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Mr. Sokoloski
***************
Algebra B
Chapter 11 PRACTICE Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Simplify the radical expression.
____
____
____
____
____
____
____
____
1.
a.
b.
c.
d.
a. 12
b. 12 2
c. 6
d.
2.
3.
a.
c.
b.
d.
4.
factor 1: 1
factpr 2: 11
common factor: 2
a.
b.
c.
d.
a.
b.
c.
d.
a.
b.
c.
d.
a. 4 5
b.
c.
d.
5.
6.
7.
8. A student visiting the Sears Tower Skydeck is 1353 feet above the ground. Find the distance the student can
see to the horizon. Use the formula
to approximate the distance d in miles to the horizon when h
is the height of the viewer’s eyes above the ground in feet. Round to the nearest mile.
a. 45 miles
b. 601 miles
c. 36 miles
d. 1010 miles
Simplify the radical expression by rationalizing the denominator.
____
9.
a.
b.
c.
d.
Simplify the expression.
____ 10.
a.
b.
c.
d.
a.
b.
c.
d.
____ 11.
____ 12. (6 –
a.
b.
11 )(6 +
11 )
c. –85
d. 25
____ 13.
a.
b.
c.
d.
a.
c.
b.
d.
____ 14.
____ 15. Find an exact solution for
. Then find the approximate solution to the nearest tenth.
a.
c. –2; –2
b.
d.
Solve the equation. Check your solution.
____ 16.
a. 6
b. 144
c. 2 3
d. 12
a. 126
b. 6
c. 17
d. 116
a. –3
b. 5
c. –5
d.
____ 17.
____ 18.
1
5
Match the function with its graph.
____ 19.
y
a.
–10 –8
–6
–4
y
c.
10
10
8
8
6
6
4
4
2
2
–2
–2
2
4
6
8
10
x
–10 –8
–6
–4
–2
–2
–4
–4
–6
–6
–8
–8
–10
–10
y
b.
2
4
6
8
10
x
10
12
14
16
18
x
2
4
6
8
10
x
y
d.
10
12
8
10
6
8
4
6
2
4
2
–10 –8
–6
–4
–2
–2
2
4
6
8
10
x
–4
–2
–2
–6
–4
–8
–6
–10
–8
2
4
6
8
____ 20.
y
a.
–10 –8
–6
–4
y
c.
10
10
8
8
6
6
4
4
2
2
–2
–2
2
4
6
8
10
x
–10 –8
–6
–4
–2
–2
–4
–4
–6
–6
–8
–8
–10
–10
y
b.
–10 –8
–6
–4
y
d.
10
10
8
8
6
6
4
4
2
2
–2
–2
2
4
6
8
10
x
–10 –8
–6
–4
–2
–2
–4
–4
–6
–6
–8
–8
–10
–10
2
4
6
8
10
x
2
4
6
8
10
x
2
4
6
8
10
x
____ 21.
y
a.
–10 –8
–6
–4
10
10
8
8
6
6
4
4
2
2
–2
–2
2
4
6
8
10
x
–4
–6
–4
–2
–2
–4
–6
–6
–8
–8
–10
–10
y
–6
–10 –8
–4
b.
–10 –8
y
c.
y
d.
10
10
8
8
6
6
4
4
2
2
–2
–2
2
4
6
8
10
x
–10 –8
–6
–4
–2
–2
–4
–4
–6
–6
–8
–8
–10
–10
____ 22. Find the value of sin 66°. Round to the nearest ten-thousandth.
a. 0.4067
b. 2.246
c. 0.9135
Find the value of x to the nearest tenth.
d. –0.0266
____ 23.
x
57 °
6
a. 2.9
b. 3.3
c. 9.2
d. 5
____ 24.
x
35 °
9
a. 12.9
b. 6.3
c. 11
d. –10
____ 25. Suppose you live 4.4 miles from a hill. From your home you see a plane directly above the hill. Your angle of
elevation to the plane is 30°. What is the plane’s altitude?
a. –28.2 miles
b. 3.8 miles
c. 2.2 miles
d. 2.5 miles
____ 26. A ranger spots a forest fire while on a 45-meter observation tower. The angle of depression from the tower to
the fire is 12°. To the nearest meter, how far is the fire from the base of the tower?
a. 212 meters
b. 10 meters
c. 216 meters
d. 71 meters
____ 27. a. Find the value of each variable to the nearest tenth.
b. Find the perimeter of the triangle to the nearest tenth.
a
21
c
55°
a. a = 30, c = 36.6, perimeter = 87.6
b. a = 36.6, c = 30, perimeter = 87.6
c. a = 36.6, c = 17.2, perimeter = 74.8
d. a = 17.2, c = 36.6, perimeter = 74.8
____ 28. Use
to find the value of cos A.
B
25
7
A
C
a.
24
25
b.
24
7
25
c.
7
24
d.
