Quiz about Linear Functions Review - Unit 4

Question 1

What is the standard form of a linear function?

Accepted Answer

$$f(x)=mx+b$$

Answer

$$f(x)=mx^2+b$$

Answer

$$f(x)=\frac{m}{x}+b$$

Answer

$$f(x)=m+bx$$

Question 2

What does the 'm' in the linear function f(x) = mx + b represent?

Accepted Answer

slope

Accepted Answer

average rate of change

Answer

y-intercept

Answer

x-values

Question 3

What does the 'y' in the linear equation y = mx + b represent?

Accepted Answer

y-values

Answer

y-intercept

Answer

x-values

Answer

slope

Question 4

What does the 'b' in the linear function f(x) = mx + b represent?

Accepted Answer

y-intercept

Answer

slope

Answer

x-values

Answer

y-values

Question 5

What does the 'x' in the linear equation y = mx + b represent?

Accepted Answer

x-values

Answer

slope

Answer

y-intercept

Answer

y-values

Question 6

If the function $$f(x)=\frac{2}{3}x+4$$ is graphed, what point must lie on the graph based on the calculation of $$f(9)$$ ?

Accepted Answer

(9, 10)

Answer

(9, 6)

Answer

(9, 14)

Answer

(9, 8)

Question 7

What is the slope of the linear function $$y=-\frac{1}{2}x+7$$ ?

Accepted Answer

$$-\frac{1}{2}$$

Answer

$$\frac{1}{2}$$

Answer

$$-\frac{1}{2}x$$

Answer

$$7$$

Question 8

What is the y-intercept of the linear function $$y=-\frac{1}{2}x+7$$ ?

Accepted Answer

$$7$$

Answer

$$-\frac{1}{2}$$

Answer

$$\frac{1}{2}$$

Answer

$$-7$$

Question 9

Which point below must lie on the graph of the linear function $$f(x)=7x+2$$ ?

Accepted Answer

(0, 2)

Answer

(0, 7)

Answer

(2, 0)

Answer

(7, 2)

Question 10

For the function $$f(x)=3x+2$$ , the average rate of change will be the same for any interval you choose. Is this statement true or false?

Accepted Answer

True

Answer

False

Question 11

What type of slope is represented by the equation $$y=\frac{2}{3}x+3$$ ?

Accepted Answer

Positive

Answer

Negative

Answer

Zero

Answer

Undefined

Question 12

Which equation represents a line with a y-intercept of 5?

Accepted Answer

$$y=x+5$$

Answer

$$y=\frac{2}{3}x+3$$

Answer

$$y=-2x-7$$

Answer

$$y=5x-3$$

Question 13

What is the slope of the line represented by the equation $$3y-3x=15$$ when rearranged into $$y=mx+b$$ form?

Accepted Answer

1

Answer

-1

Answer

3

Answer

-3

Question 14

What is the y-intercept of the line represented by the equation $$2y+5x=-8$$ when rearranged into $$y=mx+b$$ form?

Accepted Answer

-4

Answer

4

Answer

-8

Answer

8

Question 15

What is the slope of the line represented by the equation $$x-3y=6$$ when rearranged into $$y=mx+b$$ form?

Accepted Answer

$$\frac{1}{3}$$

Answer

$$-\frac{1}{3}$$

Answer

$$3$$

Answer

$$-3$$

Question 16

Which of the following is true about the linear function $$2y+x=18$$ ?

Accepted Answer

It has a slope of $$-\frac{1}{2}$$ and a y-intercept of 9.

Answer

It has a slope of 2 and a y-intercept of 18.

Answer

It has a slope of -2 and a y-intercept of 9.

Answer

It has a slope of $$\frac{1}{2}$$ and a y-intercept of 18.

Question 17

What is the slope-intercept form of a linear function?

Accepted Answer

$$y=mx+b$$

Answer

$$y=bx+m$$

Answer

$$y=\frac{m}{b}+x$$

Answer

$$y=\frac{b}{m}+x$$

Question 18

In the slope-intercept form of a linear function, what do the parameters 'm' and 'b' represent?

