Free Printable 4/20 (Thurs) - NEW Functions Assessment Review

1.

Is the table a function or relation?

a)

Function

b)

Relation

2.

Which ordered pair below would prevent this table from being a function?

a)

(10, 10)

b)

(2, 4)

c)

(6, 1)

d)

(-2, 0)

3.

Which of the following is a function?

a)

A

b)

B

c)

C

d)

D

4.

Which of these tables represent a function?

a)

A

b)

B

c)

C

d)

D

5.

Which set of ordered pairs represents a function?

a)

{(9,5), (10,5), (9,-5), (10,-5)}

b)

{(3,4), (4,-3), (7,4), (3, 8)}

c)

{(6,-5), (7, -3), (8, -1), (9, 1)}

d)

{(2, -2), (5, 9), (5, -7), (1, 4)}

6.

Does the mapping of these points represent a function or relation?

a)

Function

b)

Relation

7.

Does the mapping represent a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values paired with it.

d)

No, because each x-value has only one y-value paired with it.

8.

Is the following a function?

a)

Yes, this is a function.

b)

No, it's not a function.

c)

Can't be determined with this information.

9.

The following is not a function because...

a)

There are two values that equal 2.

b)

x = 10 and x = 40 has two arrows coming from each

c)

In the f(x) column, the 5 repeats.

d)

This table is actually a function.

10.

Does the table represent a function or relation?

a)

Function

b)

Relation

11.

Which graph is a function?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

12.

Which graph is NOT a function?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

13.

Do the points plotted on the graph represent a function or relation?

a)

Function

b)

Relation

14.

Is the following graph a function?

a)

Yes, because the x never repeats.

b)

Yes, because they are individual dots.

c)

No, because the x repeats.

d)

No, because it is not a line.

15.

Which of the following is a function?

a)

b)

c)

d)

16.

Which of the following is NOT a function?

a)

b)

c)

d)

17.

Which of the following is a function?

a)

b)

c)

d)

18.

Does the graph represent a function or relation?

a)

Function

b)

Relation

19.

Which set of coordinates is NOT a function?

a)

(5,10) (2, -3) (8,12) (-4, 2)

b)

(5, 10) (2, 10) (3, 10) (-4, 10)

c)

(5, 10) (2, -3) (8, 12) (2, -4)

d)

(10, 5), (-3, 2) (12, 8) (2, -4)

20.

Does the line graphed represent a function or relation?

a)

Function

b)

Relation

21.

Does the mapping represent a function or relation?

a)

Function

b)

Relation

22.

Does the graph represent a function or relation?

a)

Function

b)

Relation

23.

Does the mapping represent a function or relation?

a)

Function

b)

Relation

24.

a)

Function

b)

Relation

25.

Find $f(8)$ if

f\left(x\right)=-3x+1

a)

$-23$

b)

$25$

c)

$-32$

d)

$-18$

26.

Find $f(-3)$ if

f\left(x\right)=-7+x

a)

$21$

b)

$-4$

c)

$12$

d)

$-10$

27.

Find $f(5)$ if

f\left(x\right)=6-4x

a)

$-26$

b)

$26$

c)

$-14$

d)

$10$

28.

Find $f\left(\frac{3}{4}\right)$ if

f\left(x\right)=12x+10

a)

$19$

b)

$16$

c)

$18$

d)

$4$

29.

Find $f(-2)$ if

f\left(x\right)=8x-3

a)

$-10$

b)

$13$

c)

$12$

d)

$-19$

30.

What would x have to be if $f\left(x\right)$ equals $-6$ for the equation:

f\left(x\right)=5x+4

a)

$-2$

b)

$6$

c)

$-5$

d)

$3$

31.

Complete the function table by selecting what number should go in the colorful box.

a)

$0$

b)

$-1$

c)

$3$

d)

$-3$

32.

Complete the function table by selecting what number should go in the colorful box.

a)

$10$

b)

$-12$

c)

$-20$

d)

$20$

33.

