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

Answer Key - Grade 8 Math Worksheet

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

1. 1.

   Ari meets bigger numbers in 9x − 3 = 5x + 21. What is x?

   6
2. 2.

   Bo's card has more x on the right: 2x + 26 = 4x + 8. What is x?

   9
3. 3.

   Esme solves 9x − 2 = 4x + 23 with a minus in the middle. What is x?

   5
4. 4.

   Milo faces 4(x − 1) = 2x + 16 with brackets on one side. What is x?

   10
5. 5.

   Noah solves 2.5x + 1 = 0.5x + 13 on the decimal sheet. What is x?

   6
6. 6.

   Zee checks 3x − 5 = 3x + 2 on the challenge board. How many solutions does it have?

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

   Bo joins the x pieces in x + 3x + 2 = 4x + 2. How many solutions does it have?

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

   Jun tests four values for 5x + 3 = 3x + 19. Which value of x makes it true?

   • 8
   • 11
   • 16
   • 2
9. 9.

   Kira checks four guesses for 7x − 2 = 5x + 10. Which value of x makes it true?

   • 12
   • 4
   • 6
   • 1
10. 10.

    Luz has four possible answers for 3(x − 4) = x + 8. Which value of x makes it true?

    • 5
    • 6
    • 10
    • 20