Two-step equation word problems

Answer Key - Grade 7 Math Worksheet - Challenge Me

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

1. 1.

   Ren watches 6 minutes of previews, then 3/4 of a movie. 81 minutes have passed. What equation fits, with g the length of the movie in minutes?

   (3/4)g + 6 = 81
2. 2.

   Esme starts a game at -5 points and scores 4 points each round. After g rounds Esme has 19 points. What equation fits, with g the number of rounds?

   4g − 5 = 19
3. 3.

   Luz watches 15 minutes of previews, then 3/4 of a movie. In all Luz sits for 105 minutes. How many minutes long is the movie?

   120
4. 4.

   At noon at Jun's campsite it is 8°F. It drops 3°F each hour. After how many hours is it -10°F?

   6
5. 5.

   Milo ties 5 equal ribbons. Each ribbon is some meters long plus a 0.5 m bow. All together they measure 12.5 meters. How many meters long is one ribbon without its bow?

   2
6. 6.

   Zee loads 4 boxes. Each box holds some kilograms of books plus 2 kilograms for the box itself. The load is 40 kilograms. How many kilograms of books are in one box?

   8
7. 7.

   Kira rides the bus 3 times. Each trip goes some km to the park and 1.5 km on to school. The 3 trips total 18 km. How many km is the ride to the park?

   4.5
8. 8.

   Table. Weeks: 0, 1, 2, 3. Savings in dollars: 5, 9, 13, 17. Esme tracks savings each week (see the table). The pattern keeps going. After how many weeks does Esme have $45?

   10
9. 9.

   Table. Days: 0, 1, 2, 3. Pages left: 90, 78, 66, 54. Noah tracks the pages left in a book (see the table). The pattern keeps going. After how many days are 18 pages left?

   6
10. 10.

    Tala's game starts at -9 coins. Tala earns 1.5 coins each round and now has 6 coins. Which number of rounds makes the story true?

    • 10
    • 22.5
    • 15
    • 13