Complete the function table by selecting what number should go in the colorful box.

a)

$33$

b)

$-30$

c)

$18$

d)

$27$

34.

Complete the function table by selecting what number should go in the colorful box.

a)

$52$

b)

$-60$

c)

$-48$

d)

$7$

35.

Complete the function table by selecting what number should go in the colorful box.

a)

$18$

b)

$26$

c)

$9$

d)

$7$

36.

The owner of a music store makes a $12 profit on every vinyl record sold. The total profit, f(x), is a function of the number of records sold, x.

Identify the independent and dependent variables in this situation.

a)

Independent - number of records sold

b)

Independent - total profit

c)

Dependent - number of records sold

d)

Dependent - total profit

37.

The average orange tree is able to produce 200 cartons of orange juice per year. The total number of cartons, f(x), is a function of the number of trees on a farm, x.

What are the independent and dependent variables in the situation?

a)

independent - number of OJ cartons

b)

independent - number of trees

c)

dependent - number of trees

d)

dependent - number of OJ cartons

38.

The average person burns 90 calories per mile while running. The total calories burned in a workout, f(x), is a function of the number of miles run, x.

What are the independent and dependent variables in the situation?

a)

independent - miles run

b)

independent - calories burned

c)

dependent - miles run

d)

dependent - calories burned

39.

Find $f(-5)$ if

f\left(x\right)=4x+2

a)

$22$

b)

$24$

c)

$-18$

d)

$-24$

40.

Find $f(2)$ if

f\left(x\right)=x+4

a)

$6$

b)

$-2$

c)

$-4$

d)

$8$

41.

Find $f(-3)$ if

f\left(x\right)=-10-5x

a)

$-15$

b)

$-25$

c)

$8$

d)

$5$

42.

Find $f\left(\frac{1}{2}\right)$ if

f\left(x\right)=8x-10

a)

$18$

b)

$-6$

c)

$14$

d)

$6$

43.

Find $f(-10)$ if

f\left(x\right)=-3x+5

a)

$35$

b)

$-25$

c)

$-15$

d)

$-150$

44.

What would x have to be if $f\left(x\right)$ equals $-4$ for the equation:

f\left(x\right)=8-2x

a)

$-2$

b)

$6$

c)

$-4$

d)

$12$

45.

Complete the function table by selecting what number should go in the colorful box.

a)

$25$

b)

$21$

c)

$12$

d)

$17$

46.

Complete the function table by selecting what number should go in the colorful box.

a)

$3$

b)

$-24$

c)

$15$

d)

$-9$

47.

Complete the function table by selecting what number should go in the colorful box.

a)

$-16$

b)

$21$

c)

$-19$

d)

$-8$

48.

Complete the function table by selecting what number should go in the colorful box.

a)

$34$

b)

$10$

c)

$2.5$

d)

$8.5$

49.

Complete the function table by selecting what number should go in the colorful box.

a)

$3$

b)

$-1$

c)

$-2$

d)

$12$

50.

It's girl scout cookie season yet again. The girl scouts earn $4.50 per box of cookies that they sell. The total money earned, f(x), is a function of the number of boxes sold, x.

Identify the independent and dependent variables in this situation.

a)

Independent - total money earned

b)

Independent - number of boxes sold

c)

Dependent - total money earned

d)

Dependent - number of boxes sold

51.

Jackie earns $3 for each chore she completes. The total money she earns, f(x), is a function of the number of chores she completes, x.

What are the independent and dependent variables in the situation?

a)

independent - number of chores

b)

independent - amount of money earned

c)

dependent - number of chores

d)

dependent - amount of money earned

52.

Jamal is buying cupcakes for a party. Each cupcake costs $2.50. The amount of money Jamal will spend, f(x), is a function of the number of cupcakes he needs, x.

What are the independent and dependent variables in the situation?

a)

independent - money spent

b)

independent - cupcakes purchased

c)

dependent - cupcakes purchased

d)

dependent - money spent

53.

