________________________
Name:
Class:
Date:
ID: A
Chapter 6 Exam
4uItiple Choice
fc1entif’ the choice that best completes the statement or answers the question.
Find the slope of the line.
1.
—‘-—5
4
2
a.
a.
-
—‘i-
3
b.
b.
4
3
C.
—3
C.
—4
d.
3
d.
Find the slope of the line that passes through the pair of points.
3.
(1, 7). (10, 1)
3
a.
b.
2
-
C.
d.
4
ID:A
Na me:
4.
‘1at mistake did she
A student finds the slope of the line between (14, 1) and (18, 17). She wtes 1817
make?
a. She should have added the values, not subtracted them.
b. She used v-values where she should have used x-values.
c. She mixed up the x- and v-values.
d. She did not keep the order of the points the same in numerator and the denominator.
Find the slope andy-intercept of the line.
5.
3
y-x—3
a.
6.
4
3;-
b.
_3;4
c.
14x+4y2
3
2
a. —-;6
c.
b
d
3
d.
71
—;
Write an equation of a line with the given slope andy-intercept.
7. in1,b4
a. y’.4x+l
b. vx—4
c.
d.
v—lx+
4
4
vx+
Write the slope-intercept form of the equation for the line.
S.
a.
v3x—l
c.
b.
v—3x—l
d.
I
vx+l
_____
Na me:
lD:A
Match the equation with its graph.
9, —7x+7v—49
a.
c.
V
-/
--10
-8
—6
—4
0
—
2
x
-/
/
---
/
b.
d.
V
-
/
,1
(
$
—2
U
—10
4
4
-
)
.-.-----—.-—--—
———
,—H—H—-———-——
-&
—i-— —H
--—r-
-4-
-
..----
---
Write
a.
b.
y
=
—
—
—
—
—
—
—
+
—
—
—
.
10.
—
—
-4
—
-e
—
-8- —
—
—
—
—
—
—
—
—
—
—
x
-
—
—
—
7 in standard form using integers.
—2x+3y=21
3x—2v21
c.
d.
—iv--3y=21
—2x+3y7
11. The grocery store sells kumquats for $4.25 a pound and Asian pears for $2.25 a pound. Write an equation in
standard form for the weights of kumquats k and Asian pears p that a customer could buy with $18.
a. 4.25k + p
c. 4.25k = 2.25p + 18
25 = 18
.
2
b. 4.25p + 2.25k = 18
d. 4.25 + 2.25 = k
3
____
____
___________________________
ID: A
N a me:
Graph the equation.
12, y—3
a.
C.
—•-—-——•—t——---—
.
—•:-•-
-—.
—
—
--4
.5
—
-3
—---
—2
—
—I
3
—
—-———
—4
——
-—
—
4
Li_LJ
b.
d.
-3
V
—
—
—
..-----——- —.,.
—
—
--
—
—
—+-,,.
—
—
—-
-4
—2
—I
—3
V
—-
-—-
—
..----—
—
—-...L
—
—
—
—-
—
I.
--—.
--
—
——2
—
—I
—
—
—
—
—-
—
—
—
—
—
—
--
—
x
—t—
—
—a-
-3
—
—
.—
—
—
—
—
—
-
—
—
-
-—
—
—
—
—
—
—-
—
—
-ç
—
—
—
Write an equation for the line that is parallel to the given line and that passes through the given point.
13. y—5x+3;(--6,3)
a. y—5x+27
b. v—5x---27
c.
d.
4
y5x—9
y—Sx+9
____
Name:
lD:A
Write the equation of a line that is perpendicular to the given line and that passes through the given
point.
14. y=x+9;(-6,5)
a.
y=—x+1
c.
b.
y=—x
d.
+-
y=-x+9
Short Answer
15. Use the slope andy-intercept to graph the equation.
3
y = -jx —3
16. A line passes through (1, —5) and (—3, 7).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in standard form using integers.
ID: A
Na me:
17. The table below shows the height of a plant as it grows.
a. Use the data to write a SLOPE-INTERCEPT EQUATION to model the situation.
b. Based on your model, predict the height of the plant at 12 months.
Time (months)
Plant Height (cm)
3
9
5
15
7
21
9
27
Graph the equation.
IS. y+5—(x+2)
6
:i
n:
\:br I
r:tL,
3tandard ;‘l 2.!
Last summer Ben purchased materials to build model airplanes and then sold the finished models. He sold
ach model for the same amount of money. The table below shows the relationship between the number of
nodel airplanes sold and the running total of Ben’s profit.
Ben’s Model Airplane Sales
A.
Model
Airplanes
Sold
Total Profit
12
68
13
5140
20
5260
22
5308
Write a linear equation, in slope-intercept form, to represent the amount of Ben’s total protit ‘y)
based on the number of model airplanes (x) he sold.
y=
B.
How much did Ben spend on his model-building materials?
Continued next page
Pennsylvania Department of Education—Assessment Anchors and Eligible Content
Page 36
-
-ZL_
1
P’ease refer to tie preous page for task explanatIOfl
continued.
C.
-
VJhat
S
he fewest number at mode’ airplanes Ben needed to sell in order to rT’ake a profit?
‘ewest nurnoer: