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Worksheets

Linear Relationships

Total questions: 33

Worksheet time: 38mins

Name
Class
Date
1.
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)
2.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values paired 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.

3.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
4.
Find the slope
a)
5/2
b)
-5/2
c)
2/5
d)
-2/5
5.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
6.
What is the slope?
a)
1/2
b)
2
c)
7
d)
3
7.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
8.

What is the equation for this graph?

a)

y = ⅔ x + 3

b)

y = -⅔ x + 3

c)

y = ⅔ x - 3

d)

y = -⅔ x - 3

9.

What is the equation for this graph?

a)

y = 2

b)

x = 2

c)

0

d)

undefined

10.

What is the slope of the line?

a)

y = 2

b)

x = 2

c)

0

d)

undefined

11.

What is the equation for this graph?

a)

y = 3

b)

x = 3

c)

0

d)

undefined

12.

What is the slope of the line?

a)

y = 3

b)

x = 3

c)

0

d)

undefined

13.

Which is the graph of y=-x+1?

a)

A

b)

B

c)

C

d)

D

14.
identify the outlier
a)
30, 100
b)
100, 30
c)
there is no outlier
15.

Choose the graph with a trend line that best fits the data.

a)

graph 1

b)

graph 2

c)

graph 3

d)

graph 4

16.
What does the slope represent in this situation?
a)
The sloth runs 1 feet in 3 minutes
b)
The sloth runs 3 feet in 1 minute
c)
The sloth runs fast
d)
The sloth runs 6 feet in 1 minute
17.
What is the solution to this system?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
18.
How many solutions will this system have? 
a)
No solution
b)
One Solution
c)
I Don't Know
d)
Infinitely Many Solutions
19.
Solve the system by graphing:
y = 6x - 4
y = -x + 3
a)
(1, 2)
b)
(2, 1)
c)
(4, 5)
d)
(2, 4)
20.
A yoga class in a fitness center charges a $200 registration fee plus $12 per lesson.  Write an equation to determine the amount of money a person will spend (y) for any number of lessons (x).
a)
y = 200x + 12
b)
x = 200 + 12y
c)
y = 12x + 200
21.

For the straight line y = -2x + 3, what are:

a) the slope

b) the y-intercept?

a)

a) Slope = 2

b) y-intercept = -3

b)

a) Slope = -2

b) y-intercept = 3

c)

a) Slope = 3

b) y-intercept = -2

d)

a) Slope = -3

b) y-intercept = 2

22.
Name the correlation in this graph
a)
Positive Correlation
b)
Negative Correlation
c)
No Correlation
d)
Lots of Correlation
23.
What type of relationship does this graph have?
a)
Positive
b)
Negative
c)
No Relationship
d)
Constant 
24.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
25.
Is the graph pictured a linear or nonlinear function?
a)
Linear
b)
Nonlinear
26.
What does the y-intercept represent?
a)
It costs $30 for each mile drive.
b)
There is an initial charge of $30 for the moving van.
c)
There is an initial charge of $2 for the moving van.
d)
It costs $1 for every 2 miles driven.
27.

Which equation represents the graph?

a)

y= 200x +50

b)

y = 50x + 250

c)

y = x + 200

d)

y = 50x + 200

28.
In order to be a function the following must be true.
a)
each x value has only one y value
b)
each y value has only one x value
c)
each x  has only one y & each y has only one x 
d)
each x and y are equal
29.
Is this table a function and how can you tell?
a)
Yes its a function because there are not variables for missing numbers
b)
No it's not a function because the y value 4 repeated
c)
No it isn't a function because the x value 2 is repeated
d)
No it's not a function because the x value 5 has y values of  10 & 12
30.
Make a prediction for a resting heart rate after 6 hours of exercise a week.
a)
6
b)
50
c)
55
d)
59
31.

y= 2x + 5

-2x + y= 5

a)

No Solution

b)

One Solution

c)

Infinitely Many Solutions

32.

Systems with the same slope and different y-intercepts have

a)

No Solution

b)

One Solution

c)

Infinitely Many Solutions

33.

Systems with the same slope and same y-intercepts have

a)

No Solution

b)

One Solution

c)

Infinitely Many Solutions

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