Determine whether the domain of the function is discrete or continuous:

A car traveling 65 miles per hour brakes at a steady rate to a stop. The function y = -5t + 65 represents the speed y of the car after t seconds.

a)

Discrete

b)

Continuous

54.

Determine whether the domain of the function is discrete or continuous.

A fitness club membership has a $100 initiation fee plus a $19 monthly fee. The function y = 19x + 100 represents the cost y (in dollars) of a membership after x months.

a)

Discrete

b)

Continuous

55.

Determine whether the domain of the function is discrete or continuous.

The function y=8x represents the cost y (in dollars) to hit x buckets of golf balls at a driving range.

a)

Discrete

b)

Continuous

56.

Determine whether the domain of the function is discrete or continuous.

The function 15 = 3x + 2y represents how many $3 packs of colored pens x and $2 drawing pads y you can buy spending exactly $15.

a)

Discrete

b)

Continuous

57.

Adam earns $10 for each car he washes.

a)

Discrete

b)

Continuous

58.

A hairdresser at Fantastic Sam’s earns $12 per haircut.

a)

Discrete

b)

Continuous

59.

Soft drinks sold from a vending machine cost $1.75 per bottle.

a)

Discrete

b)

Continuous

60.

While driving to Florida, Sophia averaged 72 m.p.h.

a)

Discrete

b)

Continuous

61.

Graph of the growth of a plant for the next 30 days.

a)

Discrete

b)

Continuous

62.

Mrs. Hubble graphed her first period test grades by student.

a)

Discrete

b)

Continuous

63.

The number of suitcases lost by airlines.

a)

Discrete

b)

Continuous

64.

The time it takes for a car battery to die.

a)

Discrete

b)

Continuous

65.

The number of orange Skittles in a bag.

a)

Discrete

b)

Continuous

66.

The number of school lunches sold during the month.

a)

Discrete

b)

Continuous

67.

The time it takes for a light bulb to burn out.

a)

Discrete

b)

Continuous

68.

The number of miles it takes to use up a tank of gas.

a)

Discrete

b)

Continuous

69.

The number of students in each math class.

a)

Discrete

b)

Continuous

70.

Number of students attending a field trip.

a)

Discrete

b)

Continuous

71.

The weight of a package you are mailing at the post office.

a)

Discrete

b)

Continuous

72.

Number of slices on a pizza.

a)

Discrete

b)

Continuous

73.

Miles driven on a summer vacation.

a)

Discrete

b)

Continuous

74.

Number of minutes studied.

a)

Discrete

b)

Continuous

75.

On the graph, you should connect the dots.

a)

Discrete

b)

Continuous

76.

Connor and Pilar are in a rock-climbing club. They are climbing down a canyon wall. Connor starts from a cliff that is 200 feet above the canyon floor and climbs down at an average speed of 10 feet per minute. Pilar climbs down the canyon wall as shown in the table. Which climber is faster? How much faster are they?

a)

Connor

b)

Pilar

c)

2 feet per minute faster

d)

1 foot per minute faster

e)

5 feet per minute faster

77.

Connor and Pilar are in a rock-climbing club. They are climbing down a canyon wall. Connor starts from a cliff that is 200 feet above the canyon floor and climbs down at an average speed of 10 feet per minute. Pilar climbs down the canyon wall as shown in the table. Which climber starts higher on the cliff? How much higher were they are the start?

a)

Connor

b)

Pilar

c)

34 feet higher

d)

38 feet higher

e)

42 feet higher

78.

Connor and Pilar are in a rock-climbing club. They are climbing down a canyon wall. Connor starts from a cliff that is 200 feet above the canyon floor and climbs down at an average speed of 10 feet per minute. Pilar climbs down the canyon wall as shown in the table. What will the height be for each climber after 8 minutes?

a)

Connor = 280 feet

b)

Pilar = 306 feet

c)

Connor = 120 feet

d)

Pilar = 178 feet

e)

Pilar = 156 feet

79.

