NJSLA Solving Multi-Step Math Problems 5

Question 1

A sporting goods store buys helmets for $32 each and sells them at a 75% markup. If the store sold 15 helmets this week, what was the total revenue from helmet sales?

Accepted Answer

$840

Answer

Selling price = $32 × 1.75 = $56; total revenue = 15 × $56 = $840.

Question 2

A town's population was 45,000 in 2020. It grew by 4% in 2021 and then by 5% in 2022. What was the population at the end of 2022?

Accepted Answer

49,140

Answer

After 2021: 45,000 × 1.04 = 46,800; after 2022: 46,800 × 1.05 = 49,140.

Question 3

A rope is 7.2 meters long. It is cut into 3 equal pieces, and then one of those pieces is cut in half. What is the length of the shortest piece?

Accepted Answer

1.2 meters

Answer

Each of the 3 equal pieces = 7.2 ÷ 3 = 2.4 meters; one piece cut in half = 2.4 ÷ 2 = 1.2 meters.

Question 4

A library charges $0.25 per day for overdue books with a maximum fine of $5.00 per book. If Emma returns 3 books that are each 12 days overdue, how much does she owe?

Accepted Answer

$9.00

Answer

Fine per book = 12 × $0.25 = $3.00, which is under the $5.00 cap; total = 3 × $3.00 = $9.00.

Question 5

A triangle has a perimeter of 54 cm. The longest side is twice the shortest side, and the third side is 6 cm longer than the shortest side. What is the length of the longest side?

Accepted Answer

24 cm

Answer

Let shortest side = x; then 2x + (x + 6) + x = 54; 4x + 6 = 54; 4x = 48; x = 12; longest side = 2 × 12 = 24 cm.

NJSLA Exam Practice Test

NJSLA Exam Practice Test

NJSLA Solving Multi-Step Math Problems 5