Absolute value equations

Answer Key - Grade 9 Math Worksheet - Challenge Me

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

1. 1.

   Kira solves |2x - 3| = 7 on paper. Which two numbers make it true, written with a comma between?

   -2, 5
2. 2.

   Luz solves |3x + 6| = 12 with a pencil. Which two numbers make it true, written with a comma between?

   -6, 2
3. 3.

   Milo solves |4x - 8| = 4 in a math notebook. Which two numbers make it true, written with a comma between?

   1, 3
4. 4.

   Noah solves |5x + 5| = 10 on paper. Which two numbers make it true, written with a comma between?

   -3, 1
5. 5.

   Pia solves |x - 3| / 2 + 1 = 4 with a pencil. Which two numbers make it true, written with a comma between?

   -3, 9
6. 6.

   Tala solves |x - 5| / 4 + 3 = 5 on paper. Which two numbers make it true, written with a comma between?

   -3, 13
7. 7.

   Zee solves |x + 4| / 2 - 1 = 2 with a pencil. Which two numbers make it true, written with a comma between?

   -10, 2
8. 8.

   Ari solves |3x - 9| = 12 on paper and marks both solutions on a number line. How far apart are the two marks?

   8
9. 9.

   Bo solves |4x + 8| = 20 in a math notebook and marks both solutions on a number line. How far apart are the two marks?

   10
10. 10.

    Esme solves |5x + 5| = 15 with a pencil and marks both solutions on a number line. How far apart are the two marks?

    6