Two-step equation word problems

Answer Key - Grade 7 Math Worksheet

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

1. 1.

   Pia starts a lemonade stand with $4.50 in the cash box. Each cup sells for $1.50. After c cups the box holds $19.50. What equation fits, with c the number of cups?

   1.5c + 4.5 = 19.5
2. 2.

   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
3. 3.

   Kira's bucket already holds 2 liters of water. Each trip adds 2.5 liters. After how many trips does the bucket hold 12 liters?

   4
4. 4.

   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
5. 5.

   Tala practices piano on 5 days. Each day, Tala warms up 5 minutes and then plays for some minutes. The total is 75 minutes. How many minutes does Tala play each day?

   10
6. 6.

   Jun gives 6 groups the same number of crayons. Each group returns 1 crayon, and 48 crayons stay with the groups. How many crayons did each group get?

   9
7. 7.

   Bo has $1.50 and earns $2 for each errand. Bo now has $9.50. Which number of errands makes the story true?

   • 3.25
   • 5.5
   • 8
   • 4
8. 8.

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

   • $8.50
   • $6
   • $7
   • $28
9. 9.

   Zee's table is 4 feet wide and (x + 3) feet long, and the top covers 36 square feet. Which value of x makes the story true?

   • 12
   • 24
   • 6
   • 9
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?

    • $6
    • $8
    • $4
    • $48