Equations with x on both sides, including no solution or infinitely many

Answer Key - Grade 8 Math Worksheet - Building Confidence

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

1. 1.

   Pia draws bars for 3x + 3 = x + 11, with x pieces on both bars. What is x?

   4
2. 2.

   Two bars of equal value, labeled, not drawn to length. Ren colors the bars for 5x − 3 = x + 21, using a different crayon for each bar. What is x?

   6
3. 3.

   Zee finds 4x + 5 = x + 14 on a puzzle card and cheers. What is x?

   3
4. 4.

   Bo copies 6x + 1 = 3x + 13 onto paper from the board. What is x?

   4
5. 5.

   Esme's quiz begins with 7x − 2 = 5x + 14. What is x?

   8
6. 6.

   Kira compares both sides of 3x + 4 = 3x + 4. How many solutions does it have?

   • Infinitely many solutions
   • No solution
   • Exactly one solution
7. 7.

   Luz spots 4x − 3 = 4x + 2 on a puzzle card. How many solutions does it have?

   • Infinitely many solutions
   • Exactly one solution
   • No solution
8. 8.

   Milo meets 6 + 2x = 2x + 6 in a book. How many solutions does it have?

   • No solution
   • Infinitely many solutions
   • Exactly one solution
9. 9.

   Noah sees x on both sides of 3x + 1 = x + 9 on a paper puzzle card. How many solutions does it have?

   • No solution
   • Infinitely many solutions
   • Exactly one solution
10. 10.

    Pia tests four guesses for 3x − 2 = x + 14. Which value of x makes it true?

    • 16
    • 4
    • 8
    • 6