NJSLA Solving Multi-Step Math Problems 3

Question 1

A train travels at 60 mph for 2.5 hours, then at 80 mph for 1.5 hours. What is the total distance traveled?

Accepted Answer

270 miles

Answer

First leg: 60 × 2.5 = 150 miles; second leg: 80 × 1.5 = 120 miles; total = 150 + 120 = 270 miles.

Question 2

A shirt originally costs $45. It is on sale for 20% off, and then an additional 10% coupon is applied to the sale price. What is the final price?

Accepted Answer

$32.40

Answer

After 20% off: $45 × 0.80 = $36; after additional 10% off: $36 × 0.90 = $32.40.

Question 3

A tank is being filled by two pipes. Pipe A fills 45 gallons per minute and Pipe B fills 30 gallons per minute. The tank holds 900 gallons and is currently 40% full. How many minutes will it take to fill the tank completely?

Accepted Answer

7.2 minutes

Answer

40% of 900 = 360 gallons already filled; remaining = 540 gallons; combined rate = 45 + 30 = 75 gal/min; time = 540 ÷ 75 = 7.2 minutes.

Question 4

David scored 78, 85, and 91 on three tests. What score does he need on his fourth test to have an average of exactly 85?

Accepted Answer

86

Answer

Target total for 4 tests = 85 × 4 = 340; current total = 78 + 85 + 91 = 254; needed score = 340 − 254 = 86.

Question 5

A farmer plants corn in ⅔ of his 180-acre field and soybeans in ¼ of the remaining land. How many acres are planted with soybeans?

Accepted Answer

15 acres

Answer

Corn uses ⅔ × 180 = 120 acres; remaining = 60 acres; soybeans = ¼ × 60 = 15 acres.

NJSLA Exam Practice Test

NJSLA Exam Practice Test

NJSLA Solving Multi-Step Math Problems 3