Log in
Sign up for FREE
arrow_back
Library

BCS M1FS Final - Unit 3 Question Bank

star
star
star
star
star
Last updated over 1 year ago
19 questions
1
NC.M1.F-IF.9
1
NC.M1.A-REI.6
NC.M3.A-CED.3
1
NC.M1.A-CED.3
1
NC.M1.A-REI.6
1
NC.M1.A-REI.6
1
NC.M1.A-REI.12
1
NC.M1.A-REI.12
1
NC.M1.A-REI.10
1
NC.M1.A-REI.6
1
NC.M1.F-IF.7
1
NC.M1.F-BF.1.a
1
NC.M1.F-IF.9
1
NC.M1.A-CED.3
Required
1
NC.M1.A-REI.6
Required
1
NC.M1.A-REI.6
Required
1
NC.M1.A-REI.6
Required
1
NC.M1.A-REI.11
Required
1
NC.M1.A-APR.1
Required
1
NC.M1.A-CED.2
Question 1
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?

Question 2
2.

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?

Question 3
3.
Other Answer Choices:
150
30
Question 4
4.

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

Question 5
5.

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

Question 6
6.

Question 7
7.

Question 8
8.

Question 9
9.

Question 10
10.

Question 11
11.

Question 12
12.

Question 13
13.

Question 14
14.

Question 15
15.

Question 16
16.

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?

Question 17
17.

Question 18
18.

Question 19
19.

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 ________
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:

2x + 3y < 12
2x + 3y \leq 12
2x+3y > 12
2x+3y \geq 12
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.
If no adults attended the movie, 28 children went to the movie.
If 10 adults attended, 5 children were at the movie.
If 25 people were at the movies, 4 were adults and 21 were children.
If 8 adults attended, 20 total tickets were sold.
If no children were at the movie, 16 adults attended.
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?
Kiran tutored 13 different students
Kiran tutored 10 hours of middle school math and 3 hours of high school math
Kiran tutored 3 hours of middle school math and 10 hours of high school math
Kiran made $40.50 an hour for tutoring math, for a total of $300.00
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?
Four slices of pizza costs $5.00
A slice of pizza with four toppings costs $2.00
A slice of pizza with no toppings costs $3.00
Every topping costs an additional $1.00
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 ?
c = 3.5t
c = 3 + 0.5t
c = 0.5 + 3t
c = 3 + 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?
Candle B burns slower than Candle A.
Candle B was taller than Candle A after burning for 6 hours.
Candle A was 9 inches taller than Candle B before either were lit.
Candle B was taller than Candle A before either were lit.
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?
\begin{cases} 4x-3y=-27\\ 2x+4y=12 \end{cases}
\begin{cases} 2x+y=-1\\ x+2y=7 \end{cases}
\begin{cases} 3x+2y=1\\ 6x-4y=2 \end{cases}
\begin{cases}5x-3y=12\\ 2x+3y=18 \end{cases}
Does the system have one, none, or infinite solutions?
8x+4y=12
y=-2x+3
infinitely many solutions
one solution, (3,0)
no solution
one solution, (0,3)
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?
5 days
7 days
35 days
49 days
The perimeter of the triangle below is 8x – 6.

Write an expression that represents the length of \overline{QR}
4x
4x - 6
12x - 6
6x
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?