The profit Wendy's earns from selling hamburgers is shown in the graph. The profit Wendy's earns from selling beverages is shown in the table. Compare the functions by comparing their rates of change.

a)

The beverage's profit is 3 times more than the hamburger's profit.

b)

The hamburger's profit is $1.20 more than the beverage's profit.

c)

The hamburger's profit is $0.80 more than the beverage's profit.

d)

The beverage's profit is $0.60 less than the beverage's profit.

80.

The profit Wendy's earns from selling hamburgers is shown in the graph. The profit Wendy's earns from selling beverages is shown in the table. Compare the functions by comparing their y-intercepts.

a)

Hamburgers have a $0.50 higher starting profit than the beverages.

b)

Beverages have a $0.75 higher starting profit than the hamburgers.

c)

Hamburgers have a $0.30 lower starting profit than the beverages.

d)

Wendy's will not make any profit if no items are sold.

81.

The profit Wendy's earns from selling hamburgers is shown in the graph. The profit Wendy's earns from selling beverages is shown in the table. How much total profit will be made if they sell 500 of both items?

a)

$800

b)

$650

c)

$725

d)

$950

82.

Ianna and Matt are studying for their math test. After completing 35 review questions in class, Matt finishes 15 more review problems every hour he studies. The table shows how many total questions Ianna completes while studying. Compare the functions by comparing their rates of change.

a)

After class, Matt completes 4 more problems than Ianna every hour they study.

b)

After class, Ianna completes 2 more problems than Matt every hour they study.

c)

Ianna completes 12 more problems than Matt when they study.

d)

After class, Ianna completes 5 more problems than Matt every hour they study.

83.

Ianna and Matt are studying for their math test. After completing 35 review questions in class, Matt finishes 15 more review problems every hour he studies. The table shows how many total questions Ianna completes while studying. Compare the functions by comparing their y-intercepts.

a)

Matt completed 12 more problems than Ianna while they were in class.

b)

Ianna completed 8 more problems than Matt while in class.

c)

Matt finished 10 more problems than Ianna.

d)

Ianna studied for 15 more minutes than Matt.

84.

Ianna and Matt are studying for their math test. After completing 35 review questions in class, Matt finishes 15 more review problems every hour he studies. The table shows how many total questions Ianna completes while studying. If there are 75 questions on the review, who will finish it faster?

a)

Ianna

b)

Matt

85.

The Monster zip line at the Canada Olympic Park produces average speeds of 120 kilometers per hour. A smaller line produces speeds represented by the function y=50x where y is the distance in kilometers after x hours. Compare the functions by comparing their rates of change.

a)

The smaller line is 70 kilometers shorter than the Monster line.

b)

The smaller line is 60 kilometers slower than the Monster line.

c)

The Monster line is 50 kilometers longer than the smaller line.

d)

The Monster line is 70 kilometers faster than the smaller line.

86.

The Monster zip line at the Canada Olympic Park produces average speeds of 120 kilometers per hour. A smaller line produces speeds represented by the function y=50x where y is the distance in kilometers after x hours. Which line will you travel farther on in 0.25 hours? How much farther?

a)

Smaller Line

b)

Monster Line

c)

17.5 kilometers farther

d)

19.5 kilometers farther

e)

16.5 kilometers farther

87.

Alex and Chris are saving to buy new phones. The amount in Alex's account is shown in the graph and the amount in Chris' account is shown in the table. Compare the functions by comparing their rates of change.

a)

Alex saves $6 more than Chris every week.

b)

Chris saves $5 more than Alex every week.

c)

Chris saves $8 less than Alex every week.

d)

Alex saves $3 less than Chris every week.

88.

Alex and Chris are saving to buy new phones. The amount in Alex's account is shown in the graph and the amount in Chris' account is shown in the table. Compare the functions by comparing their y-intercepts.

a)

Alex started with $20 more in his account when they began saving.

b)

Chris had $40 more in his account when they started saving.

c)

Alex began with $15 less in his account when they started saving.

d)

Chris initially had $10 less in his account when they began saving.

