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Functions and Linear Representations

Total questions: 95

Worksheet time: 4hrs 51mins

Name
Class
Date
1.

Clare owns a mobile pet grooming company. She charges $20 to come to your home plus $30 per hour to groom your pet. Which equation models the amount she charges over time?

a)

y=50xy=50x

b)

y=20x+30y=20x+30

c)

y=30x+20y=30x+20

d)

20x+30y20x+30y

2.

Which table corresponds to the equation?

a)
b)
c)
d)
3.
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
4.
What is the slope?
a)
-1/3
b)
-3
c)
-4
d)
5
5.
In slope intercept form (y=mx+b) what is the "m"?
a)
The y-intercept
b)
The x-intercept
c)
The slope (rate of change)
d)
A point
6.
In slope intercept form (y=mx+b) what is the "b"?
a)
The y-intercept
b)
The x-intercept
c)
The slope (rate of change)
d)
A point
7.
If m=3 and b=6, what is the correct slope intercept equation?
a)
y=3-6
b)
y=3x-6
c)
y=3x+6
d)
y=6x+3
8.

Write the equation in slope intercept form.

a)

y = 2x + 3

b)

y = 3x + 2

c)

y = 2x - 1

9.
What equation matches this graph?
a)
y = 2x + 2
b)
y = 3/2x + 2
c)
y = 1/2x + 2
d)
y = 2/3x + 2
10.
Write the equation of the line.
a)
y = -2/3x + 4
b)
y = 2/3x + 4
c)
y = 3/2x + 4
d)
y = -3/2x + 4
11.
Write the equation of the line.
a)
y = -1/3x - 2
b)
y = 1/3x - 2
c)
y = 3x - 2
d)
y = -3x - 2
12.

Which table corresponds to the equation?

a)
b)
c)
d)
13.

Which equation represents the table?

a)
b)
c)
d)
14.

A(n) _________________ function will ADD the same number each time.

a)

Linear

b)

Quadratic

c)

Exponential

d)

All of the above

15.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has exactly ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

16.
a)
Function
b)
Not a Function
17.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
18.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
19.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
20.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
21.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
22.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
23.
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)
24.
Which graph is linear?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
25.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
26.
All of the y values or outputs are called what?
a)
Domain
b)
Range
27.
All of the x values or inputs are called what?
a)
Domain
b)
Range
28.
What is the range of the following relation:
(9, -2) (4, 3)  ( 8, 10) ( -4, 8)
Range is the y values 
(x,y)
a)
-4, 4, 8, 9
b)
-2, 3, 8, 10
c)
(9, -2) ( 4, 3)
d)
(8, 10) (-4, 8)
29.
Identify the domain of the following relation:
Remember domain is the "x" values
a)
-6, 14, 2, 28
b)
(-6,14), (0,32), (2,38), (4,44)
c)
-6, 0, 2, 4
d)
14, 32, 38, 44
30.
Find the slope of the line that passes through:
(-4, 7) and (-6, -4)
a)
2/11
b)
13/2
c)
3/10
d)
11/2
31.
Find the slope of the line that passes through:
(-3, -4) and (7, 6)
a)
0
b)
Undefined
c)
-1
d)
1
32.
Find the slope of the line that passes through:
(6,7) and (4,2)
a)
2/5
b)
-5/2
c)
5/2
d)
-1/2
33.
What type of slope?
a)
negative
b)
positive
c)
zero slope
d)
downward slope
34.
What type of slope?
a)
negative
b)
steep
c)
undefined
d)
zero slope
35.
What type of slope?
a)
undefined
b)
positive slope
c)
negative slope
d)
zero slope
36.

What type of slope is Mario running in the picture?

a)

Positive

b)

Negative

c)

Undefined

d)

Zero

37.

What type of slope is shown by the stairs in the image?

a)

positive

b)

negative

c)

undefined

d)

zero

38.

What type of slope is shown in the image?

a)

Positive

b)

Negative

c)

Undefined

d)

Zero

39.
What is the slope?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
40.
What is the slope?
a)
Positive
b)
Negative
c)
Zero
d)
No Slope
41.

What is 'b' in this linear equation? y= 5x - 6

a)

6

b)

5

c)

y

d)

-6

42.

Why do we want to think of slope as a fraction?

a)

rise/run

b)

run/rise

c)

Fractions make things better

43.

The 'rise' in rise/run tells us which way to go on which axis?

a)

y-axis

b)

x-axis

c)

coordinate plane

d)

y-intercept

44.

The 'run' in rise/run tells us which directions to go on the x-axis?

a)

up and down

b)

diagonal

c)

left and right

45.

When graphing, what do you do after you graph your y-intercept?

a)

Find slope and start with your run(left or right) then to rise (up or down)

b)

Find slope and start with your rise (up or down) then to run (left or right)

c)

Draw a vertical line

d)

Draw a horizontal line

46.

What is given when you have a vertical line on your graph?

a)

x

b)

y

47.

