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Comparing Slopes and Intercepts of Functions

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Which linear function has the greatest slope?

a)

A

b)

B

c)

C

d)

D

2.

Who has the greater rate of change?

a)

Tyler has the greater rate of change with 2/3

b)

Aubri has the greater rate of change with 3/2

c)

Tyler has the greater rate of change with 3/2

d)

They have the same rate of change.

3.

Determine the slope. 

a)

-5

b)

5

c)

-1/5

d)

1/5

4.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

5.

Which equation has a greater slope?

a)

Equation A

b)

Equation B

c)

They have the same slope

6.

Equation A:   y = 2x + 3
Equation B:   y = 3x - 3
Which equation has a higher slope? 

a)

Equation A

b)

Equation B

c)

They have the same slope

7.
a)
A
b)
B
c)
C
d)
D
8.

How do the slopes of the graphs compare?

a)

Jack charges more per gallon of water.

b)

Jill charges more per gallon of water.

c)

Jack carries more water.

d)

Jill carries more water.

9.
a)
The rate of change of f(x) is less than the rate of change of g(x)
b)
The rate of change of f(x) is greater than the rate of change of g(x) 
c)
The y intercept of f(x) is equal to the rate of change of g(x) 
d)
The y intercept of f(x) is greater than the rate of change of g(x)
10.

Which equation has a higher slope?

4 lines
11.

Select the correct answer

a)

A

b)

B

c)

C

d)

D

12.

What is the rate of change?

a)

y

b)

m

c)

x

d)

b

13.

Compare the initial values of each function.

a)

The initial value of item I is greater than the initial value of item II.

b)

The initial value of item I is equal to the initial value of item II.

c)

The initial value of item II is greater than the initial value of item I.

14.

Which company shows a greater rate of change?

a)

Water's Edge Rafts

b)

Ryan's Rafts

15.

Who has the greater rate of change?

a)

Hunter has the greater rate of change.

b)

Casey has the greater rate of change 

c)

They have the same rate of change

16.

Who has the greater rate of change?

a)

Braden has the greater rate of change with 60/3

b)

Omar has the greater rate of change with 100

c)

Braden has the greatest rate of change with 60

d)

They both have the same rate of change

17.

What is the y - intercept?

a)

0

b)

5

c)

- 4

d)

4

18.

What has the GREATER rate of change.

a)

y = 7x + 10

b)

Someone who starts with $6 and gets $8 each day.

c)

y = 5x + 20

d)

Someone who starts with $8 and gets $6 each day.

19.

The table below shows some of the values for the linear function f.


Let g be the linear function defined by g(x) = 4x + 5.


Which statement is true?

a)

The graph of f has a greater slope than the graph of g.

b)

The graph of g has a greater slope than the graph of f.

c)

The graph of f has the same slope as the graph of g.

d)

The slopes of the graphs of f and g are undefined.

20.

Marion compared the y-intercept of the function, f(x), shown in the table, to the y-intercept of the function, g(x), on the graph.


What is the distance between the y-intercepts of f(x) and g(x)?

a)

0 units

b)

4 units

c)

12 units

d)

20 units