89.

Alex and Chris are saving to buy new phones. The amount in Alex's account is shown in the graph and the amount in Chris' account is shown in the table. Write the equation to represent each function.

a)

Chris:
$y=6x+40$

b)

Chris:

y=8x+30

c)

Alex:
$y=5x+50$

d)

Alex:
$y=4x+48$

90.

Alex and Chris are saving to buy new phones. The amount in Alex's account is shown in the graph and the amount in Chris' account is shown in the table. Who will have more in their savings account after 11 weeks? How much more?

a)

Chris

b)

Alex

c)

$15 more

d)

$8 more

e)

$13 more

91.

Write equation of the line containing (3,2) and (4,4)

a)

y = 1/2x + 2

b)

y = 2x + -4

c)

y = 1/2x + 4 1/2

d)

y = -2x + 12

92.

Write equation of the line containing (2,6) and (3,1)

a)

y = 5x - 14

b)

y = -5x - 14

c)

y = -5x + 16

d)

y = -5x + 6

93.

Write equation of the line containing (-1,-3) and (1,1)

a)

y = -2x + 1

b)

y = 2x -1

c)

y = 2x + 7

d)

y = -2x - 1

94.

What is the equation of the linear function?

a)

y = -3x + 10

b)

y = -3x + 16

c)

y = 3x + 10

d)

y = 3x + 16

95.

Given the table, write the equation in the slope-intercept form.

a)

y = 1/3x + 6

b)

y = 3x + 6

c)

y = 2x + 6

d)

y = 1/2x + 6

96.

What is the equation for this table?

a)

y = -2x + 5

b)

y = 2x + 5

c)

y = 5x - 2

d)

y = 5x + 5

97.

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.

a)

y = 3x + 2.5

b)

y = 2.50x + 3

c)

y = 2.50x

d)

y = 3x + 2.50

98.

Which equation matches the table below?

a)

y = 3x + 6

b)

y = -3x + 6

c)

y = 3x - 6

d)

y = -3x - 6

99.

What is the equation for the table?

a)

y =1/4x -3

b)

y =4x - 3

c)

y = -3x -3

d)

y =-2x -3

100.

Write the equation of the line in slope-intercept form.

a)

y = 1/3x + 3

b)

y = 3x + 3

c)

y = 1/3x -3

d)

y = 3x -3

101.

Paul the plumber charges $25 for a service call. He then charges $100 an hour. Write a linear equation to model this situation.

a)

y = 100x

b)

y = 25x

c)

y = 25x + 100

d)

y = 100x + 25

102.

Write the equation of the line in slope-intercept form with slope m = 4 through the point (-2, 5).

a)

y = 4x - 13

b)

y = 4x + 13

c)

y = 4x - 3

d)

y = 4x + 3

103.

Write the slope-intercept form of the equation with the given point and slope.
Through (2,5) and m= 1/2

a)

y=1/2x+4

b)

y=-1/2x-4

c)

y=4x-1/2

104.

Write the equation of the line with slope = 5 and that goes through point (3, -5)

a)

y = 5x - 5

b)

y = 5x - 20

c)

y = 5x + 20

d)

y = 5x + 15

105.

What is the equation in y = mx + b?

(4, 3) and (5, 6)

a)

y = 3x + b

b)

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

c)

y = 3x - 9

d)

y = 3x - 5

106.

Write an equation for the line that passes through:

(-4,-7) and (-6,9)

a)

$y=8x+39$

b)

$y=-8x-39$

c)

$y=-8x-32$

d)

$y=8x+32$

107.

Write an equation of the line that passes through

(0 , 10) and (6 , 34)

a)

$y=4x+10$

b)

$y=6x+34$

c)

$y=4$

d)

$y=6x-4$

108.

