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.

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

   -10
2. 2.

   Kira reads 6 = 1.5x − 4.5 from right to left, just to be different. What is x?

   7
3. 3.

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

   11
4. 4.

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

   -2
5. 5.

   Ren checks four answers for 1 = 4x + 9, with x on the right. Which value of x makes it true?

   • 2
   • 5/2
   • -8
   • -2
6. 6.

   Early morning at Tala's ski camp it is -8°F. It warms 2.5°F each hour. After how many hours is it 7°F?

   6
7. 7.

   Zee watches a whale at -40 m rise 2.5 m each second. After how many seconds is the whale at -15 m?

   10
8. 8.

   Ari reads 2/3 of a book, then 12 more pages, for 52 pages so far. How many pages long is the book?

   60
9. 9.

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