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

Answer Key - Grade 8 Math Worksheet - Building Confidence

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

1. 1.

   Pia draws bars for 3x + 3 = x + 11, with x pieces on both bars. What is x?

   4
2. 2.

   Two bars of equal value, labeled, not drawn to length. Ren colors the bars for 5x − 3 = x + 21, using a different crayon for each bar. What is x?

   6
3. 3.

   The math club warm-up is x + 7 = 3x + 3, and Ari wants to finish first. What is x?

   2
4. 4.

   Bo copies 6x + 1 = 3x + 13 onto paper from the board. What is x?

   4
5. 5.

   Kira compares both sides of 3x + 4 = 3x + 4. How many solutions does it have?

   • Infinitely many solutions
   • Exactly one solution
   • No solution
6. 6.

   Milo meets 6 + 2x = 2x + 6 in a book. How many solutions does it have?

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

   Noah sees x on both sides of 3x + 1 = x + 9 on a paper puzzle card. How many solutions does it have?

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

   Ren has four possible answers for 8x + 5 = 6x + 19. Which value of x makes it true?

   • 14
   • 12
   • 1
   • 7
9. 9.

   Tala checks a friend's answers to 4x − 1 = 2x + 17 before class. Which value of x makes it true?

   • 9
   • -9
   • 3
   • 8
10. 10.

    Zee tries four values in 4x + 5 = 2x + 11. Which value of x makes it true?

    • 3
    • 8
    • 1
    • 6