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Linear Functions Review

Total questions: 15

Worksheet time: 30mins

Name
Class
Date
1.

Write an equation of the line in slope-intercept form:

a)

 y=32x−3y=\frac{3}{2}x-3  

b)

 y=6x+3y=6x+3  

c)

 y=32x+3y=\frac{3}{2}x+3  

d)

 y=4x−3y=4x-3  

2.

.Use the graph to determine the equation of the line in slope-intercept form.

a)

y = 3x + 3

b)

y = 1/3x + 3

c)

y = -1/3x +3

d)

y = - 3x + 3

3.

What is the y-intercept of this line?

a)

-3

b)

-2

c)

0

4.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
5.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2
d)
-2
6.
If the graph of the parent function f(x) = x is shifted 7 units
down, which of the following equations would the new graphed
line represent?
a)
f(x) = 7x
b)
f(x) = x - 7
c)
f(x) = x + 7
d)
f(x) = 7x - 7
7.

Describe the transformation from the parent function: y = 3x + 5

a)

Steeper; Shift up 5 units

b)

Steeper; Shift down 5 units

c)

Flatter; Shift up 5 units

d)

Flatter; Shift down 5 units

8.

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

a)

Graph g is a reflection.

b)

Graph g shifts down 2 units.

c)

Graph g is steeper by a factor of 2

d)

Graph g is less steeper by a factor of 1/2

9.

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

a)

Graph g reflected

b)

Graph g shifted up 2 units

c)

Graph g reflected and shifted down 2 units.

d)

Graph g reflected and shifted up 2 units

10.

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

a)

Graph g is less steep by a factor of 1/5

b)

Graph g shifted down 1 unit

c)

Graph g is steeper by a factor of 1/5

d)

Graph g shifted up 2 units

11.
What is the x- intercept of the line?
a)
(0,-2)
b)
(0,-1)
c)
(-1,0)
d)
(-2,0)
12.
In the equation, y = mx + b, the letter b is the ___________.
a)
y-intercept
b)
x-intercept
c)
slope
d)
rate of change
13.

Describe the following graph.

a)

Increasing

b)

Decreasing

c)

Vertical

d)

Horizontal

14.
Consider the equation:
y=-x+4
Identify the slope and y-intercept.
a)
m=4, b=-x
b)
m=-x, b=4
c)
m=1, b=4
d)
m=-1, b=4
15.

A negative slope always ____________________ the function across the y-axis

a)

stretches

b)

compresses

c)

reflects

d)

dilates