24
7
Mr. Sokoloski
***************
Answer Section
Algebra B
Chapter 11 PRACTICE Test
MULTIPLE CHOICE
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C
PTS: 1
DIF: L2
REF: 11-1 Simplifying Radicals
11-1.1 Simplifying Radical Expressions Involving Products
NAEP 2005 N3a | NAEP 2005 N5b | NAEP 2005 A3b | NAEP 2005 A3c | ADP J.1.1 | ADP J.1.6
11-1 Example 1
radical expressions | Multiplication Property of Square Roots | square root
A
PTS: 1
DIF: L2
REF: 11-1 Simplifying Radicals
11-1.1 Simplifying Radical Expressions Involving Products
NAEP 2005 N3a | NAEP 2005 N5b | NAEP 2005 A3b | NAEP 2005 A3c | ADP J.1.1 | ADP J.1.6
11-1 Example 1
radical expressions | Multiplication Property of Square Roots | square root
C
PTS: 1
DIF: L2
REF: 11-1 Simplifying Radicals
11-1.1 Simplifying Radical Expressions Involving Products
NAEP 2005 N3a | NAEP 2005 N5b | NAEP 2005 A3b | NAEP 2005 A3c | ADP J.1.1 | ADP J.1.6
11-1 Example 2
radical expressions | Multiplication Property of Square Roots | square root
B
PTS: 1
DIF: L2
REF: 11-1 Simplifying Radicals
11-1.1 Simplifying Radical Expressions Involving Products
NAEP 2005 N3a | NAEP 2005 N5b | NAEP 2005 A3b | NAEP 2005 A3c | ADP J.1.1 | ADP J.1.6
11-1 Example 3
multiplying two radicals | Multiplication Property of Square Roots | radical expressions
D
PTS: 1
DIF: L2
REF: 11-1 Simplifying Radicals
11-1.2 Simplifying Radical Expressions Involving Quotients
NAEP 2005 N3a | NAEP 2005 N5b | NAEP 2005 A3b | NAEP 2005 A3c | ADP J.1.1 | ADP J.1.6
11-1 Example 5
Division Property of Square Roots | radical expressions | fractions within a radical
B
PTS: 1
DIF: L2
REF: 11-1 Simplifying Radicals
11-1.2 Simplifying Radical Expressions Involving Quotients
NAEP 2005 N3a | NAEP 2005 N5b | NAEP 2005 A3b | NAEP 2005 A3c | ADP J.1.1 | ADP J.1.6
11-1 Example 5
Division Property of Square Roots | radical expressions | fractions within a radical
A
PTS: 1
DIF: L2
REF: 11-1 Simplifying Radicals
11-1.2 Simplifying Radical Expressions Involving Quotients
NAEP 2005 N3a | NAEP 2005 N5b | NAEP 2005 A3b | NAEP 2005 A3c | ADP J.1.1 | ADP J.1.6
11-1 Example 6
simplying radicals by dividing | square root | radical expressions | fractions within a radical
A
PTS: 1
DIF: L2
REF: 11-1 Simplifying Radicals
11-1.1 Simplifying Radical Expressions Involving Products
NAEP 2005 N3a | NAEP 2005 N5b | NAEP 2005 A3b | NAEP 2005 A3c | ADP J.1.1 | ADP J.1.6
11-1 Example 4
Multiplication Property of Square Roots | radical expressions | word problem | problem solving
A
PTS: 1
DIF: L2
REF: 11-1 Simplifying Radicals
11-1.2 Simplifying Radical Expressions Involving Quotients
NAEP 2005 N3a | NAEP 2005 N5b | NAEP 2005 A3b | NAEP 2005 A3c | ADP J.1.1 | ADP J.1.6
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
TOP:
KEY:
ANS:
REF:
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11-1 Example 7
radical expressions | rationalize | radicand in the denominator
A
PTS: 1
DIF: L2
11-2 Operations With Radical Expressions
11-2.1 Simplifying Sums and Differences
NAEP 2005 A3b | ADP I.4.1 | ADP J.1.1
TOP: 11-2 Example 1
like radicals | combining like radicals
C
PTS: 1
DIF: L2
11-2 Operations With Radical Expressions
11-2.1 Simplifying Sums and Differences
NAEP 2005 A3b | ADP I.4.1 | ADP J.1.1
TOP: 11-2 Example 2
like radicals | combining like radicals | radical expressions
D
PTS: 1
DIF: L2
11-2 Operations With Radical Expressions
11-2.2 Simplifying Products and Quotients
NAEP 2005 A3b | ADP I.4.1 | ADP J.1.1
TOP: 11-2 Example 4
FOIL | radical expressions | Multiplication Property of Square Roots
B
PTS: 1
DIF: L2
11-2 Operations With Radical Expressions
11-2.2 Simplifying Products and Quotients
NAEP 2005 A3b | ADP I.4.1 | ADP J.1.1
TOP: 11-2 Example 3
Multiplication Property of Square Roots | Distributive Property | radical expressions
D
PTS: 1
DIF: L3
