AnswersKISD SS-3391B-Algebra II Honors B Exam OnlyCumulative Exam

Cumulative Exam — Cumulative exam Answers

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What is the value of ?

Question illustration
A
3
B
5
C
15
D
25
22
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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
23

A company’s equipment manager buys $7,000 worth of equipment. This equipment depreciates 19% each year. The manager can replace the equipment after its value falls below $500.After how many years can the manager first replace the equipment?

A
10
B
11
C
12
D
13
24

How many liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin? Round the answer to the nearest hundredth if necessary. Original (L)Added (L)New (L)Amount of Glycerin0.96x0.96 + xAmount of Solution12x12 + x

A
0.18 liter
B
1.14 liters
C
1.92 liters
D
2.10 liters
25

The polynomial function f(x) is a fourth degree polynomial. Which of the following could be the complete list of the roots of f(x)?

A
3, 4, 5, 6
B
3, 4, 5, 6i
C
3, 4, ,
Option C
D
3, 4, 5 + i, –5 + i
26

Which number is missing in the table of values below?xy01162363?41,296

A
108
B
216
C
324
D
648
27

Which phrase best describes the translation from the graph y = 2x2 to the graph of y = 2x2 + 5?

A
5 units up
B
5 units down
C
5 units right
D
5 units left
28

Graph the function f(x) = x3 – 3x – 2. Based on the graph, which value for x is a double root of this function?

A
–2
B
–1
C
1
D
2
29

If f(x) is an odd function, which statement about the graph of f(x) must be true?

A
It has rotational symmetry about the origin.
B
It has line symmetry about the line y = –x.
C
It has line symmetry about the y-axis.
D
It has line symmetry about the x-axis.
30

Which of the following graphs represents a function?

A
On a coordinate plane, a graph shows an image of a curved line connected to a straight line. The curved line is upward facing and goes through the y-axis at (0, 0.75). The curved line connects with the straight line at (1, 0.75). The straight line has a negative slope and goes through the x-axis at (2, 0).
Option A
B
On a coordinate plane, a circle intercepts the x-axis at points (negative 2, 0) and (2, 0) and intercepts the y-axis between points 3 and 4 and also between points negative 3 and negative 4.
Option B
C
On a coordinate plane, a parabola opens right and has a vertex at (negative 3, 3).
Option C
D
A coordinate plane has 7 points. The points are (negative 4, 3), (negative 2, negative 5), (negative 1, negative 3), (1, 3), (2, negative 2), (4, negative 2), (4, 2).
Option D
31

Which polynomial function has a leading coefficient of 1, roots –3 and 8 with multiplicity 1, and root 4 with multiplicity 2?

A
f(x) = 2(x + 3)(x + 4)(x – 3)
B
f(x) = 2(x – 8)(x – 4)(x + 3)
C
f(x) = (x + 8)(x + 4)(x + 4)(x – 3)
D
f(x) = (x – 8)(x – 4)(x – 4)(x + 3)
32

Which table shows a linear function?

A
mc004-1.jpg
Option A
B
mc004-2.jpg
Option B
C
mc004-3.jpg
Option C
D
mc004-4.jpg
Option D
33

Which of the following is the inverse of ?

Question illustration
A
y = log Subscript one-twelfth Baseline x
Option A
B
y = log Subscript 12 Baseline StartFraction 1 Over x EndFraction
Option B
C
y = log Subscript x Baseline 12
Option C
D
y = log Subscript 12 Baseline x
Option D
34

Which of the following gives all of the sets that contain?

Question illustration
A
the set of all irrational numbers
B
the set of all natural numbers, the set of all whole numbers, and the set of all integers
C
the set of all integers, the set of all rational numbers, and the set of all real numbers
D
the set of all natural numbers, the set of all whole numbers, the set of all integers, the set of all rational numbers, and the set of all real numbers
35

Which of the following graphs could be the graph of the function f(x) = x3 + 8?

A
mc019-1.jpg
Option A
B
mc019-2.jpg
Option B
C
mc019-3.jpg
Option C
D
mc019-4.jpg
Option D
36

The height of a tennis ball tossed into the air is modeled by h(x) = 40x – 16x 2, where x is elapsed time in seconds.During what time interval will the tennis ball be at least 15 feet above the ground?

A
x > 0.5 seconds and x > 2.04 seconds
B
x > 0.5 seconds and x ≤ 2.04 seconds
C
x ≥ 0.5 seconds and x > 2.04 seconds
D
x ≥ 0.5 seconds and x ≤ 2.04 seconds
37

By what approximate factor is the intensity of an earthquake with magnitude 5.4 greater than an earthquake with magnitude 5.3?M = the magnitude of an earthquakeI = the intensity of an earthquakeI0 = the smallest seismic activity that can be measured, which is 1

Question illustration
A
1.01
B
1.21
C
1.26
D
10.44
38

Which graph represents the same relation as the rule y = 2x, for all real numbers x?

A
A coordinate plane has 5 points. The points are (negative 2, negative 4), (negative 1, negative 2), (0, 0), (1, 2), (2, 4).
Option A
B
On a coordinate plane, a horizontal line intercepts the y-axis at (0, 2).
Option B
C
On a coordinate plane, a straight line with positive slope intercepts the axis at (0, 0). The line goes through points (negative 2, negative 4) and (2, 4).
Option C
D
On a coordinate plane, 11 points form a vertical line that crosses the x-intercept at (2, 0).
Option D
39

What is the approximate value of a local maximum for the polynomial?

Question illustration
A
–4.5
B
–2.5
C
0.5
D
2.5
40

Which two functions are inverses of each other?

A
,
Option A
B
,
Option B
C
,
Option C
D
,
Option D

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