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.

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

   9
2. 2.

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

   8
3. 3.

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

   7
4. 4.

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

   6
5. 5.

   Pia's fraction card says (7/4)x + 6 = x/4 + 9. What is x?

   2
6. 6.

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

   9
7. 7.

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

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

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

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

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

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

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

    • 6
    • 12
    • 1
    • 4