Solve two-step equations like 3x + 4 = 19

Answer Key - Grade 7 Math Worksheet - Challenge Me

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

1. 1.

   Tala meets a fraction in front of x: (2/3)x + 5 = 11. What is x?

   9
2. 2.

   Bo colors in the bars for (2/5)x − 3 = -7. What is x?

   -10
3. 3.

   Esme finds (5/4)x + 1/2 = 3 in the challenge corner of the math book. What is x?

   2
4. 4.

   Luz gets -2 = -0.5x + 3.5 as the warm-up. What is x?

   11
5. 5.

   Milo spots -9/2 = 3x + 3/2 in the puzzle corner. What is x?

   -2
6. 6.

   Noah tests four guesses for (2/3)x − 4 = 6. Which value of x makes it true?

   • 10
   • 20/3
   • 13
   • 15
7. 7.

   Pia's team has four answers for -0.5x + 3 = 8. Which value of x makes it true?

   • 5
   • 10
   • -19
   • -10
8. 8.

   Esme solves (3/4)x + 2 = 11 with algebra: subtract 2 from both sides, then divide both sides by 3/4. Which arithmetic does the same steps in the same order?

   • (11 + 2) ÷ (3/4)
   • (11 − 2) ÷ (3/4)
   • (11 − 2) × (3/4)
   • 11 ÷ (3/4) − 2
9. 9.

   Jun solves -10 = 4x + 6 with algebra: subtract 6 from both sides, then divide both sides by 4. Which arithmetic does the same steps in the same order?

   • (-10 + 6) ÷ 4
   • (-10 − 6) ÷ 4
   • -10 ÷ 4 − 6
   • (-10 − 6) × 4
10. 10.

    Kira solves -2x − 5 = 9 with algebra: add 5 to both sides, then divide both sides by -2. Which arithmetic does the same steps in the same order?

    • (9 − 5) ÷ (-2)
    • 9 ÷ (-2) + 5
    • (9 + 5) ÷ (-2)
    • (9 + 5) × (-2)