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.

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

   3
2. 2.

   The math club warm-up is x + 7 = 3x + 3, and Ari wants to finish first. What is x?

   2
3. 3.

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

   4
4. 4.

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

   8
5. 5.

   Jun looks at 2x + 5 = 2x + 9 on the bonus board. How many solutions does it have?

   • Infinitely many solutions
   • Exactly one solution
   • No solution
6. 6.

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

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

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

   • 16
   • 6
   • 8
   • 4
8. 8.

   Ren has four possible answers for 8x + 5 = 6x + 19. Which value of x makes it true?

   • 7
   • 1
   • 12
   • 14
9. 9.

   Tala checks a friend's answers to 4x − 1 = 2x + 17 before class. Which value of x makes it true?

   • -9
   • 8
   • 3
   • 9
10. 10.

    Zee tries four values in 4x + 5 = 2x + 11. Which value of x makes it true?

    • 8
    • 1
    • 6
    • 3