BCS M1FS Final - Unit 3 Question Bank

Diego is emptying two pools at the Asheville recreation park. The first pool’s remaining water in gallons can be modeled using the linear model f(x)= 2300 - 32x, where x represents the time in minutes. The second pool’s remaining water in gallons can be modeled using the function g(x) shown in the table below:

How much more water does first pool hold than the second pool?

Clare shopped at the Mast General Store for a camping trip.

• She spent $131 on hiking socks and dry bags.

• Hiking socks cost $15 and dry bags cost $28.

• She bought a total of 7 items.

How many more pairs of hiking socks did she buy than dry bags?

Solve the system of equations to find the value of x - y:

5x + 7y =1

x = -2y + 2

Solve the system of equations to find the value of x + y :

5x + 2y =48

2x + 2y = 21

Which graph has a shaded region that represents the solution to the system of inequalities?

4x-6y \leq 24

y < 6-3x

Which of the following is the inequality for the graph shown below:

Movie theater tickets cost $14.00 for adults and $8.00 for children. The theater's income from one movie showing on Monday afternoon was $224.00. The equation to represent the income based on the number of adult tickets sold, x, and children tickets sold, y, is 14x + 8y=224, and is graphed below.

Select ALL of the statements that are true.

Kiran tutors math in the afternoons for extra money.

• He gets paid $15.00 an hour for tutoring middle school math and $25.50 an hour for tutoring high school math.

• Last month, Kiran tutored for 13 hours and made a total of $300.00.

The system below can be used to model the number of hours he tutored middle school (x) and high school (y ) math.

15x + 25.50y = 300

x + y = 13

What is the meaning of the solution to the system of linear equations?

Standard Pizza company sells slices of pizza. Toppings can be added for an additional cost. The graph below shows the cost of a slice of pizza based on the number of toppings.

Which of the following statements is true?

Standard Pizza company sells slices of pizza, and toppings can be added for an additional cost. The graph below shows the cost of a slice of pizza based on the number of toppings.

Which linear equation represents the cost of a slice of pizza, c, priced on the number of toppings, t ?

The height measured in inches of candle A can be modeled using the function A(x) = -0.25x + 5 after x hours of being lit. The height of candle B was recorded in the table below:

Which of the following statements are true?

Elena buys 4 hotdogs and 2 drinks for $8.00. Carol buys 3 hotdogs and 1 drink for $5.50. Which system below represents the situation if x is the cost for a hotdog and y is the cost for a drink?

For which system is (-3,5) the solution?

Does the system have one, none, or infinite solutions?

8x+4y=12

y=-2x+3

Mrs. Adams bought cans of pears and cans of mixed fruit.

• She bought a total of 7 cans at a cost of $21.50.

• Each can of pears cost $3.20, and each can of mixed fruit cost $2.90.

How many cans of mixed fruit did Mrs. Adams purchase?

The function y = 3x + 42 models the average number of dogs at an animal shelter, where x is the number of days after July 1. The function y = 4x + 7 models the average number of cats at the animal shelter, where x is the number of days after July 1. After how many days is the average number of cats and dogs at the shelter the same?

The perimeter of the triangle below is 8x – 6.

Write an expression that represents the length of \overline{QR}

The Tarwheels roller rink charges $2.50 to rent skates. The rink charges $3.50 per hour, x, of skating. Which graph best models this situation, where y is the total cost to go skating?