WorksheetsReview for Functions and Pythagorean Test
Total questions: 110
Worksheet time: 3hrs 2mins
Name
Class
Date
1.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
2.
Is the relation 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 pair with it.
d)
No, because each x-value has only one y-value paired with it.
3.
a)
Function
b)
Not a Function
4.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
5.
Is this table a function or not a function?
a)
Function
b)
Not a Function
6.
Is this table a function or not a function?
a)
Function
b)
Not a Function
7.
Which set of values is 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)
8.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
9.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
10.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
11.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
12.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
13.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
14.
Give the domain and range. Tell if it is a function.
a)
D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Function
R: {-2, -2, 1, 1}
Function
b)
D: {-4, -2, 0, 2}
R: {-2, 1}
Function
R: {-2, 1}
Function
c)
D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Not a Function
R: {-2, -2, 1, 1}
Not a Function
d)
D: {-4, -2, 0, 2}
R: {-2, 1}
Not a Function
R: {-2, 1}
Not a Function
15.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
16.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
17.
Which of these is NOT the same
a)
Range
b)
Input
c)
Dependent Value
d)
Y-Value
18.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
R: {0, 1, 2, -4}
b)
D:{0, 1, 2, -4}
R:{1, -3, -4}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
R:{1, -3, -4}
19.
What is the range of the following relation:
(9, -2) (4, 3) ( 8, 10) ( -4, 8)
(9, -2) (4, 3) ( 8, 10) ( -4, 8)
a)
-4, 4, 8, 9
b)
-2, 3, 8, 10
c)
(9, -2) ( 4, 3)
d)
(8, 10) (-4, 8)
20.
Is the relation 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 pair with it.
d)
No, because each x-value has only one y-value paired with it.
21.
a)
Function
b)
Not a Function
22.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
23.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
24.
Is this table a function or not a function?
a)
Function
b)
Not a Function
25.
Is this table a function or not a function?
a)
Function
b)
Not a Function
26.
Is this table a function or not a function?
a)
Function
b)
Not a function
27.
Is this set of ordered pairs a function or not a function?
a)
Function
b)
Not a Function
28.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
29.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
30.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
31.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
32.
The table below shows the relationship between the number of water bottles at a park that are thrown away and the number of water bottles at the park that are recycled for each of five months.
Which statement correctly describes the relationship between the number of water bottles that are thrown away and the number of water bottles that are recycled at the park each month?
Which statement correctly describes the relationship between the number of water bottles that are thrown away and the number of water bottles that are recycled at the park each month?
a)
The relationship is proportional .For every 3 bottles that are thrown away each month, 10 bottles are recycled .
b)
The relationship is proportional .For every 10 bottles that are thrown away each month, 3 bottles are recycled .
c)
The relationship is not proportional .The number of water bottles that are thrown away increases more from month to month than the number of water bottles that are recycled .
d)
The relationship is not proportional .The difference between the number of bottles that are thrown away and the number of bottles that are recycled is not the same for each month .
33.
A proportional relationship can be written as an equation in the form ____ = _____ _____
a)
y = k+x
b)
y = k-x
c)
y = kx
d)
y = k/x
34.
The constant of proportionality in the equation y = ½x is _______.
a)
x
b)
y
c)
1/2
d)
2
35.
What does k represent in the equation y = kx?
a)
independent variable
b)
constant of proportionality
c)
dependent variable
d)
krispy kreme
36.
Which best describes this equation?
y= 3.75x + 2
y= 3.75x + 2
a)
Proportional
b)
Non-proportional
37.
Proportional or Non-Proportional:
The video game rental fee is $15 plus $3 per day.
The video game rental fee is $15 plus $3 per day.
a)
Proportional
b)
Non-Proportional
38.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
39.
Which best describes the graph represented in this table?
a)
proportional
b)
non-proportional
40.
Does the equation show a proportional relationship?
a)
Yes
b)
No
41.
Which statement best describes the relationship between x and y in the table?
a)
Proportional
b)
Not Proportional
42.
