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.

   Jun gets 6x + 7 = 3x + 1, and the answer is below zero. What is x?

   -2
2. 2.

   Kira has to spread first in 3(x + 1) = x + 19. What is x?

   8
3. 3.

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

   10
4. 4.

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

   6
5. 5.

   Ren has decimals on both bars in 2.5x − 2 = 0.5x + 16. What is x?

   9
6. 6.

   Tala spreads the bracket in 2(x + 3) = 2x + 6. How many solutions does it have?

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

   Ari faces 4(x + 1) = 4x + 9 on paper, with a bracket on the left. How many solutions does it have?

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

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

   • 11
   • 16
   • 8
   • 2
9. 9.

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

   • 4
   • 1
   • 6
   • 12
10. 10.

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

    • 6
    • 10
    • 5
    • 20