Accepted Answer

m = average rate of change (slope) and b = y-intercept

Answer

m = y-intercept and b = average rate of change (slope)

Answer

m = maximum value and b = minimum value

Answer

m = median value and b = mode value

Question 19

If the graph of a linear function passes through the points (2, 4) and (8, 2), what is the slope?

Accepted Answer

$$m=-\frac{1}{3}$$

Answer

$$m=\frac{1}{3}$$

Answer

$$m=3$$

Answer

$$m=-3$$

Question 20

What type of function represents the distance the car is from Chicago as a function of time?

Accepted Answer

Linear function

Answer

Quadratic function

Answer

Exponential function

Answer

Logarithmic function

Question 21

What is the slope of the line in graph?

Accepted Answer

$$\frac{4}{3}$$

Answer

$$-1$$

Answer

$$\frac{3}{4}$$

Answer

$$-\frac{4}{3}$$

Question 22

What is the y-intercept of the line in graph?

Accepted Answer

-1

Answer

2

Answer

-2

Answer

$$\frac{4}{3}$$

Question 23

What is the equation of the line in graph in slope-intercept form?

Accepted Answer

$$y=\frac{4}{3}x-1$$

Answer

$$y=2x-1$$

Answer

$$y=\frac{3}{4}x+1$$

Answer

$$y=mx+b$$

Question 24

What is the slope of the line in graph?

Accepted Answer

$$-\frac{3}{4}$$

Answer

$$-\frac{4}{3}$$

Answer

$$5$$

Answer

$$\frac{3}{4}$$

Question 25

What is the y-intercept of the line in the graph?

Accepted Answer

5

Answer

$$-\frac{3}{4}$$

Answer

-5

Answer

10

Question 26

What is the equation of the line in the graph in slope-intercept form?

Accepted Answer

$$y=-\frac{3}{4}x+5$$

Answer

$$y=\frac{3}{4}x+5$$

Answer

$$y=-5x-\frac{3}{4}$$

Answer

$$y=x-5$$

Question 27

What is the slope of the line that passes through the points (1, 7) and (4, 22) ?

Accepted Answer

$$m=5$$

Answer

$$b=2$$

Answer

$$m=\frac{1}{5}$$

Answer

$$m=-5$$

Question 28

If snowfall is coming down at a steady rate and the depth of snow after 4 hours is 9 inches and after 8 hours it is 14 inches, express this information as two coordinate pairs, (h, d), where h is the number of hours and d is the depth of snow.

Accepted Answer

(4, 9) and (8, 14)

Answer

(9, 4) and (14, 8)

Answer

(4, 14) and (8, 9)

Answer

(14, 4) and (9, 8)

Question 29

Determine the slope (average rate of change) for the linear function given in the table.

Accepted Answer

$$\frac{2}{1}$$

Accepted Answer

2

Answer

1

Answer

-2

Question 30

What is the value of $$f(20)$$ , when $$f\left(x\right)=5x-12$$

Accepted Answer

88

Answer

-12

Answer

8

Answer

7

Question 31

Which of the four functions has the largest y-intercept?

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 32

Which function(s) has the largest slope?

Accepted Answer

2

Accepted Answer

3

Answer

1

Answer

4

Question 33

Values of a linear function are shown in the table. Which of the following is the slope of the linear function?

Accepted Answer

undefined

Answer

1

Answer

3

Answer

zero

Question 34

Which of the following values is the output for the function f(x) when x = 5?

Accepted Answer

-0.5

Answer

-5.5

Answer

-7

Answer

0

Question 35

Give a formula for the height, h, as a linear function of the time, t, it has been in the air.

Accepted Answer

$$h(t)=15t+27$$

Answer

$$h(t)=27t+15$$

Answer

$$h(t)=t+27$$

Answer

$$h(t)=27t$$

Question 36

What are the two parameters of a linear model in the form y = mx + b?

Accepted Answer

The slope, m, and the y-intercept, b

Answer

The x-intercept, a, and the y-intercept, b

Answer

The slope, a, and the x-intercept, m

Answer

The coefficient, x, and the constant, y

Question 37

What does the slope, m, in a linear model indicate?

Accepted Answer

How much we move constantly

Answer

How much we start with

Answer

The output's starting value at x = 0

Answer

The domain of the function

Linear Functions Review - Unit 4

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