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.

   Noah and 3 friends each walk some km to the park and 1.5 km around the lake. Together they walk 14 km. What equation fits, with x the km to the park?

   4(x + 1.5) = 14
2. 2.

   Tala's bathtub holds 40 gallons of water and drains 2.5 gallons each minute. After how many minutes does it hold 15 gallons?

   10
3. 3.

   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
4. 4.

   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
5. 5.

   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
6. 6.

   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
7. 7.

   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
8. 8.

   Luz hikes 2/5 of a trail and then 4 more miles, for 12 miles in all. Which trail length makes the story true?

   • 8
   • 20
   • 26
   • 40
9. 9.

   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?

   • 22.5
   • 10
   • 15
   • 13
10. 10.

    Jun reads 3/4 of a book and then 6 more pages, for 51 pages in all. Which book length makes the story true?

    • 76
    • 60
    • 62
    • 45