Question 1

Marco is shopping for a new game system and games. System A costs $295 plus $19.95 per game. System B costs $195 plus $24.95 per game. Which system of equations could be used to determine how many games he would have to buy for the two systems to cost the same? Let s represent the total cost of the game system and games and g, the number of games purchased.

1. s = 295 + 24.95g
   s = 195 + 19.95g


2. s = 295 + 19.95g
   s = 195 + 24.95g


3. s = 295 − 19.95g
   s = 195 − 24.95g


4. s = 295g + 19.95
   s = 195g + 24.95

Question 2

A student works at Better Buy and earns $30 for each computer sold. The store's manager earns a base salary of $2100 per month plus $20 for each computer sold. Write a system of equations to determine the number of computers that the student would need to sell in a month to make the same salary as the manager. Let s represent the salary and c represent the number of computers sold.

1. s = 2100 + 30c
   s = 30c


2. s = 2100 − 30c
   s = 30c


3. s = 2100c + 20
   s = 30c


4. s = 2100 + 20c
   s = 30c

Question 3

Angela is starting college in the fall. She goes to the campus bookstore to buy books for her classes. New books, n, cost $65 each and used book, u, cost $30 each. Angela purchased a total of 8 books and spent a total of $310. Which system of equations could be used to determine the number of new and used books she purchased?

1. 30n + 65u = 8
   n + u = 310


2. 30n + 65u = 310
   n + u = 8


3. 65n + 30u = 8
   n + u = 310


4. 65n + 30u = 310
   n + u = 8

Question 4

As a fundraiser, the student council plans to sell tickets to a dance. The tickets will cost $9 if purchased early and $12 if purchased at the door. Due to limited space, the student council can sell no more than 300 tickets and hope to raise more than $2700. Let e represent the number of tickets purchased early and d represent the number of tickets purchased at the door. Write a system of inequalities in standard form to represent this situation.

1. d + e ≤ 300
   9d + 12e ≥ 2700


2. d + e ≥ 300
   9d + 12e ≥ 2700


3. d + e ≤ 300
   9d + 12e ≤ 2700


4. d + e ≥ 300
   9d + 12e ≤ 2700

Question 5

An athlete is training during the summer. He walks at a rate of 6 miles per hour and bicycles at a rate of 18 miles per hour. His coach recommends that he train for no more than 4 hours per day and cover a minimum of 50 miles. Let w represent the number of hours the athlete walks and b represent the number of hours the athlete bicycles in a day. Write a system of inequalities than can be used by the athlete to determine the possible combinations of hours spent walking and bicycling.

1. w + b ≥ 4
   6w + 18b ≤ 50


2. w + b ≤ 4
   6w + 18b ≤ 50


3. w + b ≥ 4
   6w + 18b ≥ 50


4. w + b ≤ 4
   6w + 18b ≥ 50

Question 6

Selected values from a system of equations are shown in the table below.

Which line of the table shows the solution to the system?

Question 7

A local health club offers two different membership plans. Plan A costs $30 plus $10 per month. Plan B costs $20 per month. The table below shows the total cost of each plan for 6 months.

Which of the following is NOT a true statement about the two membership plans?