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All About Linear Functions

Total questions: 20

Worksheet time: 2hrs 41mins

Name
Class
Date
1.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
2.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
3.
Write a rule:  A plumber charges $50 for a house call plus $12 per hour for labor.
a)
y = 50 x + 12
b)
y = 50 + 12 x
c)
y = 62 x
d)
x = 50 + 12y
4.
Which is the graph of y=-x+2?
a)
A
b)
B
c)
C
d)
D
5.
Find slope:
a)
m= 4
b)
m=1/4
c)
m=-4
d)
m=-1/4
6.
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?
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
7.
Which panda is growing faster?
a)
Mochi
b)
Kappa
c)
Po the dragon warrior
d)
Jack Black
8.
What is the definition of a 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
9.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
10.

The slope of line AC is equal to  ABBC\frac{AB}{BC}  . What is the measure of the slope?

a)

2/3

b)

3/4

c)

3/2

d)

1/3

11.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
12.
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?
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
13.

What type of function is this equation:

y= -3x + 12

a)

Linear

b)

Nonlinear

14.
a)
negative
b)
positive
c)
undefined
d)
zero
15.

What type of function is this equation:

y= 4x

a)

Linear

b)

Nonlinear

16.

Which of the following is a linear function?

a)

f(x) = -3x2

b)

f(x) = -5x - 3x2

c)

f(x) = 3x3 - 4x2 + 5

d)

f(x) = 3x + 5

17.
a)
positive
b)
negative
c)
zero
d)
undefined
18.

Which of the following is a function?

a)
b)
c)
d)
19.
a)
undefined
b)
zero
c)
positive
d)
negative
20.

Identify the slope of EF in triangle DEF.

a)

1

b)

-1

c)

3

d)

-3