Write an equation for a story

Answer Key - Grade 7 Math Worksheet - Building Confidence

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

1. 1.

   Ren has $8 and saves $2 each week for a new kite. After w weeks, Ren has $30. Let w be the number of weeks. What equation matches the story?

   2w + 8 = 30
2. 2.

   Tala's sunflower seedling is 6 cm tall and grows 2 cm each day. After d days, it is 26 cm tall. Let d be the number of days. What equation matches the story?

   2d + 6 = 26
3. 3.

   Zee buys 3 packs of crayons and uses a $2 coupon. Zee pays $13. Let c be the price of one pack, in dollars. What equation matches the story?

   3c − 2 = 13
4. 4.

   Ari has 4 bags with the same number of buttons in each. Ari gives 5 buttons away and keeps 19. Let g be the buttons in one bag. What equation matches the story?

   4g − 5 = 19
5. 5.

   Not to scale. Esme draws two bars of equal value for a puzzle about pages. Let d stand for the unknown. Which equation matches the bars?

   • 5d + 3 = 28
   • 3d + 5 = 28
   • 5d − 3 = 28
   • d + 3 = 28
6. 6.

   Kira has 5 shells and finds 3 more each day at the beach. After d days, Kira has 23 shells. Let d be the number of days. Which equation fits?

   • 3d + 5 = 23
   • 5d + 3 = 23
   • 3d − 5 = 23
   • 3(d + 5) = 23
7. 7.

   Luz buys 5 packs of crayons and uses a $3 coupon. Luz pays $22. Let c be the price of one pack, in dollars. Which equation fits?

   • 5(c − 3) = 22
   • c − 3 = 22
   • 5c + 3 = 22
   • 5c − 3 = 22
8. 8.

   Milo has read 12 pages and reads 4 more each day. After d days, Milo has read 40 pages. Let d be the number of days. Which equation fits?

   • 4d + 12 = 40
   • 4d + 40 = 12
   • 4d − 12 = 40
   • 4(d + 12) = 40
9. 9.

   Noah is given 6d + 5 = 41, where d is the number of days. Which story matches that equation?

   • Noah has read 6 pages and reads 5 more each day. After d days, Noah has read 41 pages.
   • Noah reads 6 pages each day and skips 5 pages of the index. After d days, Noah has read 41 pages.
   • Noah has read 5 pages and reads 1 more each day. After d days, Noah has read 41 pages.
   • Noah has read 5 pages and reads 6 more each day. After d days, Noah has read 41 pages.
10. 10.

    Pia is given 3c − 4 = 17, where c is the price of one can, in dollars. Which story matches that equation?

    • Pia's art club buys 3 cans of paint and a $4 brush. The club pays $17.
    • Pia's art club buys 1 can of paint and uses a $4 coupon. The club pays $17.
    • Pia's art club buys 3 cans of paint and uses a $4 coupon. The club pays $17.
    • Pia's art club buys 4 cans of paint and uses a $3 coupon. The club pays $17.