11-2 Operations With Radical Expressions
11-2.2 Simplifying Products and Quotients
NAEP 2005 A3b | ADP I.4.1 | ADP J.1.1
TOP: 11-2 Example 5
radical expressions | rationalize | conjugates
A
PTS: 1
DIF: L2
11-2 Operations With Radical Expressions
11-2.2 Simplifying Products and Quotients
NAEP 2005 A3b | ADP I.4.1 | ADP J.1.1
TOP: 11-2 Example 6
radical expressions | rationalize | radical equation | Multiplication Property of Square Roots
B
PTS: 1
DIF: L2
REF: 11-3 Solving Radical Equations
11-3.1 Solving Radical Equations TOP: 11-3 Example 1
radical | radical equation | solving equations
D
PTS: 1
DIF: L2
REF: 11-3 Solving Radical Equations
11-3.1 Solving Radical Equations TOP: 11-3 Example 1
radical | radical equation | solving equations
B
PTS: 1
DIF: L2
REF: 11-3 Solving Radical Equations
11-3.1 Solving Radical Equations TOP: 11-3 Example 3
radical | radical equation | solving equations | equations with radical expressions on both sides
B
PTS: 1
DIF: L3
11-4 Graphing Square Root Functions
11-4.2 Translating Graphs of Square Root Functions
NAEP 2005 M1e | ADP J.1.6 | ADP J.2.2 | ADP J.2.3 | ADP K.6
translation | square root | graphing
B
PTS: 1
DIF: L2
11-4 Graphing Square Root Functions
11-4.2 Translating Graphs of Square Root Functions
NAEP 2005 M1e | ADP J.1.6 | ADP J.2.2 | ADP J.2.3 | ADP K.6
TOP:
21. ANS:
REF:
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TOP:
22. ANS:
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23. ANS:
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24. ANS:
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26. ANS:
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27. ANS:
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28. ANS:
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KEY:
11-4 Example 3
KEY: translation | square root | graphing
D
PTS: 1
DIF: L2
11-4 Graphing Square Root Functions
11-4.2 Translating Graphs of Square Root Functions
NAEP 2005 M1e | ADP J.1.6 | ADP J.2.2 | ADP J.2.3 | ADP K.6
11-4 Example 4
KEY: translation | square root | graphing
C
PTS: 1
DIF: L2
REF: 11-5 Trigonometric Ratios
11-5.1 Finding Trigonometric Ratios
ADP I.1.2 | ADP I.4.1 | ADP K.11.1 | ADP K.11.2
TOP: 11-5 Example 2
sine | cosine | tangent | trigonometric ratios | calculator
C
PTS: 1
DIF: L2
REF: 11-5 Trigonometric Ratios
11-5.1 Finding Trigonometric Ratios
ADP I.1.2 | ADP I.4.1 | ADP K.11.1 | ADP K.11.2
TOP: 11-5 Example 3
tangent | sine | cosine | trigonometric ratios | right triangle
C
PTS: 1
DIF: L2
REF: 11-5 Trigonometric Ratios
11-5.1 Finding Trigonometric Ratios
ADP I.1.2 | ADP I.4.1 | ADP K.11.1 | ADP K.11.2
TOP: 11-5 Example 3
cosine | right triangle | sine | tangent | trigonometric ratios
D
PTS: 1
DIF: L2
11-6 Angles of Elevation and Depression
11-6.1 Solving Problems Using Trigonometric Ratios
NAEP 2005 M1f | NAEP 2005 M1m | ADP I.1.2 | ADP I.4.1 | ADP K.2.3 | ADP K.11.1 | ADP K.11.2
11-6 Example 1
angle of elevation | trigonometric ratios | tangent | word problem | problem solving
A
PTS: 1
DIF: L2
11-6 Angles of Elevation and Depression
11-6.1 Solving Problems Using Trigonometric Ratios
NAEP 2005 M1f | NAEP 2005 M1m | ADP I.1.2 | ADP I.4.1 | ADP K.2.3 | ADP K.11.1 | ADP K.11.2
11-6 Example 2
angle of elevation | trigonometric ratios | tangent | word problem | problem solving
A
PTS: 1
DIF: L3
REF: 11-5 Trigonometric Ratios
11-5.1 Finding Trigonometric Ratios
ADP I.1.2 | ADP I.4.1 | ADP K.11.1 | ADP K.11.2
TOP: 11-5 Example 3
cosine | sine | tangent | trigonometric ratios | perimeter | multi-part question
A
PTS: 1
DIF: L2
REF: 11-5 Trigonometric Ratios
11-5.1 Finding Trigonometric Ratios
ADP I.1.2 | ADP I.4.1 | ADP K.11.1 | ADP K.11.2
TOP: 11-5 Example 3
trigonometric ratios | sine | cosine | tangent | right triangle
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