What is given when your graph is horizontal?

a)

y

b)

x

48.

What is your slope and y-intercept of this equation? y= 2/3 x + 12

a)

m= 3/2 b= 12

b)

m= 12 b= 2/3

c)

m= 2/3 b= 12

d)

m= -2/3 b= -12

49.
What is the slope in the equation:  y=4x+3
a)
3
b)
4x
c)
4
d)
x
50.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
51.
What is the y-intercept in the following equation:  y=-4x-5
a)
-4
b)
-4x
c)
5
d)
-5
52.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
53.
The graph of a linear function is always straight?
a)
true
b)
false
54.
Which equation represents slope intercept form?
a)
y=5+2x
b)
5y=x+5
c)
y=2x+5
d)
4y+2x=8
55.
The value of y varies directly with x.  Which function represents the relationship between x and y if y = 14 when x = 6. 
a)
y=20x
b)
y=84x
c)
y=7/3x
d)
y=3/7x
56.
In a direct variation, y=39 when x=3.  Find the value of y when x=2.
a)
26
b)
3
c)
58.5
d)
2
57.
Which of the given graphs is a direct variation?
a)
A
b)
B
c)
C
d)
D
58.
Is this proportional?
a)
yes
b)
no
59.
What does the Direct Variation Equation look like?
a)
y= kx
b)
y = mx + b
c)
y = b
d)
y = x
60.
Which graph shows a proportional relationship between x and y?
a)
A
b)
B
c)
C
d)
D
61.
Is the given table a direct variation? If so, what is the constant?
a)
Yes; 1/4
b)
Yes; 4
c)
Yes; 2
d)
No
62.
Is this a direct variation?
y = 2x
a)
yes
b)
no
63.
Write the equation for the table given.
a)
y = 1/3x
b)
y = 3x
c)
y = 1/2x
64.
Which of the given graphs is a direct variation?
a)
A
b)
B
c)
C
d)
D
65.
Is this a direct variation?
a)
yes
b)
no
66.
Is this a direct variation?
a)
yes
b)
no
67.
Is this proportional?
a)
yes
b)
no
68.

Does the following represents direct variation?

a)

Yes

b)

No

69.

Does the following represents direct variation?

a)

Yes

b)

No

70.

Does the following represents direct variation?

a)

Yes

b)

No

71.

Does the following represents direct variation?

a)

Yes

b)

No

72.

Select all the equations that represent a direct variation:

a)
b)
c)
d)
73.

Does the following table represent direct variation?

a)

Yes

b)

No

74.

What restaurant has this logo?

a)

Burger King

b)

McDonalds

c)

Carl's Jr.

d)

In-N-Out

75.

Name that soda.

a)

Pepsi Cola

b)

Royal Crown

c)

Tab

d)

Coca Cola

76.

Which Social Media Site is this

a)

Facebook

b)

Twitter

c)

Instagram

d)

Snapchat

77.

Which theme park is this logo associated with?

a)

Legoland

b)

Magic Mountain

c)

Knott's Berry Farm

d)

Disneyland

78.

Which internet browser is this?

a)

Chrome

b)

Firefox

c)

Edge

d)

Internet Explorer

79.
Name that movie
a)
Home Alone
b)
Wizard of Oz
c)
Frozen
d)
Mary Poppins
80.
Who Is This?
a)
LeBron James 
b)
Stephen Curry
c)
Michael Jordan
d)
Kevin Durant
81.

Finish the catch phrase..."Love that chicken from..."

a)

KFC

b)

Church's Chicken

c)

Popeye's

82.

What is an example of a one true American creation?

a)

Apple Pie

b)

Jazz

c)

Baseball

d)

Basketball

83.
Which of the following is NOT a name of Ninja Turtle?
a)
Michelangelo
b)
Donatello
c)
Galileo
d)
Raphael
84.

What house of Hogwarts did Harry Potter belong to?

a)

Hufflepuff

b)

Slytherin

c)

Gryffindor

d)

Ravenclaw

85.
Name of the brand
a)
Apple
b)
Google
c)
Iped
d)
Windows
86.

In "The Wizard of Oz", what was the one thing that Tin Man wanted and thought he never had?

a)

A Brain

b)

To go home

c)

To not rust

d)

A Heart

87.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
88.
Find the slope of the line.
a)
1/4
b)
-1/4
c)
-4
d)
4
89.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
90.
What direction is an undefined slope?
a)
horizontal
b)
vertical
91.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
92.
How do you calculate slope using a graph?
a)
rise over run
b)
run over rise
c)
look at the y intercept
d)
look at the x intercept
93.

How many rolls of toilet paper are in an eight pack?

a)

2

b)

4

c)

6

d)

8

94.

How many NBA Championships has Michael Jordan won?

a)

2

b)

4

c)

6

d)

8

95.
What type of slope does the graph have?
a)
Positive
b)
Negative
c)
Zero Slope
d)
Undefined

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