Chapter
8
8
Chapter Test
Chapter Test
x 2 Algebra Find the value of each variable. Leave your
•
•
•
•
•
•
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answer in simplest radical form.
L3 Ch. 8 Test
L2 Adapted Ch. 8 Test
L4 Ch. 8 Alternative
1.
x
7
Assessment
L3 Spanish Ch. 8 Test
L4 Spanish Ch. 8 Alternative
Assessment
L2 Informal Geometry Ch. 8
Test, Forms D & E
ExamView CD-ROM
• Ch. 8 Pre-Made Test
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2. 2 "14
15
"170
x
13
11
3.
4.
11
y
y
x
30⬚
12
x ≠ 4 "3 ; y ≠ 8 "3
x
x ≠ y ≠ 112"2
The lengths of three sides of a triangle are given.
Describe each triangle as acute, right, or obtuse.
5. 9 cm, 10 cm, 12 cm acute
6. 8 m, 15 m, 17 m right
2兹苵苵
57
22
Chapter Test
Name
L2
Class
L3
Date
Chapter Test
Form A
Solve each proportion for x.
1. 10
= 5
14
x
9
3. 51 = x
2. x
= 3
8
19
x = 2
4. x 1
1
5
Are the triangles similar? If so, write the similarity statement, and name the
postulate or theorem that you can use to prove they are similar. If not, write
not similar.
A
5.
X
X
6.
70
30
B
7. K
R
80
Y
P
50
C
6
4
40
30
9
Y
Z
M
Z
S
T
3 Q
C
8. A man 6 ft tall casts a shadow 4 ft long. At the same time, a building
casts a shadow 20 ft long. How tall is the building?
41
16.
Y
© Pearson Education, Inc. All rights reserved.
XY = ZW
A. ZW
MN
XZ = YW
C. WN
ZM
WN
B. ZM
XZ = YW
YN
D. XM
MN = MN
M
10
36
18. 9.5
x
3
x
x
5
–
2
14.
9
3
9
x⬚
19
x
Form A Test
21⬚
W
15 mi
E
90 m/h
S
E
S
50 mi
Describe the resultant as an ordered pair.
28.
29.
y
2
y
x
x
⫺2 O
2
⫺2 O
⫺2
2
具1, 8典
具4, 1典
30. A canoe heading 30° west of north is being paddled
at a rate of 7 mi/h. The current is pushing the canoe
20° south of west at a rate of 3 mi/h. Find the
resulting speed and direction of the canoe.
8.1 mph at 39 north of west
25
464
23.
a
Chapter 8 Chapter Test
c
x°
b
464
9
18
7
2
Geometry Chapter 8
19. 28 2兹苵苵
70
58⬚
15.
x
12
N
5
x
2
40⬚
7
13.
30
17. 18.7
x⬚
Find the value of x.
12.
W
x
11. Which proportion is true for the figure at the right?
O
371
150 m/h
6
10. Find the geometric mean of 10 and 18. If the answer is not a whole
number, leave it in simplest radical form.
W
25⬚ x
105
具95, –44典
具–133, –346典
Find the magnitude and direction of each vector.
26–27. See margin.
26.
27.
N
N
15. cos 768 = j 5.8
24
6
X
4
Find the value of x. Round lengths to the nearest tenth
and angle measures to the nearest degree.
9. Find the geometric mean of 3 and 27. If the answer is not a whole
number, leave it in simplest radical form.
Z
B
2
R
y
25.
y
7
"33 4 "33
7 , 7, 4
Find each missing value to the nearest tenth.
10. tan j8 = 1.11 48.0
11. tan 188 = j 28.3
87
5 8.9
12. sin 348 = j
13. sin j8 = 0.996 84.9
14. cos j8 = 12
15 36.9
Chapter 8
23. Writing Explain why sin x° = cos (90 - x)°.
Include a diagram with your explanation.
See margin.
O
兹苵苵
33
B
"57 8 "57
11 , 11 , 8
Adapted Chapter Test
22. A 5-foot-tall woman stands 15 ft from a statue. She
must look up at an angle of 60° to see the top of the
statue. How tall is the statue? about 31 ft
A
9.
16
A
20. A surveyor measuring the tallest tree in a park is
100 ft from the tree. His angle-measuring device is
5 ft above the ground. The angle of elevation to the
top of the tree is 48°. How tall is the tree?
about 116 ft
21. Twenty minutes after being launched, a hot-air
balloon has risen to an altitude of 300 m. The pilot
can still see the starting point on the ground at a
25° angle of depression. How many meters is the
balloon from the starting point? about 710 m
24.
Express sin B, cos B, and tan B as ratios.
C
Indirect Measurement Solve each problem.
Describe each vector using ordered pair notation.
Round the coordinates to the nearest unit.
7. 5 in., 6 in., 10 in. obtuse
8.
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sin x ≠ ac
cos(90 – x) ≠ ac
It follows that sin x ≠
cos(90 – x) by subst.
26. about 174.9 mi/h at
about 59 north of east
27. about 52.2 mi at about
73 east of south