Two-step equation word problems

Answer Key - Grade 7 Math Worksheet

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

1. 1.

   At sunrise at Bo's campsite it is -6°F. It warms 2°F each hour. After h hours it is 8°F. What equation fits, with h the number of hours?

   2h − 6 = 8
2. 2.

   Milo and 3 friends each buy a bus ticket and a $2 snack. Together they spend $28. What equation fits, with c the cost of one ticket in dollars?

   4(c + 2) = 28
3. 3.

   Zee gives 5 groups the same number of pencils. Each group gives back 2 pencils, and 20 pencils stay with the groups. What equation fits, with g the pencils each group got?

   5(g − 2) = 20
4. 4.

   Ren buys 2 identical folders and uses a $1.50 coupon. Ren pays $8.50. How many dollars does one folder cost?

   $5
5. 5.

   At dawn at Esme's campsite it is -12°F. It warms 4°F each hour. After how many hours is it 8°F?

   5
6. 6.

   Noah checks a thermometer at 5°F. The temperature changes by the same amount each day for 5 days and ends at -10°F. By how many degrees does it change each day?

   -3
7. 7.

   Ari answers 4 quiz questions that each score the same points (wrong answers lose points), then gets an 8-point bonus. The final score is -4. How many points did each question score?

   -3
8. 8.

   Pia buys some kilograms of grapes and 3 kilograms of pears. Every fruit costs $2.50 a kilogram, and Pia pays $20 in all. How many kilograms of grapes does Pia buy?

   5
9. 9.

   Milo buys 4 identical sketchbooks and uses a $2 coupon. Milo pays $26. Which price for one sketchbook makes the story true?

   • $28
   • $6
   • $8.50
   • $7
10. 10.

    Kira and 5 friends each buy a bus ticket and use a $2 coupon. Together they pay $36. Which ticket price before the coupon makes the story true?

    • $4
    • $8
    • $48
    • $6