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Question 1(Multiple Choice Worth 1 points)

(01.06 MC)

An equation is shown:

−np − 4 = 2(c − 3)

Which of the following solves for n?

n = the quantity 2 times c minus 2 all over p
n = the quantity 2 times c minus 10 all over p
n = the quantity 2 times c minus 2 all over negative p
n = the quantity 2 times c minus 10 all over negative p
Question 2(Multiple Choice Worth 1 points)
(01.02 MC)

The equation 3(2x + 2) = 3x − 15 models the change in water level in a lake in one month. Solve for x, which is change in height in inches.

x = −7
x equals negative seventeen thirds
x = 3
x = 7
Question 3(Multiple Choice Worth 1 points)
(01.03 MC)

A pilot was scheduled to depart at 4:00 p.m., but due to air traffic, her departure has been delayed by 10 minutes. Air traffic control approved a new flight plan that will allow her to arrive three times faster than she calculated in her original flight plan. Let x represent the time, in minutes, of her original flight. Create an equation that can be used to predict the number of minutes after 4:00 p.m. she will arrive at her destination.

y equals one third times x plus 10
y = 3x + 10
y equals one third times x minus 10
y = 3x − 10
Question 4(Multiple Choice Worth 1 points)
(02.02 MC)

The total cost f(x), in dollars, for renting a bike for x hours is shown:

f(x) = 10 + 20x

What does f(10) represent?

The number of miles the bike can travel for a cost of $10
The number of miles the bike travels in 10 hours
The number of hours the bike can be rented for a cost of $10
The number of dollars it costs to rent the bike for 10 hours
Question 5(Multiple Choice Worth 1 points)
(02.01 MC)

Graph g(x) = −3x + 9 and identify its x-intercept.

(0, 3)
(0, 9)
(3, 0)
(9, 0)
Question 6(Multiple Choice Worth 1 points)
(01.02 MC)

The equation the quantity x plus 33 end quantity over 4 equals 3 times x models the workload of a class project, where x is the number of hours each student must contribute. How many hours does each student work on the project?

2 hours
3 hours
7 hours
11 hours
Question 7(Multiple Choice Worth 1 points)
(01.01 LC)

Megan purchased a new gadget for her technology hobby. She plans to sell it sometime in the future; however, its value depreciates monthly. The expression shows the depreciated sales value of the gadget:

2,020 − 22m

What does the variable of the expression represent?

The monthly depreciation value of the gadget
The amount of money Megan will get when she sells the gadget
The number of months Megan will wait to sell the gadget
The original value of the gadget
Question 8(Multiple Choice Worth 1 points)
(01.05 MC)

A contractor can spend at most $250 a day on operating costs and payroll. It costs $45 each day to operate the forklift and $60 a day for each crew member. Write an inequality to represent the contractor's budget for the day.

60x + 45 ≥ 250
60x + 45 ≤ 250
60 − 45x ≥ 250
60 − 45x ≤ 250
Question 9(Multiple Choice Worth 1 points)
(01.06 MC)

Solve the equation 4x + 7y = 11 for y.

y equals the quantity 4 times x plus 11 end quantity over 7
y equals the quantity negative 4 times x plus 11 end quantity over 7
y equals negative 4 times x plus 11 over 7
y equals negative 4 over 7 times x plus 11
Question 10(Multiple Choice Worth 1 points)
(01.04 LC)

Solve for x: x − 2 > 2x + 12.

x > 14
x < 14
x > −14
x < −14
Question 11(Multiple Choice Worth 1 points)
(01.05 MC)

A zookeeper is monitoring the population of penguins. The group needs to have exactly two times more males than females for the population to thrive. The zoo only has room for a maximum of 10 female penguins. Let x represent the number of female penguins and y represent the number of male penguins. Write the constraints that represent the possible number of male and female penguins that can live in a thriving population at the zoo.

0 < x ≤ 10 and 0 < y ≤ 20
x > 0 and y > 0
0 < x ≤ 10 and y > 20
x > 0 and y < 10
Question 12(Multiple Choice Worth 1 points)
(02.03 LC)

Choose the graph that correctly corresponds to the equation y = 4.

graph a horizontal line through the point 0, 4
graph of a vertical line through the point 4, 0
graph a horizontal line through the point 0, negative 4
graph of a vertical line through the point negative 4, 0
Question 13(Multiple Choice Worth 1 points)
(02.01 MC)

What are the vertex and range of y = |x + 3| + 2?

(0, 2); 2 < y < ∞
(0, 2); −∞ ≤ y < ∞
(−3, 2); 2 ≤ y < ∞
(−3, 2); −∞ ≤ y < ∞
Question 14(Multiple Choice Worth 1 points)
(01.06 LC)

Which equation is equivalent to the formula d = rt?

r equals d over t
r = dt
t equals r over d
t = dr
Question 15(Multiple Choice Worth 1 points)
(02.03 MC)

The graph represents the money collected at the movie theater on Saturday. Find the domain when the maximum number of people allowed in the movie theater is 30 people.

graph of y equals 2 times x plus 40 with x axis labeled Number of People and y axis labeled Amount of Money

0 ≤ y ≤ 30
40 ≤ x ≤ 100
0 ≤ x ≤ 30
40 ≤ y ≤ 100

1 answer

Here are the answers to your multiple-choice questions:

Question 1: An equation is shown: −np − 4 = 2(c − 3)

Which of the following solves for n?

  • Answer: n = the quantity 2 times c minus 10 all over negative p

Question 2: The equation 3(2x + 2) = 3x − 15 models the change in water level in a lake in one month. Solve for x.

  • Answer: x = -7

Question 3: A pilot was delayed by 10 minutes and can arrive three times faster than her original flight time, represented by x.

Create an equation to predict the time of arrival.

  • Answer: y = 3x + 10

Question 4: The total cost f(x), in dollars, for renting a bike for x hours is f(x) = 10 + 20x.

What does f(10) represent?

  • Answer: The number of dollars it costs to rent the bike for 10 hours

Question 5: Graph g(x) = −3x + 9 and identify its x-intercept.

  • Answer: (3, 0)

Question 6: The equation (x + 33)/4 = 3x models the workload of a class project.

How many hours does each student work?

  • Answer: 11 hours

Question 7: Megan's gadget depreciates with the expression 2020 − 22m.

What does the variable represent?

  • Answer: The number of months Megan will wait to sell the gadget

Question 8: A contractor can spend at most $250 daily. It costs $45 to operate the forklift and $60 for each crew member.

Write an inequality.

  • Answer: 60x + 45 ≤ 250

Question 9: Solve the equation 4x + 7y = 11 for y.

  • Answer: y equals the quantity negative 4 times x plus 11 all over 7

Question 10: Solve for x: x − 2 > 2x + 12.

  • Answer: x < −14

Question 11: A zookeeper needs male penguins to be twice the amount of female penguins.

Write constraints for the population.

  • Answer: 0 < x ≤ 10 and 0 < y ≤ 20

Question 12: Choose the graph that corresponds to the equation y = 4.

  • Answer: graph a horizontal line through the point 0, 4

Question 13: What are the vertex and range of y = |x + 3| + 2?

  • Answer: (−3, 2); 2 ≤ y < ∞

Question 14: Which equation is equivalent to the formula d = rt?

  • Answer: r equals d over t

Question 15: Find the domain when the maximum number of people allowed in the movie theater is 30.

  • Answer: 0 ≤ x ≤ 30

Feel free to reach out if you need further explanations or assistance!