In the equation y = 14x, what is the constant of proportionality?
a)
y
b)
x
c)
14
d)
y=14
43.
Which of the following sets of ordered pairs represents a proportional relationship?
a)
{(0, 5)(1, 10)(2, 15) (3, 20)}
b)
{(3, 15)(5, 25)(8, 40) (12, 60)}
c)
{(4, 6)(8, 6)(2, 6) (5, 6)}
d)
{(3, 6)(4, 8)(5, 10) (3, 12)}
44.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
45.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
46.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
47.
Is the following Linear or Non-Linear?
xy = 3
xy = 3
a)
Linear
b)
Non-Linear
48.
Is the following Linear or Non-Linear?
x = 3
x = 3
a)
Linear
b)
Non-Linear
49.
Is the following equation Linear or Non-Linear?
x + y = 3
x + y = 3
a)
Linear
b)
Non-Linear
50.
Is the following Linear or Non-Linear?
x2 + y = 5
x2 + y = 5
a)
Linear
b)
Non-Linear
51.
Is the following Linear or Non-Linear?
x + y2 = 5
x + y2 = 5
a)
Linear
b)
Non-Linear
52.
A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?
a)
y=15x
b)
y=15x+80
c)
y=x+15
d)
y=80x+15
53.
A camp charges families a fee of $625 per month for one child and a certain amount more per month for each additional child. Use the graph to write an equation in slope-intercept form to represent the amount a family with x additional children would pay.
a)
y = 625x + 225
b)
y = 225x
c)
y = 225x + 625
d)
y = 625
54.
A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?
a)
y=15x
b)
y=15x+80
c)
y=x+15
d)
y=80x+15
55.
Which of the following situations could be descried by the equation y= -25x + 120
a)
There are 120 people in the football stadium, and 25 more are entering each hour.
b)
A plumber charges $25 for a house call and $120 per hour.
c)
A teacher has 120 students. Her third period has 25 students
d)
There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute
56.
Randy charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents so as a result he must increase the rate of change by $25 to ensure his profits are not harmed. What equation best represents how much his tenants will now have to pay?
a)
y = 425x + 600
b)
y = 425 + 600x
c)
y = 400x + 625
d)
y = 400 + 625x
57.
Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.
y=0.5x+10
What does the slope of the graph of this equation represent?
y=0.5x+10
What does the slope of the graph of this equation represent?
a)
The daily fee for the moving truck
b)
The per-mile fee for the moving truck
c)
How much Charlie paid for the truck
d)
The number of miles he drove
58.
Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits.
y=3x+10
What does the y-intercept of the graph of this equation represent?
y=3x+10
What does the y-intercept of the graph of this equation represent?
a)
The monthly fee
b)
How much Rich pays per visit
c)
The number of times Rich goes to the gym
d)
The total cost at the end of the month
59.
Adrianna has $20 in her savings account. Each week she will add $5 to it. Which equation represents this situation?
a)
y=25x
b)
y=20x+5
c)
y=5x+20
d)
y=5x
60.
Which situation can be represented by y=12x-4?
*Hint: Pay attention to your sign for your y-intercept*
*Hint: Pay attention to your sign for your y-intercept*
a)
The number of eggs, y, in x dozen eggs for sale after 4 dozen eggs are sold
b)
The cost, y, of buying x movie tickets that sell for $8 each
c)
The cost, y, after a $4 discount, of buying x T-shirts that sell for $12 each
d)
The number of inches, y, in an x-foot-tall tree after cutting off 4 feet
61.
The graph represents the height of a burning candle. What is the meaning of the y-intercept?
a)
the time it takes to burn the entire candle
b)
the rate at which the candle is losing height
c)
the change in the height of the candle each hour
d)
the original height of the candle
62.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
63.
The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Which service is cheaper for 8 movies in one month?
a)
Beth's service ($38 vs. $40) is cheaper
b)
Nate’s service ($42 vs. $44) is cheaper
c)
Nate’s service ($38 vs. $40) is cheaper
d)
Beth's service ($42 vs. $44) is cheaper
64.
