Question

7. A fitness center stores medicine balls in cube-shaped bins. One bin has a volume of 343
cubic feet. What is the length of one side of the bin?
Answer: _______________________________________________
8. A square exercise mat in the gym covers an area of 196 square inches. What is the length
of one side of the mat?
Answer: _______________________________________________
9. A coach builds a cube-shaped box to hold training equipment. The box has a volume of
125 cubic inches. What is the length of one edge of the box?
Answer: _______________________________________________
10. Two numbers add up to 18. Their difference is 6. Write a system of equations and
determine the two numbers.
Answer: _______________________________________________
11. A school sold tickets to a basketball game. Student tickets cost $3 and adult tickets cost
$5. A total of 60 tickets were sold and the school collected $240. How many student tickets
and adult tickets were sold?
Answer: _______________________________________________
12. A farmer has chickens and goats in a field. There are 20 animals total and 64 legs
altogether. Chickens have 2 legs and goats have 4 legs. How many chickens and goats are
there?
Answer: _______________________________________________
13. Two friends are saving money for new gym shoes. Alicia starts with $10 and saves $4
each week. Brandon starts with $2 and saves $6 each week. After how many weeks will they
have the same amount of money?
Answer: _______________________________________________
14. Two gym membership plans charge different prices. Plan A costs $30 plus $5 per visit.
Plan B costs $10 plus $8 per visit. After how many visits will both plans cost the same
amount?

Answer 1

7. Side = cube root of 343 = 7 feet.

8. Side = sqrt(196) = 14 inches.

9. Edge = cube root of 125 = 5 inches.

10. Let the numbers be x and y.
x + y = 18
x − y = 6
Solve: x = 12, y = 6.

11. Let s = student tickets, a = adult tickets.
s + a = 60
3s + 5a = 240
Solve: a = 30, s = 30.

12. Let c = chickens, g = goats.
c + g = 20
2c + 4g = 64
Solve: g = 12, c = 8.

13. Alicia: 10 + 4w. Brandon: 2 + 6w.
10 + 4w = 2 + 6w → w = 4 weeks.

14. Plan A: 30 + 5v. Plan B: 10 + 8v.
30 + 5v = 10 + 8v → v = 20/3 = 6 2/3 visits (i.e., they cost the same after 20/3 visits).