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.

   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
3. 3.

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

   $5
4. 4.

   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
5. 5.

   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
6. 6.

   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
7. 7.

   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
8. 8.

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

   • 8
   • 5.5
   • 4
   • 3.25
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
   • 9
   • 6
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
    • $6
    • $48