# Unit Test Review - Linear Functions

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Questions: 12 | Attempts: 177

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• 1.

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

• A.

-2

• B.

-1

• C.

0

• D.

2

A. -2
Explanation
substitute in zero for x and evaluate the right side of the equation

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• 2.

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

• A.

7

• B.

1

• C.

3

• D.

5

C. 3
Explanation

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• 3.

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

• A.

(-1, 3)

• B.

(3, -1)

• C.

(1, 3)

• D.

(3, 1)

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

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.

• A.

1

• B.

2

• C.

3

• D.

4

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

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]

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.
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

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

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.

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.

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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• Sep 26, 2012
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