NJSLA Mathematical Reasoning and Modeling Questions and Answers

Question 1

A community center rents its main hall for a flat fee of $150 plus an additional $8 per guest.
A school has a budget of exactly $550 for an awards banquet.
Which equation can be used to determine the maximum number of guests, `g`, that can attend?

Accepted Answer

150 + 8g = 550

Answer

150g + 8 = 550

Answer

150 + 8 = 550g

Answer

(150 + 8)g = 550

Question 2

An elevator has a maximum weight capacity of 2,000 pounds. A delivery person who weighs 180 pounds is using the elevator to transport identical boxes that each weigh 45 pounds. Which of the following inequalities correctly models the number of boxes, `b`, the delivery person can safely take in one trip?

Accepted Answer

180 + 45b ≤ 2000

Answer

45b - 180 ≤ 2000

Answer

180b + 45 ≤ 2000

Answer

180 + 45b > 2000

Question 3

The monthly cost, `C`, of a cell phone plan is modeled by the equation `C = 0.15d + 40`, where `d` represents the amount of data used in gigabytes (GB). What does the number 40 represent in this equation?

Accepted Answer

The fixed monthly base fee, regardless of data usage.

Answer

The cost for each gigabyte of data.

Answer

The total number of gigabytes included in the plan.

Answer

The maximum possible monthly charge.

Question 4

A recipe for a specific shade of paint requires mixing 3 parts blue paint with 5 parts yellow paint. A painter needs to make a total of 24 gallons of this paint. How many gallons of yellow paint does the painter need?

Accepted Answer

15 gallons

Answer

8 gallons

Answer

9 gallons

Answer

19 gallons

Question 5

A store is having a sale where everything is 20% off the original price, `p`. A customer also has a coupon for an additional $10 off the sale price. Which of the following expressions correctly represents the final price the customer will pay?

Accepted Answer

0.80p - 10

Answer

0.20p - 10

Answer

p - 0.20 - 10

Answer

0.80(p - 10)

Question 6

A rectangular garden has a length that is 4 feet longer than its width, `w`. The perimeter of the garden is 56 feet. What is the area of the garden in square feet?

Accepted Answer

192 sq ft

Answer

180 sq ft

Answer

168 sq ft

Answer

560 sq ft