Unit Test Review - Linear Functions | Attempts: 180

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| By Bmanaskie

Bmanaskie

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Quizzes Created: 1 | Total Attempts: 180

Questions: 12 | Attempts: 180 | Updated: Jan 12, 2025

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Unit Test Review - Linear Functions - Quiz

Take this quiz to help you review for your test Friday 9/28!

Questions and Answers

1.

Given: f(x) = 3x - 2 Find f(0)
- A.
  
  -2
- B.
  
  -1
- C.
  
  0
- D.
  
  2
Correct Answer
A. -2

Explanation
substitute in zero for x and evaluate the right side of the equation

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1
2.

Given: f(x) = 3x - 2 Find x if f(x) = 7
- A.
  
  7
- B.
  
  1
- C.
  
  3
- D.
  
  5
Correct Answer
C. 3

Explanation
Start with 7= 3x - 2 and solve for x.

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1
3.

Translate the following statement into a coordinate point: h(3) = -1
- A.
  
  (-1, 3)
- B.
  
  (3, -1)
- C.
  
  (1, 3)
- D.
  
  (3, 1)
Correct Answer
B. (3, -1)

Explanation
the quantity inside the parentheses is always the x value

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4.

True or False: The relation shown above is a function.
- A.
  
  True
- B.
  
  False
Correct Answer
A. True

Explanation
It passes the vertical line test. There is really only one y value at x = 2 because of the "hole" in the graph.

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5.

What is f(1)?
- A.
  
  1
- B.
  
  2
- C.
  
  3
- D.
  
  4
Correct Answer
C. 3
6.

What is the value of x when f(x) = 3?
- A.
  
  1
- B.
  
  2
- C.
  
  3
- D.
  
  Both a and c are correct
Correct Answer
D. Both a and c are correct

Explanation
The value of x when f(x) = 3 can be either 1 or 3. This is because "Both a and c are correct" implies that both options 1 and 3 are correct answers. Therefore, either 1 or 3 can be the value of x that satisfies the equation f(x) = 3.

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7.

What is the domain of the relation shown above?
- A.
  
  [1, 3]
- B.
  
  (1, 3)
- C.
  
  [1, 2) U (2, 3]
- D.
  
  {1} U (2, 3]
Correct Answer
A. [1, 3]

Explanation
The domain of a relation refers to the set of all possible input values or x-values. In this case, the relation is shown to have values ranging from 1 to 3, inclusive of both endpoints. Therefore, the correct answer is [1, 3].

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8.

Find an equation of a linear function given g(0) = 5 and g(-2) = 4.
- A.
  
  G(x) = -2x + 5
- B.
  
  G(x) = 4x
- C.
- D.
Correct Answer
D.

Explanation
Take the points (0, 5) and (-2, 4) and find the slope. Then you can substitute into the point-slope formula using one of the points OR the slope-intercept formula since you can see the first point is the y-intercept.

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9.

Lia joins an art club that has an enrollment fee of $100 and costs $20 per month. Which equation correctly describes this situation with cost as a function of months?
- A.
  
  C(m) = 100m + 20
- B.
  
  C(m) = 20m + 100
- C.
  
  M(c) = 100c + 20
- D.
  
  M(c)= 20c + 100
Correct Answer
B. C(m) = 20m + 100

Explanation
The equation C(m) = 20m + 100 correctly describes the situation with cost as a function of months. The variable m represents the number of months, and the equation shows that the total cost C is determined by multiplying the number of months by 20 (the monthly cost) and adding the enrollment fee of $100.

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10.

Which equation correctly represents the linear function shown?
- A.
  
  Y = 2x
- B.
  
  Y = 2x + 1
- C.
  
  Y = x + 1
- D.
  
  Y = x
Correct Answer
A. Y = 2x

Explanation
Since the graph goes through the origin you know the y-intercept is zero. Then you can see it goes up 2, and right 1, to the point (1, 2) giving you a slope of 2/1 which is equal to 2.

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11.

Maddie's theater company put on a show and sold 500 tickets to the show. Floor seats cost $10 and balcony seats cost $5. Total ticket sales were $4500. Set up a system of equations and solve it to find the number of floor seats. Your answer should just be a number.

Correct Answer
400

Explanation
Your system of equations should be f + b = 500 and 10f + 5b = 4500.

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12.

Maddie's theater company put on a show and sold 500 tickets to the show. Floor seats cost $10 and balcony seats cost $5. Total ticket sales were $4500. Set up a system of equations and solve it to find the number of balcony seats. Your answer should just be a number.

Correct Answer
100

Explanation
Let's assume the number of floor seats sold is F and the number of balcony seats sold is B. The total number of tickets sold is 500, so we have the equation F + B = 500.

The price of each floor seat is $10, so the total revenue from floor seats is 10F. Similarly, the price of each balcony seat is $5, so the total revenue from balcony seats is 5B.

The total ticket sales were $4500, so we have the equation 10F + 5B = 4500.

By solving the system of equations, we can find the number of balcony seats, which is 100.

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Current Version
Jan 12, 2025

Quiz Edited by
ProProfs Editorial Team
Sep 26, 2012

Quiz Created by
Bmanaskie

Unit Test Review - Linear Functions

Given: f(x) = 3x - 2 Find f(0)

Given: f(x) = 3x - 2 Find x if f(x) = 7

Translate the following statement into a coordinate point: h(3) = -1

True or False: The relation shown above is a function.

What is f(1)?

What is the value of x when f(x) = 3?

What is the domain of the relation shown above?

Find an equation of a linear function given g(0) = 5 and g(-2) = 4.

Lia joins an art club that has an enrollment fee of $100 and costs $20 per month. Which equation correctly describes this situation with cost as a function of months?

Which equation correctly represents the linear function shown?

Maddie's theater company put on a show and sold 500 tickets to the show. Floor seats cost $10 and balcony seats cost $5. Total ticket sales were $4500. Set up a system of equations and solve it to find the number of floor seats. Your answer should just be a number.

Maddie's theater company put on a show and sold 500 tickets to the show. Floor seats cost $10 and balcony seats cost $5. Total ticket sales were $4500. Set up a system of equations and solve it to find the number of balcony seats. Your answer should just be a number.