is 3 away from 1
   • x is 3 away from -1
8. 8.

   Pia tests numbers in |x - 4| = 3 on paper. Which number is a solution?

   • 7
   • 3
   • -1
   • 4
9. 9.

   Ren tests numbers in |x - 6| = 2 with a pencil. Which number is a solution?

   • -8
   • 2
   • 6
   • 4
10. 10.

    Zee tests numbers in |x + 1| = 4 on paper. Which number is a solution?

    • 5
    • -1
    • 4
    • 3