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.

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

   -2
4. 4.

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

   8
5. 5.

   Luz's paper puzzle card reads 6(x − 3) = 2x + 10. What is x?

   7
6. 6.

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

   10
7. 7.

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

   9
8. 8.

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

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

   Esme compares both sides of 6x + 1 = 2x + 9. How many solutions does it have?

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

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

    • 20
    • 6
    • 5
    • 10