Test 8 Review
1. If the line 8 x + 4 y = 16 were graphed, what
would be the y-intercept?
3. Which of the following representation of
linear functions does not represent a rate
of change of 6?
A (0, 4)
A 12 x − 2 y = 24
B (0, 2)
C (0, 0)
B y = −6 x + 6
D (0, 16)
C
x
y
2. The cost of a cell phone plan is a function
of the number of minutes talked. The cost
of four months is shown in the table.
Minutes
100
125
175
250
-1
-6
0
0
2
6
3
12
D
Cost
$50.00
$57.50
$72.50
$95.00
If the data is graphed with minutes talked
on the horizontal axis and cost on the
vertical axis, what does the y-intercept
represent?
A A rate of $.30 a minute
B The monthly cost with 0 minutes
talked
4. Write the equation of the line given the
points (3, 0) and (0, 9).
A
1
y = − x+3
3
B
1
y = − x+9
3
C
y=
3
x+3
1
D
y=
3
x+9
1
C An increase of $7.50 every 25 minutes.
D The total cost of the monthly bill.
5
Graph a line with the same y-intercept as
y = −x + 3 .
7
Graph the linear equation y = −2 x + 5
10
10
8
8
6
6
4
4
2
2
-10 -8 -6 -4 -2
-10 -8 -6 -4 -2
2
4
6
8 10
2
4
6
8 10
-2
-2
-4
-4
-6
-6
-8
-8
-10
-10
6
Graph the line y =
3
x + 4 on the grid
2
below.
Identify the slope and y-intercept of the
line.
m = _________
b = _________
Write the equation of the line if the line is
shifted down 7 units.
Make the parameter changes:
__________________________________
Slope is multiplied by -1 :
m = ______
Graph the new line below.
Y-intercept remains constant:
b = ______
10
Equation: ___________________
8
Graph the new equation on the grid
above.
6
4
2
-10 -8 -6 -4 -2
2
-2
-4
-6
-8
-10
4
6
8 10
8
Graph and Label the following lines on the graph below. Answer the questions that follow
using the graph and the equations.
10
8
y=1 x
2
6
4
y = −6 x
y=−8 x
4
2
-10 -8 -6 -4 -2
y = 4x
2
4
6
8 10
-2
-4
-6
-8
-10
What is the same for all the lines? __________________________________
What is different for all the lines? ___________________________________
Which line is the steepest? _________
How can you tell on a graph? _________________________________________
How can you tell from the equation?___________________________________
9
Given the equation y = 1/4x, explain how
to make the graph of the line steeper.
Explain how to make the graph of the line
more shallow.
12 The graph of the line y = 4/5x -7 has been
changed. The changed line is graphed
below. Write a statement that describes
the changes that were made to get the
graph.
y
7
6
5
4
3
2
1
–7 –6 –5 –4 –3 –2 –1
–1
–2
–3
–4
10 Describe the relationship between the
graphs of the equations
y = 4x + 4 and y = 4x + 7?
11 Describe the effect on the graph of the
equation y = 5x - 7 if the -7 is changed to
+6?
–5
–6
–7
1
2
3
4
5
6
7
x
13 Use this information to answer the questions that follow.
Tyrell is playing basketball. So far this year he has scored 25 points. He wants to see how many points he
is going to score over the next few games.
Scoring Option 1
He has scored 25 points so far this season and she
Scoring Option 2
He has scored 25 points so far this season and he
plans on scoring 6 points per game for the rest of
plans on scoring 5 points per game for the rest of
the season.
the season.
Write the equation that represents this situation.
Write the equation that represents this situation.
_________________________.
_________________________.
Complete a table for option 1.
Complete a table for option 2.
Graph your points.
Graph your points.
14. Explain how the two options are the same in terms of the slope and y-intercept: ______________________
_________________________________________________________________________________________________________
15. Explain how the two options are different in terms of the slope and y-intercept: ______________________
_________________________________________________________________________________________________________
16. The equations of four lines are given.
Identify which lines are parallel.
Line 1: y = −7x + 6
1
5y
Line 2:
x+
Line 3:
y = −5x – 8
Line 4:
y + 7 = − 1 (x + 4)
= –6
For number 22-24 use the answer bank
provided below to match these lines with
the slope that describes them.
22.
7
a. Lines 2 and 3
are parallel.
b. Lines 1 and 2
are parallel.
c. All four lines
are parallel.
d. Lines 1 and 4
are parallel.
23.
17. Identify the lines that are perpendicular:
24.
a.
and
are perpendicular.
b. None of the lines are perpendicular.
c.
and
are
d.
perpendicular.
and
are perpendicular;
and
are
perpendicular.
For number 18-21 use the equation below.
y = 2 x −5
3
18. Give an equation that would make the
graph steeper.
19. Give an equation that would make the
graph less steep.
20. Give an equation that would make the
graph translate up 7 units.
21. Give an equation that would make the
graph translate down 4 units.
A.
slope is undefined
B.
slope is negative
C.
slope is positive
D.
slope is zero
25. A parking meter gives 15 minutes for each
quarter and 3 minutes for each nickel. The
equation 15 x + 3 y = 60 describes the
number of quarters x and nickels y that
you need to park for 60 minutes. Graph
the function and find its intercepts. What
does each intercept represent?
26. Amelia is a car saleswoman. She is paid a
salary of $2000 per month plus $700 for
each car that she sells. Her salary can be
modeled by the equation
where x is the number of cars sold. Graph
this equation and give its domain and
range.
y
y
x
x