AnswersDSD-CR-Secondary Math III-Term 3Cumulative Exam

Cumulative Exam — Cumulative exam Answers

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In the diagram below, = . What is the value of m?

Question illustration
A
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
Option A
B
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Option B
C
StartRoot 3 EndRoot
Option C
D
2 StartRoot 3 EndRoot
Option D
22
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Law of cosines: a2 = b2 + c2 – 2bccos(A)

Question illustration
A
43°
B
49°
C
53°
D
58°
23

A napkin is folded into an isosceles triangle, triangle ABC, and placed on a plate, as shown. The napkin has a perimeter of 38 centimeters.Trigonometric area formula: Area =

Question illustration
A
16 square centimeters
B
30 square centimeters
C
56 square centimeters
D
60 square centimeters
24

An angle whose measure is 92° is in standard position. In which quadrant does the terminal side of the angle fall?

A
Quadrant I
B
Quadrant II
C
Quadrant III
D
Quadrant IV
25

Which represents the solution set of the inequality

Question illustration
A
x less-than-or-equal-to twelve-fifths
Option A
B
x greater-than-or-equal-to twelve-fifths
Option B
C
x greater-than-or-equal-to 6
Option C
D
x less-than-or-equal-to 6
Option D
26

Heron’s formula: Area =

Question illustration
A
17.75 square units
B
81.33 square units
C
372.71 square units
D
957.74 square units
27

Angle T has a measure between 0° and 360° and is coterminal with a –710° angle. What is the measure of angle T?

A
5°
B
10°
C
15°
D
20°
28

Which function has an inverse that is also a function?

A
{(–1, –2), (0, 4), (1, 3), (5, 14), (7, 4)}
B
{(–1, 2), (0, 4), (1, 5), (5, 4), (7, 2)}
C
{(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)}
D
{(–1, 4), (0, 4), (1, 2), (5, 3), (7, 1)}
29

The average rate of change of g(x) between x = 4 and x = 7 is . Which statement must be true?

Question illustration
A
g (7) minus g (4) = five-sixths
Option A
B
StartFraction g (7 minus 4) Over 7 minus 4 EndFraction = five-sixths
Option B
C
StartFraction g (7) minus g (4) Over 7 minus 4 EndFraction = five-sixths
Option C
D
StartFraction g (7) Over g (4) EndFraction = five-sixths
Option D
30

If f(x) = 3x2 + 1 and g(x) = 1 – x, what is the value of (f – g)(2)?

A
12
B
14
C
36
D
38
31

The equation is the slope-intercept form of the equation of a line. What is the equation solved for b?

Question illustration
A
y minus m = b
Option A
B
y minus m x = b
Option B
C
StartFraction y Over m x EndFraction = b
Option C
D
StartFraction y Over m EndFraction minus x = b
Option D
32

If y varies directly as x, and y is 180 when x is n and y is n when x is 5, what is the value of n?

A
6
B
18
C
30
D
36
33

A taxi service charges a flat fee of $1.25 and $0.75 per mile. If Henri has $14.00, which of the following shows the number of miles he can afford to ride in the taxi?

A
m less-than-or-equal-to 17
Option A
B
m greater-than-or-equal-to 17
Option B
C
m less-than-or-equal-to 20.3
Option C
D
m greater-than-or-equal-to 20.3
Option D
34

The terminal side of an angle in standard position passes through P(–3, –4). What is the value of ?

Question illustration
A
tangent theta = Negative four-thirds
Option A
B
tangent theta = Negative three-fourths
Option B
C
Tangent theta = three-fourths
Option C
D
Tangent theta = four-thirds
Option D
35

If y varies directly as x, and y is 6 when x is 72, what is the value of y when x is 8?

A
y = one-ninth
Option A
B
y = two-thirds
Option B
C
54
D
96
36

If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?

A
6 – 3 – (4 + 3)2
B
6 – 3 – (4 – 32)
C
6(3) – 4 + 32
D
6(3) – 4 – 32
37

Keisha and David each found the same value for , as shown below, given .Keisha’s SolutionDavid’s SolutionWhose procedure is correct?

Question illustration
A
Keisha’s procedure is correct.
B
David’s procedure is correct.
C
Both procedures are correct.
D
Neither procedure is correct.
38

What is the value of in the diagram below?

Question illustration
A
StartFraction 7 Over 25 EndFraction
Option A
B
StartFraction 7 Over 24 EndFraction
Option B
C
StartFraction 24 Over 25 EndFraction
Option C
D
StartFraction 24 Over 7 EndFraction
Option D
39

The graph shows the distance a ball has traveled x seconds after it was thrown. What is the average speed between 2 seconds and 8 seconds.

Question illustration
A
0.5 meters per second
B
0.8 meters per second
C
2 meters per second
D
3 meters per second
40

Based on Pythagorean identities, which equation is true?

A
sine squared theta minus 1 = cosine squared theta
Option A
B
secant squared theta minus tangent squared theta = negative 1
Option B
C
negative cosine squared theta minus 1 = negative sine squared theta
Option C
D
cotangent squared theta minus cosecant squared theta = negative 1
Option D

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