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Writing Equations from situations
Contributed by: Bailey
  • 1. The weights of four cousins are 155 pounds, 129 pounds, 141 pounds, and 158 pounds. Which equation could you use to find x, the average weight of the cousins?
A) 155+129+141+158 = X
B) 155+129+141+158/4 = X
C) 155+129+141+158 x 4 = X
  • 2. Alexia charges $15 per hour for labor to repair bicycles. Which equation could you use to find x, the number of hours Alexia worked if she charged $120 for labor?
A) 15+X = 120
B) 120X = 15
C) 15X = 120
  • 3. Sallie’s dinner cost $6.94. She received $13.06 in change when she paid the bill. Which equation could you use to find x, the amount of money she gave the cashier?
A) 13.06 - 6.94 = X
B) X - 13.06 = 6.94
C) X - 6.94 = 13.06
  • 4. Simeon collected 240 baseball cards last year. He gave 35% of them to his cousin. Which equation could you use to find x, the number of baseball cards Simeon gave away?
A) 240(35) = X
B) 240(0.35) = X
C) 240 - 35 = X
  • 5. Jordan spent $4 of his allowance and had $16 left. Which equation could you use to find x, the total amount of Jordan's allowance?
A) X - 4 = 16
B) X + 4 = 16
C) 16 - 4 = X
  • 6. Cecilia has hit 4 of the last 16 balls pitched. Which equation could you use to find x, the total number of balls pitched?
A) 16 - 4 = X
B) 4 + 16 = X
C) X - 4 = 16
  • 7. Miranda picked 16 apples and ate 1/4 of them. Which equation could you use to find x, the number of apples she had eaten?
A) 16 - 0.25 = X
B) 16(0.25) = X
C) 16 - x = X
  • 8. Sergio's lunch cost $4.72. He received $5.28 in change when he paid his bill. Which equation can be used to find x, the amount of money he gave the cashier?
A) 5.28 - 4.72 = X
B) 5.28 + 4.72 = X
C) X - 4.72 = 5.28
  • 9. Janice and Moira measured the wingspans of butterflies in science class. Janice's butterfly had a wingspan of 4.72 centimeters, and Moria's butterfly had a wingspan of 5.28 centimeters. Which equation could you use to find x, the average length of a butterfly's wingspan?
A) 4.72 + 5.28 x 2 = X
B) 4.72 + 5.28 / 2 = X
C) 4.72 + 5.28 = X
  • 10. Adam charges $22 per hour for labor to repair lawn mowers. What equation could you use to find x, the number of hours Adam worked if he charged $160 for labor?
A) 22X = 160
B) 160 - 22 = X
C) 160X = 22
  • 11. A cellphone company charges a monthly rate of $12.95 and $0.25 a minute per call. Which equation would you use to find m, the number of minutes if the bill is $21.20?
A) 12.95m + 0.25 = 21.20
B) m + 0.25 + 12.95 = 21.20
C) 12.95 + 0.25m = 21.20
  • 12. One year, China consumed 4 times as much energy as Brazil. Which equation would you use to find x, the amount of energy Brazil used that year if China used 12,000 kilowatt-hours?
A) 4X = 12,000
B) 4 + 12,000 = X
C) 12,000 = 4 + X
  • 13. The atomic number of cadmium is half the atomic number of curium. The atomic number for cadmium is 48. Which equation would you use to find z, the atomic number of curium?
A) 48 + 2 = Z
B) 48/2 = Z
C) 48(2) = Z
  • 14. After you withdraw $40 from your checking account, the balance is $287. Which equation could you use to find x, the balance of your account before the withdraw?
A) X + 40 = 287
B) 287 - 40 = X
C) X - 40 = 287
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