Which company should you use if you rent the raft for 9 hours?
a)
Water's Edge Rafts
b)
Ryan's Rafts
65.
The cost of Patrick’s texting is
described by y = 0.03x + 5. The cost of
Melanie’s texting is shown in the table. Which service is cheaper when 50
texts are sent or received in one
month?
a)
Patrick’s service would cost
$4.50. Melanie’s would cost $10.50.
Patrick’s is cheaper.
b)
Patrick’s service would cost
$6.50. Melanie’s would cost $12.50.
Patrick’s is cheaper.
c)
Patrick’s service would cost
$16.50. Melanie’s would cost $12.50.
Melanie's is cheaper.
d)
Patrick’s service would cost
$12.50. Melanie’s would cost $6.50.
Melanie's is cheaper.
66.
Dave owns a lawn business. He charges $10 per hour and a $25 dollar disposal fee. What is the correct equation Dave would use to find out how much to charge his customers?
a)
y = 25x + 10
b)
x = 25y + 10
c)
y = 10x +25
d)
x = 10y + 25
67.
Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation 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
68.
Give the domain and range. Tell if it is a function.
a)
D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Function
R: {-2, -2, 1, 1}
Function
b)
D: {-4, -2, 0, 2}
R: {-2, 1}
Function
R: {-2, 1}
Function
c)
D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Not a Function
R: {-2, -2, 1, 1}
Not a Function
d)
D: {-4, -2, 0, 2}
R: {-2, 1}
Not a Function
R: {-2, 1}
Not a Function
69.
Who has the same rate of change?
a)
Dennis and Kameron have the same rate of change.
b)
Myriah and Kameron have the same rate of change.
c)
Dennis and Myriah have the same rate of change.
d)
They ALL have the same rate of change
70.
Which of the following situations
corresponds to this graph?
corresponds to this graph?
a)
A bicyclist accelerates from a stop, travels at a constant speed, then slows to a stop.
b)
A car accelerates from a stop,
travels at a constant speed, slows,
and then travels at a slower speed.
travels at a constant speed, slows,
and then travels at a slower speed.
71.
Which of the following situations
corresponds to this graph?
corresponds to this graph?
a)
A car, accelerates from a stop,travels at a constant speed, slows,
and then travels at a slower speed.
and then travels at a slower speed.
b)
An airplane travels at a constant
speed then decelerates to a slower speed.
speed then decelerates to a slower speed.
c)
An athlete warms up by walking
around the track, runs, then jogs.
around the track, runs, then jogs.
d)
A bicyclist accelerates, travels at a
constant speed, then slows to a
stop.
constant speed, then slows to a
stop.
72.
Which panda is growing faster?
a)
Mochi
b)
Kappa
c)
Po the dragon warrior
d)
Jack Black
73.
Which panda was heavier when they were born?
a)
Mochi
b)
Kappa
c)
Po the dragon warrior
d)
Jack Black
74.
Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits.
y=3x+10
What does the y-intercept of the graph of this equation represent?
y=3x+10
What does the y-intercept of the graph of this equation represent?
a)
The monthly fee
b)
How much Rich pays per visit
c)
The number of times Rich goes to the gym
d)
The total cost at the end of the month
75.
Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.
y=0.5x+10
What does the slope of the graph of this equation represent?
y=0.5x+10
What does the slope of the graph of this equation represent?
a)
The daily fee for the moving truck
b)
The per-mile fee for the moving truck
c)
How much Charlie paid for the truck
d)
The number of miles he drove
76.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
77.
Is the equation linear or nonlinear?
a)
Linear
b)
Nonlinear
78.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
79.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
80.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
81.
Find the length of the missing side.
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
82.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
83.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
84.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
85.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
86.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
87.
solve for c
a)
7
b)
9
c)
4
d)
13
88.
The Pythagorean Theorem is
a2 + b2 + c2
a2 + b2 + c2
a)
false
b)
true
89.
The legs form what type of angle?
a)
Acute
b)
Obtuse
c)
Reflex
d)
Right
90.
