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BCS M1FS Final - Unit 3 Question Bank

Last updated 11 months ago
19 questions
1

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?

1

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?

1
Noah sells hotdogs and nachos at the Asheville Tourists baseball game as a walking vendor.
  • Each hotdog costs $2.00 and each plate of nachos costs $3.50.
  • Noah’s goal is to make at least $150.00 each time he walks through the crowd.
  • He can carry a maximum of 30 items at a time.
Write a system of linear inequalities that models these constraints where x represents the number of hotdogs sold and y represents the number of plates of nachos sold:

________ + ________ \leq _______
________ + ________ \geq ________
Other Answer Choices:
150
30
1

Solve the system of equations to find the value of x - y:
5x + 7y =1
x = -2y + 2

1

Solve the system of equations to find the value of x + y :
5x + 2y =48
2x + 2y = 21

1

Which graph has a shaded region that represents the solution to the system of inequalities?
4x-6y \leq 24
y < 6-3x

1

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

1

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.

1

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?

1

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?

1

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 ?

1

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?

1

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?

Required
1

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

Required
1

Does the system have one, none, or infinite solutions?
8x+4y=12
y=-2x+3

Required
1

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?

Required
1

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?

Required
1

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

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

Required
1

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?