Quiz about 8th Math Functions Review

Question 1

Which statement best explains why the graph relation is not a function?

Accepted Answer

There are points of the graph with the same x-coordinates but different y-coordinates.

Answer

The graphed relation is not a line.

Answer

There are infinitely many points on the graph.

Answer

The domain of the graph does not include all the real numbers.

Question 2

Which of the following is a graph of the function of x?

Accepted Answer

Question 3

Which of the following sets of ordered pairs represents a function?

Accepted Answer

Question 4

Which of the following relations is not a function?

Accepted Answer

Question 5

Which of these sets are also functions?

Accepted Answer

I and IV

Answer

I only

Answer

II and III

Answer

II, III, and IV

Question 6

Select all the tables that model functions.

Accepted Answer

Accepted Answer

Accepted Answer

Question 7

Which chart represents a function?

Accepted Answer

Question 8

Select the ordered pair that makes the relation in the table a function.

Accepted Answer

(0, 0)

Answer

(1, 5)

Answer

(2, 7)

Answer

(3, 3)

Question 9

Select the ordered pair that makes the relation a function.

Accepted Answer

(-3, 8)

Answer

(2, 7)

Answer

(0, 7)

Answer

(1, 8)

Question 10

Is Q a function?

Accepted Answer

Yes, because there is exactly one y-value for every x-value.

Answer

Yes, because there is exactly one x-value for every y-value.

Answer

No, because there is more than one x-value for some y-values.

Answer

No, because there is more than one y-value for every x-value.

Question 11

Is Q a function?

Accepted Answer

No, because there is more than one x-value for some y-values.

Answer

Yes, because there is exactly one y-value for every x-value.

Answer

Yes, because there is exactly one x-value for every y-value.

Answer

No, because there is more than one y-value for every x-value.

Question 12

Which graph best represents the equation y = 10 - 2x?

Accepted Answer

Question 13

The Semmes Library will raise funds by selling bumpers stickers. The equation p = 2s - 20 is used to calculate the profit the library earns (p) if a certain number of bumper stickers (s) are sold. Which table has values that correspond to the equation?

Accepted Answer

Question 14

Which equation represents a linear function?

Accepted Answer

$$y=2x-3$$

Answer

$$y=\frac{1}{x}$$

Answer

$$y=5x^3+8$$

Answer

$$y=x^2+2x+1$$

Question 15

Which represents a linear function?

Accepted Answer

$$y=\frac{1}{2}x+2$$

Answer

$$y=\frac{5}{x}$$

Answer

$$y=x^2-3$$

Answer

$$y=\left|x-1\right|$$

Question 16

Which of the following tables represents a linear relationship between x and y?

Accepted Answer

Question 17

If the coordinates from each table are graphed, which will form a linear pattern?

Accepted Answer

Question 18

What is the equation of the line that contains point (-1, 2) and has a slope of 2?

Accepted Answer

y = 2x + 4

Answer

y = 2x - 5

Answer

y = 2x - 4

Answer

y = 2x + 5

Question 19

What is the equation of the line that contains points (5, -4) and has a slope of 3?

Accepted Answer

y = 3x - 19

Answer

y = 3x + 19

Answer

y = 3x + 17

Answer

y = 3x - 17

Question 20

What is the equation of the line that contains points (-1, 1) and has a slope of 5?

Accepted Answer

y = 5x + 6

Answer

y = -5x - 4

Answer

y = -5x + 4

Answer

y = 5x - 6

Question 21

A flower shop charges $3 for a vase and $2 for each rose. Which equation can be used to determine the cost in dollars, y, if Jan buys x roses and a vase?

Accepted Answer

y = 2x + 3

Answer

x = 2y + 3

Answer

x = 3y + 2

Answer

y = 3x + 2

Question 22

A cellular phone company charges a base rate of $15 per month and $0.05 per minute, m. Which equation could be used to find the total monthly charge in dollars, c?

Accepted Answer

c = 0.05m + 15

Answer

c = 0.05m

Answer

c = 15 - 0.05m

Answer

c = 15m + 0.05

Question 23

Mr. Smith earns $75 a day plus $35 for each car he sells. If e is the amount he earned and c is the number of cars he sold, which expression below shows how much Mr. Smith will earn in a day?

Accepted Answer

e = 35c + 75

Answer

e = 60c + 75

Answer

e = 60c

Answer

e = 35c

Question 24

Which statement about the graph of y = 3x + 5 is correct?

Accepted Answer

The line passes through the ordered pair (0,5)(0,5) and has a slope of 3.

Answer

The line passes through the ordered pair (3,14)(3,14) and has a slope of 3/5.