Find the Hypotenuse
a)
85yd
b)
75yd
c)
65yd
d)
55yd
91.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
92.
Which sides represent the LEGS of the right triangle?
a)
A and C
b)
A and B
c)
B and C
93.
Which side represents the hypotenuse of the triangle?
a)
A
b)
B
c)
C
94.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
95.
Solve for x.
a)
38.9
b)
40.2
c)
45.6
d)
54
96.
Which set of measurements could be the side lengths of a right triangle?
a)
10 cm, 12 cm, 16 cm
b)
20 cm, 21 cm, 29 cm
c)
30 cm, 32 cm, 42 cm
d)
40 cm, 42 cm, 56 cm
97.
what is the missing length?
a)
50
b)
60
c)
70
d)
80
98.
Which of the following sentences would belong in the proof that describes this image?
a)
The sum of the areas of the two smaller squares is equal to the area of the large square.
b)
The sum of the side lengths of the two smaller squares is equal to the side length of the large square.
c)
The difference of the areas of the two smaller squares is equal to the area of the large square.
d)
The differences of the side lengths of the two smaller squares is equal to the side length of the large square.
99.
Bob has $150 in his savings account and saves $40 per month. Which equation represents the amount Bob has in his account after x months?
a)
y = 150 + 40
b)
y = 40x + 150
c)
y = 150x + 40
100.
A holiday meal costs $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs, including delivery, for x people?
a)
y = 30 + 12.5x
b)
y = 12.5 + 30
c)
y = 12.5 + 30x
101.
Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?
a)
y = 8.5 + 25.5
b)
y = 25.5 + 8.5x
c)
y = 8.5 + 25.5x
102.
A strong cold front blew through during the night. The temperature outside began to drop rapidly. The graph shows the temperature at each hour after the cold front blew through. What is the temperature after 6 hours?
a)
80 degrees
b)
60 degrees
c)
8 degrees
d)
65 degrees
103.
A strong cold front blew through during the night. The temperature outside began to drop rapidly. The graph shows the temperature at each hour after the cold front blew through. After how many hours will it be 75 degrees?
a)
1/2 hour
b)
1 hour
c)
2 hours
d)
never
104.
Several years ago, Conner bought an antique clock. Since then, it has increased in value. How much was the clock worth when Conner first bought it?
a)
$300
b)
$100
c)
$400
d)
$350
105.
The graph represents the number of eggs remaining in the fridge after making x quiches.
If you made 3 quiches, how many eggs do you have left?
If you made 3 quiches, how many eggs do you have left?
a)
about 68 eggs
b)
about 70 eggs
c)
about 72 eggs
d)
about 80 eggs
106.
At what rate did the rain fall?
a)
2 cm per hour
b)
1/4 cm per hour
c)
1/2 cm per hour
d)
4 cm per hour
107.
What is the meaning of the y-intercept?
a)
The weight in the bucket increases by 1 pound per pound of sand.
b)
Before sand is put in the bucket, it weighs 1 pound.
c)
The starting weight of the sand is 1 pound.
d)
The weight in the bucket decreases by 1 pound per pound of sand.
108.
The equation y=10x represents the amount of allowance, y, in dollars, that Jacob receives for doing x hours of chores. Which statement interprets the slope of this equation?
a)
Jacob does chores for $0 per hour.
b)
Jacob does chores for $10 per hour.
c)
Jacob receives $0 of allowance money before doing any chores.
d)
Jacob receives $10 of allowance money before doing any chores.
109.
The graph shows the candle's height (cm) as it burns (minutes). What does the slope MEAN?
a)
The candle burns 1 cm every minute.
b)
The candle burns 2 cm every 2 minutes.
c)
The candle burns 2 cm every minute.
d)
The candle burns 1 cm every 2 minutes.
110.
The graph shows the height (cm) of a candle as it burns, what does the y-intercept mean?
a)
Candle starts at 9 cm.
b)
Candle start at 4.5 cm
c)
Candle starts at 0 cm.
d)
The candle ends at 5 cm
100 %
