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.

   Milo's fraction challenge card says 4x + 1/3 = 3. What is x?

   2/3
2. 2.

   Noah finds 2x − 1/3 = 3 in the math book's puzzle corner. What is x?

   5/3
3. 3.

   Ren circles the tricky one on the worksheet: -3x − 6 = 9. What is x?

   -5
4. 4.

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

   6
5. 5.

   Ari tests four guesses for 1.5x + 3 = 12. Which value of x makes it true?

   • 5
   • 10
   • 6
   • 9
6. 6.

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

   • -7
   • -25
   • 5
   • 1
7. 7.

   Esme narrows 4x + 1/2 = -3/2 down to four answers, tapping the pencil on the desk. Which value of x makes it true?

   • -1/2
   • -7/8
   • -2
   • -1/4
8. 8.

   Luz's art club buys 4 cans of paint, uses a $3 coupon, and pays $17. How much does one can of paint cost?

   $5
9. 9.

   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
10. 10.

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