Write an equation of the line that passes through the given point and has the given slope:

$(-2,-1);\ m=-3$

a)

$y=-3x-7$

b)

$y=3x-7$

c)

$y=-3x+7$

d)

$y=-3x-8$

109.

Write an equation of the line that passes through the given point and has the given slope:

$\left(-1,1\right);\ m=4$

a)

$y=4x+5$

b)

$y=4x-1$

c)

$y=4x-3$

d)

$y=4x-2$

110.

Is the graph...

1) a function or relation?

2) Linear or Nonlinear?

a)

Linear

b)

Nonlinear

c)

Function

d)

Relation

111.

Is the graph...

1) a function or relation?

2) Linear or Nonlinear?

a)

Linear

b)

Nonlinear

c)

Function

d)

Relation

112.

Is the graph...

1) a function or relation?

2) Linear or Nonlinear?

a)

Function

b)

Relation

c)

Linear

d)

Nonlinear

113.

Is the graph...

1) a function or relation?

2) Linear or Nonlinear?

a)

Function

b)

Relation

c)

Linear

d)

Nonlinear

114.

Is the graph...

1) a function or relation?

2) Linear or Nonlinear?

a)

Linear

b)

Nonlinear

c)

Function

d)

Relation

115.

Is the graph...

1) a function or relation?

2) Linear or Nonlinear?

a)

Linear

b)

Nonlinear

c)

Function

d)

Relation

116.

Is the equation given a linear or nonlinear function? $y=\left|2x-1\right|$

a)

Linear

b)

Nonlinear

117.

Is the function Linear or Nonlinear?

a)

Linear

b)

Nonlinear

118.

Is the equation linear or nonlinear?

a)

Linear

b)

Nonlinear

119.

Is the function Linear or Nonlinear?

a)

Linear

b)

Nonlinear

120.

Is the function Linear or Nonlinear?

a)

Linear

b)

Nonlinear

121.

Is the function Linear or Nonlinear?

a)

Linear

b)

Nonlinear

122.

Is this table linear or nonlinear? If linear, what is the slope/rate of change?

a)

Linear

b)

Nonlinear

c)

2

d)

$\frac{1}{2}$

123.

Is this table linear or nonlinear? If linear, what is the slope/rate of change?

a)

Nonlinear

b)

Linear

c)

5

d)

-3

e)

$-\frac{1}{3}$

124.

Is this table linear or nonlinear? If linear, what is the slope/rate of change?

a)

Linear

b)

Nonlinear

c)

2

d)

4

125.

Is this table linear or nonlinear? If linear, what is the slope/rate of change?

a)

Linear

b)

Nonlinear

c)

$\frac{5}{2}$

d)

$-\frac{5}{2}$

e)

$-\frac{2}{5}$

126.

Is this table linear or nonlinear? If linear, what is the slope/rate of change?

a)

Linear

b)

Nonlinear

c)

55

d)

11

127.

Is this table linear or nonlinear? If linear, what is the slope/rate of change?

a)

linear

b)

nonlinear

c)

3

d)

5

128.

Is the graph...

1) a function or relation?

2) Linear or Nonlinear?

a)

Linear

b)

Nonlinear

c)

Function

d)

Relation

129.

Is this table linear or nonlinear? If linear, what is the slope/rate of change?

a)

Linear

b)

Nonlinear

c)

-2

d)

2

130.

Which function(s) is/are linear?

a)

$y=2x+4$

b)

$y=2x^2+4$

c)

$y=2x\left|4−3x\right|$

d)

$y=4$

131.

Is the function linear or nonlinear? $y=3x^2-4x+2$

a)

Linear

b)

Nonlinear

132.

Which equation represents a nonlinear function?

a)

$y=3x+5$

b)

$y=5x^3$

c)

$y+3=5x$

d)

$3x-y=5$

4/20 (Thurs) - NEW Functions Assessment Review

Total questions: 132

Worksheet time: 4hrs 55mins

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