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

Cumulative Exam — Cumulative exam Answers

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Which two functions are inverses of each other?

A
,
Option A
B
,
Option B
C
,
Option C
D
,
Option D
2
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If what is the value of w in terms of x and y?

Question illustration
A
w = StartFraction x minus 3 y Over 3 EndFraction
Option A
B
w = StartFraction x minus 3 y + 1 Over 3 EndFraction
Option B
C
w = x minus 3 y + 1
Option C
D
w = StartFraction x + 1 Over 9 y EndFraction
Option D
3

If m(x) = x2 + 3 and n(x) = 5x + 9, which expression is equivalent to (mn)(x)?

A
5x3 + 9x2 + 15x + 27
B
25x2 + 90x + 84
C
x2 + 5x + 12
D
5x2 + 24
4

How long is the arc intersected by a central angle of radians in a circle with a radius of 2 ft? Round your answer to the nearest tenth. Use 3.14 for .

Question illustration
A
2.6 ft
B
7.0 ft
C
10.5 ft
D
31.4 ft
5

Nine and one-half less than four and one-half times a number is greater than 62.5. Which of the following represents the solution set of this problem?

A
(16, positive infinity)
Option A
B
(Negative 16, positive infinity)
Option B
C
(Negative infinity, 16)
Option C
D
(Negative infinity, Negative 16)
Option D
6

The graph below shows the number of houses sold over x days. What is the average rate of change from day 2 to day 10?

Question illustration
A
Negative four-thirds
Option A
B
Negative three-fourths
Option B
C
6
D
8
7

If f(x) = –x2 + 3x + 5 and g(x) = x2 + 2x, which graph shows the graph of (f + g)(x)?

A
On a coordinate plane, a straight line with a negative slope crosses the y-axis at (0, 5) and crosses the x-axis at (1, 0).
Option A
B
On a coordinate plane, a parabola opens down. It goes through (negative 2, negative 4), has a vertex at (0, 5), and goes through (2, negative 2)
Option B
C
On a coordinate plane, a parabola opens up. It goes through (negative 3, 7), has a vertex at (negative 1, 2), and goes through (0, 5).
Option C
D
On a coordinate plane, a straight line with a positive slope crosses the x-axis at (negative 1, 0) and crosses the y-axis at (0, 5)
Option D
8

If is the inverse of and , what is ?

Question illustration
A
g (x) = 12 x + 4
Option A
B
g (x) = one-fourth x minus 12
Option B
C
g (x) = x minus 3
Option C
D
g (x) = one-fourth x minus 3
Option D
9

Triangle KLM represents a section of a park set aside for picnic tables. The picnic area will take up approximately 400 square yards in the park.Trigonometric area formula: Area =

Question illustration
A
95 yards
B
107 yards
C
160 yards
D
190 yards
10

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

Question illustration
A
10
B
12
C
13
D
14
11

Given that , what is the value of ?

Question illustration
A
Plus-or-minus StartRoot eight-thirds EndFraction
Option A
B
Plus-or-minus StartRoot eleven-eighths EndFraction
Option B
C
Eleven-eighths
Option C
D
Eight-thirds
Option D
12

The total number of degrees, D, in an n-sided polygon is given by the formula When Janelle solves for n, she gets . Sophie solved the same equation for n and got an equivalent equation. Which of the following could be Sophie’s equation?

Question illustration
A
n = StartFraction D Over 360 EndFraction + 2
Option A
B
n = StartFraction D Over 180 EndFraction minus 2
Option B
C
n = D minus 178
Option C
D
n = D minus 182
Option D
13

What property is used in the second step of solving the inequality below?______Given_________________________Multiplication Property

Question illustration
A
Identity Property
B
Addition Property
C
Multiplication Property
D
Transitive Property
14

Law of sines:

Question illustration
A
No triangles can be formed.
B
One triangle can be formed where angle B is about 15°.
C
One triangle can be formed where angle B is about 40°.
D
Two triangles can be formed where angle B is 40° or 140°.
15

For which interval is the average rate of change of f(x) negative?

Question illustration
A
from x = –3.5 to x = –1
B
from x = –3 to x = 3
C
from x = 0 to x = 2.5
D
from x = 3 to x = 4.5
16

What is the value of given the diagram below?

Question illustration
A
Negative StartRoot 5 EndRoot
Option A
B
Negative StartFraction StartRoot 5 EndRoot Over 2 EndFraction
Option B
C
StartFraction StartRoot 5 EndRoot Over 2 EndFraction
Option C
D
StartRoot 5 EndRoot
Option D
17

Which expression is equivalent to cos120°?

A
°
Option A
B
cos240°
C
cos300°
D
cos420°
18

Law of sines:

Question illustration
A
c = StartFraction (3) sine (40 degrees) Over sine (45 degrees) EndFraction
Option A
B
c = StartFraction (3) sine (45 degrees) Over sine (40 degrees) EndFraction
Option B
C
c = StartFraction sine (40 degrees) Over (3) sine (45 degrees) EndFraction
Option C
D
c = StartFraction sine (45 degrees) Over (3) sine (40 degrees)
Option D
19

Which measure is of an angle that is coterminal with a 425° angle?

A
425° – (1,000n)°, for any integer n
B
425° – (840n)°, for any integer n
C
425° + (960n)°, for any integer n
D
425° + (1,440n)°, for any integer n
20

What is radians converted to degrees? If necessary, round your answer to the nearest degree.

Question illustration
A
45°
B
135°
C
240°
D
540°

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