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

Answer Key - Grade 7 Math Worksheet

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

1. 1.

   Kira spots 4x + 2.5 = 8.5 on the decimal puzzle sheet. What is x?

   1.5
2. 2.

   Pia meets a negative number in front of x: -2x + 6 = 14. What is x?

   -4
3. 3.

   Tala solves 0.5x + 1.25 = 4.75 with a freshly sharpened pencil. What is x?

   7
4. 4.

   Zee saves the hardest card, -2.5x + 5 = -10, for last. What is x?

   6
5. 5.

   Bo's study group has four answers for -5x + 10 = -15. Which value of x makes it true?

   • 5
   • 1
   • -7
   • -25
6. 6.

   Jun's sunflower is 4.5 cm tall and grows 1.5 cm a day. After how many days is it 12 cm tall?

   5
7. 7.

   Kira's bathtub already holds 4 gallons and fills 2.5 gallons each minute. After how many minutes does it hold 19 gallons?

   6
8. 8.

   Milo walks 1/2 mile to the track, then runs 6 equal laps, for 2 miles in all. How long is one lap?

   1/4
9. 9.

   Noah solves 3x + 4 = 19 with algebra: subtract 4 from both sides, then divide both sides by 3. Which arithmetic does the same steps in the same order?

   • (19 − 4) × 3
   • 19 ÷ 3 − 4
   • (19 − 4) ÷ 3
   • (19 + 4) ÷ 3
10. 10.

    Pia solves 4x − 7 = 13 with algebra: add 7 to both sides, then divide both sides by 4. Which arithmetic does the same steps in the same order?

    • (13 + 7) ÷ 4
    • (13 + 7) × 4
    • 13 ÷ 4 + 7
    • (13 − 7) ÷ 4