Answer

The line passes through the ordered pair (3,0)(3,0) and has a slope of 5.

Answer

The line passes through the ordered pair (5,20)(5,20) and has a slope of 5/3.

Question 25

WhAnnie was given two pieces of information and must write the equation of the line. She knows the line crosses the y-axis at the point (0, 6) and has a slope of 7. What is the equation of the line?

Accepted Answer

y = 7x + 6

Answer

y = 6x + 7

Answer

y = -6x + 7

Answer

y = 7x - 6

Question 26

A phone company offers a mobile phone plan for a monthly fee $19.95 plus $0.05 for each minute used during the month. Which equation best represents the cost, y, for one month when x minutes are used?

Accepted Answer

y = 0.05x + 19.95

Answer

y = 0.05x

Answer

y = 19.95x

Answer

y = 19.95x + 0.05

Question 27

Which equation represents a line with a slope of $$\frac{5}{2}$$ and a y-intercept of (0, -4)?

Accepted Answer

$$y=\frac{5}{2}x-4$$

Answer

$$y=-4x+\frac{5}{2}$$

Answer

$$y=4x-\frac{5}{2}$$

Answer

$$y=-\frac{5}{2}x+4$$

Question 28

Which equation represents the line that has a slope of -2 and passes through the point (6, 5)?

Accepted Answer

y = -2x + 17

Answer

y = -2x - 17

Answer

y = -2x - 16

Answer

y = -2x + 16

Question 29

Which table corresponds to the function y = -3x + 11?

Accepted Answer

Question 30

Select the appropriate equation.

Accepted Answer

$$y=\frac{1}{3}x+2$$

Answer

$$y=\frac{1}{2}x+1$$

Answer

$$y=\frac{2}{3}x+1$$

Answer

$$y=\frac{4}{3}x-7$$

Question 31

Which table best represents the relationship between x and y in the graph?

Accepted Answer

Question 32

Which graph represents a line with a y-intercept of -2, passing through the point (1,-1)?

Accepted Answer

Question 33

Which graph represents a line with a y-intercept of 3, passing through the point (-2, 1)?

Accepted Answer

Question 34

A car accelerates from 0 to 30 miles per hour in 5 seconds with constant acceleration. The car continues to move at 30 miles per hour for the next 45 seconds. Which graph shows this relationship between speed and time?

Accepted Answer

Question 35

The value of a sculpture steadily increased for several years and then dropped sharply. It then continued to remain at its lowest value. Which graph best represents the value of the sculpture over these years?

Accepted Answer

Question 36

A school bus was stopped for 2 minutes at a red light. When the light turned green, the driver accelerated the bus at a steady rate and then continued driving at a constant speed. Next, the driver decreased the speed of the bus until it came to a full stop to pick up students. Which graph best represents the speed of the bus over the time described?

Accepted Answer

Question 37

How fast was the car traveling in miles per hour (mph) between 25 minutes and 40 minutes?

Accepted Answer

a constant speed of 50 mph

Answer

speeds between 20 mph and 50 mph

Answer

speeds between 35 mph and 0 mph

Answer

a constant speed of 40 mph

Question 38

Based on the graph, which statement is true?

Accepted Answer

Majorie used less than 150 calories jogging for 20 minutes.

Answer

Majorie used exactly 50 calories jogging for 5 minutes.

Answer

Majorie used exactly 100 calories jogging for 10 minutes.

Answer

Majorie used exactly 100 calories jogging for 10 minutes.

Question 39

What does the slope of the graph represent?

Accepted Answer

pounds lost per week

Answer

number of weeks

Answer

weeks per pound lost

Answer

maximum number of pounds lost

Question 40

Which of the following best describes the slope of the graph?

Accepted Answer

the rate at which the balloon rises in feet per minute

Answer

the distance the balloon is from the ground in feet

Answer

the number of minutes the balloon has been in the air

Answer

the number of minutes the balloon takes to reach its maximum height

Question 41

The equation T = 0.63s + 78 can be used to determine T, the temperature in degrees, inside an oven s seconds after the oven is turned on. Which statement relative to this equation is true?

Accepted Answer

The initial temperature inside the oven was 78 degrees.

Answer

Each second the temperature increased 78 degrees.

Answer

The temperature inside the oven in one minute was 141 degrees.

Answer

The temperature inside the oven increased by 78 degrees every 63 seconds.

Question 42

The equation y = 45x + 300 can be used to model the cost of buying new furniture and making monthly payments over the period x months. Which of the following best describes the y-intercept of the graph?

Accepted Answer

the amount of the down payment

Answer

the monthly payment amount

Answer

the number of months to pay off the balance

Answer

the number of pieces of furniture bought

8th Math Functions Review

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