AnswersAL-Algebra II with StatisticsCumulative Exam

Cumulative Exam — Cumulative exam Answers

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21
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What is the remainder when (x3 + 1) is divided by (x2 – x + 1)?

A
x + 1
B
x
C
2
D
0
22
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What is the solution of ?

Question illustration
A
x = –2500
B
x = –50
C
x = –2.5
D
no solution
23

What is the solution of ?

Question illustration
A
x = 5
B
x = 13
C
x = 20
D
x = 328
24

What is the following product?

Question illustration
A
–2
B
2
C
22 –
Option C
D
98 –
Option D
25

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
26

The quotient of (x4 – 3x2 + 4x – 3) and (x2 + x – 3) is a polynomial. What is the quotient?

A
x4 – 2x2 + 5x – 6
B
x2 – x + 1
C
x6 + x5 – 6x4 + x3 + 10x2 – 15x + 9
D
x4 – 4x2 + 3x
27

What is the domain of the square root function graphed below?

Question illustration
A
x greater-than-or-equal-to negative 4
Option A
B
x greater-than negative 4
Option B
C
x greater-than-or-equal-to 0
Option C
D
x greater-than 0
Option D
28

Which expression is equivalent to ? Assume .

Question illustration
A
x y squared StartRoot 8 x cubed EndRoot
Option A
B
2 x cubed y cubed StartRoot x y squared EndRoot
Option B
C
2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot
Option C
D
4 x cubed y Superscript 4 Baseline StartRoot x EndRoot
Option D
29

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
30

What substitution should be used to rewrite x8 – 3x4 + 2 = 0 as a quadratic equation?

A
u = x2
B
u = x4
C
u = x8
D
u = x16
31

Which shows all the values of x that make the rational expression undefined?

Question illustration
A
x = 6
B
x = 7
C
x = –6 or x = 6
D
x = –7 or x = 7
32

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
33

Which expression is equivalent to ? Assume .

Question illustration
A
(x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline)
Option A
B
(x Superscript two-sevenths Baseline) (y Superscript five-thirds Baseline)
Option B
C
(x Superscript two-sevenths Baseline) (y Superscript three-fifths Baseline)
Option C
D
(x Superscript seven-halves Baseline) (y Superscript negative five-thirds Baseline)
Option D
34

The table below shows the number of days, y, needed to complete a project as a function of the number of full-time staff, x, working on the project. Which rational function best models the data in the table?People Working, xDays, y36218489612

A
mc019-1.jpg
Option A
B
mc019-2.jpg
Option B
C
mc019-3.jpg
Option C
D
mc019-4.jpg
Option D
35

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
36

The function that represents the average cost per person, including transportation, to a museum is . Which statement is true about the graph of the function?

Question illustration
A
The horizontal asymptote y = 0 means the cost approaches zero as the number of people increases.
B
The horizontal asymptote y = 8 means the average cost approaches $8 as the number of people increases.
C
The vertical asymptote x = 0 means the cost approaches zero as the number of people increases.
D
The vertical asymptote x = 8 means the cost approaches zero as the number of people increases.
37

Given the system , which statement is true?

Question illustration
A
The system has one unique solution because the determinant of the coefficient matrix is not zero.
B
The system has one unique solution because the determinant of the coefficient matrix is zero.
C
The system has no unique solution because the determinant of the coefficient matrix is not zero.
D
The system has no unique solution because the determinant of the coefficient matrix is zero.
38

What is the product? Assume

Question illustration
A
3 x StartRoot 5 EndRoot + 3 StartRoot 165 x EndRoot + 10 StartRoot 6 EndRoot
Option A
B
3 x StartRoot 5 EndRoot + 6 StartRoot 10 x EndRoot + 5 StartRoot 3 x EndRoot + 10 StartRoot 6 EndRoot
Option B
C
3 x StartRoot 5 EndRoot + 10 StartRoot 6 EndRoot
Option C
D
StartRoot 3 x EndRoot + 5 StartRoot 3 x EndRoot + 10 StartRoot 6 EndRoot
Option D
39

What is the determinant of ?

Question illustration
A
20
B
40
C
60
D
80
40

Which expression is equivalent to ?

Question illustration
A
x Superscript one-half Baseline y Superscript 4
Option A
B
x Superscript one-eighth Baseline y Superscript 8
Option B
C
x Superscript one-fourth Baseline y Superscript 8
Option C
D
x Superscript one-fourth Baseline y Superscript 4
Option D

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