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.

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

   5
3. 3.

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

   -2
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.

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

   2
7. 7.

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

   9
8. 8.

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

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

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

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

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

    • Infinitely many solutions
    • Exactly one solution
    • No solution