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

Cumulative Exam — Cumulative exam Answers

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Which statement verifies that f(x) and g(x) are inverses of each other?

A
mc016-1.jpg
Option A
B
and
Option B
C
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Option C
D
and
Option D
2
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The formula to determine energy is . What is the formula solved for v?

Question illustration
A
v = plus-or-minus StartRoot StartFraction m Over 2 uppercase E EndFraction EndRoot
Option A
B
v = 2 uppercase E minus m
Option B
C
v = plus-or-minus StartRoot 2 uppercase E minus m EndRoot
Option C
D
v = plus-or-minus StartRoot StartFraction 2 uppercase E Over m EndFraction EndRoot
Option D
3

Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. Which statement must be true?

A
The pool must have been empty for the entire interval.
B
The pool must have been the same depth at the start of the interval as it was at the end of the interval.
C
The pool must have been deeper at the end of the interval than it was at the start of the interval.
D
The pool must have been more shallow at the end of the interval than it was at the start of the interval.
4

The graph shows the distance in miles of a runner over x hours. What is the average rate of speed over the interval [9, 11]?

Question illustration
A
Two-fifths
Option A
B
1
C
2
D
Five-halves
Option D
5

A beach has two floating docks. One is 650 meters east of the lifeguard stand. The other is 60° southeast and 750 meters from the lifeguard stand.Law of cosines:

Question illustration
A
589 meters
B
705 meters
C
792 meters
D
861 meters
6

A circle has a central angle measuring radians that intersects an arc of length 18 cm. What is the length of the radius of the circle? Round your answer to the nearest tenth. Use 3.14 for .

Question illustration
A
3.7 cm
B
4.9 cm
C
14.3 cm
D
15.4 cm
7

A water tank has 22 gallons of water. It begins to receive 26 gallons per hour for a number of hours. If the tank needs to fill to at least 516 gallons, which of the following is the minimum number of hours the tank should continue filling?

A
5.2
B
19
C
20.7
D
23
8

Law of cosines: a2 = b2 + c2 – 2bccos(A)

Question illustration
A
72 = 82 + 112 – 2(8)(11)cos(N)
B
82 = 72 + 112 – 2(7)(11)cos(M)
C
72 = 82 + 112 – 2(8)(11)cos(P)
D
82 = 72 + 112 – 2(7)(11)cos(P)
9

Triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches. What is the area of triangle RST? Round to the nearest square inch.Heron’s formula: Area

Question illustration
A
19 square inches
B
37 square inches
C
60 square inches
D
95 square inches
10

A cashier earns $7 an hour. If x is the number of hours worked, which function represents the cashier’s earnings?

A
y = 7x
B
y = x Superscript 7
Option B
C
y = StartFraction 7 Over x EndFraction
Option C
D
y = 7
Option D
11

A parallelogram has side lengths of 4 and 6 and an angle of measure 55°.Law of cosines: a2 = b2 + c2 – 2bccos(A)

Question illustration
A
3
B
5
C
6
D
7
12

The tables for f(x) and g(x) are shown below.xf(x)–5–11–21113529xg(x)–5–7–2–115513What is the value of (f – g)(5)?

A
–18
B
–4
C
16
D
42
13

The height in feet, h, of a model rocket t seconds after launch is given by the equation . The average rate of change in h(t) between t = 1 second and t = 3 second is 6. What does the average rate of change tell you about the rocket?

Question illustration
A
The rocket is traveling six times as fast when t = 3 than it is when t = 1.
B
The rocket is at a greater height when t = 3 than it is when t = 1.
C
The rocket is 6 feet higher above the ground when t = 3 than it is when t = 1.
D
The rocket is traveling at a constant rate of 6 feet per second between t = 1 and t = 3.
14

The graph of f(x) is shown below.If g(x) and f(x) are inverse functions, which graph represents g(x)?

Question illustration
A
On a coordinate plane, a curve opens up and to the left in quadrant 1. The curve starts at (0, 0) and curves up sharply through (2, 4).
Option A
B
On a coordinate plane, a curve opens down and to the left in quadrant 2. The curve starts at (0, 0) and gradually curves through (negative 4, 2).
Option B
C
On a coordinate plane, a curve opens open and to the left in quadrant 3. The curve starts at (0, 0) and curves gradually through (negative 4, negative 2).
Option C
D
On a coordinate plane, a curve opens up and to the left in quadrant 1. The curve starts at (0, 0) and curves up through (4, 1).
Option D
15

If f(x) = x2 – 25 and g(x) = x – 5, what is the domain of ?

Question illustration
A
all real values of x
B
all real values of x except x = 5
C
all real values of x except x = –5
D
all real values of x except x = 5 and x = –5
16

An angle that shares the same sine value of an angle that measures radians is located where?

Question illustration
A
Quadrant I
B
Quadrant II
C
Quadrant IV
D
along an axis
17

What is the approximate value of b, rounded to the nearest tenth? Use the law of sines to find the answer.

Question illustration
A
1.9 units
B
4.7 units
C
5.0 units
D
5.7 units
18

Which function is the inverse of ?

Question illustration
A
f Superscript negative 1 Baseline (x) = negative one-fifth x + four-fifths
Option A
B
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Option B
C
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Option C
D
mc014-5.jpg
Option D
19

If the function has an inverse function, which statement must be true?

Question illustration
A
b not-equals 0
Option A
B
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Option B
C
mc009-4.jpg
Option C
D
mc009-5.jpg
Option D
20

Angle B has a measure between 0° and 360° and is coterminal with a –865° angle. What is the measure of angle B?

A
110°
B
115°
C
210°
D
215°

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