By Brooke Norman
Unit Test
Name: ______________________ Date:
________
For problems 1 and 2, plot
the points, graph the line that contains these two points, and find the slope
of the line. Use the graph paper
provided for your answers.
1- (2,6); (5, 3)
2- (3, 7); (1, 10)
3- Determine if the following ordered pairs are
solutions for the equation of 5x + 2y=1.
a. (1,-2)
b. (2,3)
c. (-3, 8)
4- Graph using a table of values. Use 5 ordered pairs and plot on the
graph paper provided, labeling each point.
3x+y=5
For
problems 5 and 6, find the x- and y- intercepts of the equations and use the
intercepts to graph the equations separately. Use the graph paper provided for you.
5- 6x + 2y = 18
6- 2y -3x = 24
7- You are taking up the game of golf and are given 3
cases of golf balls (24 balls per case). You are told that this should last you
for at least 18 golf outings. The
equation of the line that models this loss of golf balls is y= -4x + 72. -4 is the slope and is how many balls
you may lose on a single game of golf, due to water hazards and bad shots. 72 is the number of balls you started
with. If you want to keep 8 balls
in your bag at all times, after how many golf outings will you have to purchase
more golf balls? Use your
knowledge of x- and y- intercepts to figure this out. Use the graph paper provided for you.
For
problems 8 and 9, find the slope of the line given.
8- 
9-
10- Find the constant of variation, k, when x = 4 and y =
-9, and write the direct variation equation.
11- Write the equation, 8x + 4y= 16 in slope-intercept
form and identify the slope and y-intercept.
For problems 12 and 13,
graph the following equations using the slope-intercept form of the line. Use the graph paper provided.
12- y= 6x + 3
13- 3y + 7x = 12
14- Determine which line(s) are parallel to the line of
y= 4x+2. Write ÔyesÕ next to the
ones that are parallel and ÔnoÕ next to the ones that are not parallel
a. -4x=3-2y
b. 3y= 4x-2
c. 4x + 4=y
d. y=2x + 4
For
problems 15 and 16, determine if the relations are functions or not. Write yes
or no.
15- 
16- 
17- Evaluate the function f(x)=6x Ð 1 for the following
values of x:
a. X=2
b. X=6
c. X=-3
For problems 18 and 19,
graph the linear function. Use the
graph paper provided for you.
18- f(x) = 4x +2
19- f(x) = -3x -6
20- Please explain the vertical line test and what it is
used for.
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