AnswersFL-1200330-Algebra 2 CRCumulative Exam

Cumulative Exam — Cumulative exam Answers

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What is the remainder when (3x3 – 2x2 + 4x – 3) is divided by (x2 + 3x + 3)?

A
30
B
3x – 11
C
28x – 36
D
28x + 30
2
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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
3

Which graph represents the solution set for the quadratic inequality x2 + 2x + 1 > 0?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

The graphs of three functions are shown.

Question illustration
A
All of the functions have a maximum.
B
The square root and quadratic function share a minimum.
C
The absolute value and quadratic function share a y-intercept.
D
The absolute value and square root function share an x-intercept.
5

Tim throws a stick straight up in the air from the ground. The function h = –16t2 + 48t models the height, h, in feet, of the stick above the ground after t seconds. Which inequality can be used to find the interval of time in which the stick reaches a height of more than 8 feet?

A
–16t2 + 48t > 8
B
–16t2 + 48t < 8
C
–16t2 + 48t ³ 8
D
–16t2 + 48t £ 8
6

You can use a system of equations to graph and solve the polynomial equation . Which statement is true?

Question illustration
A
The system has one solution, and the equation has three zeroes.
B
The y-coordinates of the solutions to the system and the zeroes of the equation are not equal.
C
The x-coordinates of the solutions to the system and the zeroes of the equation are not equal.
D
The equation has one zero, and the system has three solutions.
7

What is the end behavior of the graph of the polynomial function f(x) = –x5 + 9x4 – 18x3?

A
As , and as , .
Option A
B
As , and as , .
Option B
C
As , and as , .
Option C
D
As , and as , .
Option D
8

Which function is the inverse of ?

Question illustration
A
f Superscript negative 1 Baseline (x) = negative one-fifth x + four-fifths
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

A graph of a quadratic function y = f(x) is shown below.What is the solution set of the quadratic inequality f(x) 0?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

For which pair of functions is ?

Question illustration
A
f(x) = 3 – 4x and g(x) = 16x – 3
B
f(x) = 6x2 and
Option B
C
and g(x) = 144x
Option C
D
f(x) = 4x and g(x) = 3x
11

What is the completely factored form of ?

Question illustration
A
(2x - 5)(3x + 1)
B
(2x + 5)(3x - 1)
C
(2x - 1)(3x - 5)
D
(2x + 1)(3x + 5)
12

Find all solutions to the equation x3 – 4x2 + 9x – 10 = 0.

A
–10, 1 + 2i, 1 – 2i
B
–2, –1 + 2i, –1 – 2i
C
2, 1 + 2i, 1 – 2i
D
2, –1 + 2i, –1 – 2i
13

Which of the following is the graph of f(x) = 3|x – 4| + 1?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
14

Which graph represents an even function?

A
A coordinate plane has 5 points. The points are (negative 6, negative 4), (negative 4, 2), (2, 4), (4, negative 2), (6, 2).
Option A
B
A coordinate plane has 7 points. The points are (negative 3, negative 6), (negative 2, negative 4), (negative 1, negative 2), (0, 0), (1, 2), (2, 4), (3, 6).
Option B
C
A coordinate plane has 7 points. The points are (negative 5, 2), (negative 4, 1), (negative 3, 3), (negative 2, 5), (2, negative 2), (3, negative 5), (4, negative 6).
Option C
D
A coordinate plane has 7 points. The points are (negative 4, negative 3), (negative 3, negative 5), (negative 2, 1), (0, 0), (2, 1), (3, negative 5), (4, negative 3).
Option D
15

Solve for in the equation .

Question illustration
A
x = 3 plus-or-minus StartRoot 23 EndRoot
Option A
B
x = 3 plus-or-minus StartRoot 51 EndRoot
Option B
C
x = 3 plus-or-minus StartRoot 41 EndRoot
Option C
D
x = 3 plus-or-minus StartRoot 5 EndRoot
Option D
16

For what values of m does the graph of y = mx2 – 5x – 2 have no x-intercepts?

A
m greater-than negative StartFraction 25 Over 8 EndFraction
Option A
B
m less-than negative StartFraction 25 Over 8 EndFraction
Option B
C
m less-than StartFraction 25 Over 8 EndFraction
Option C
D
m greater-than StartFraction 25 Over 8 EndFraction
Option D
17

Which point shows the location of 5 – 2i on the complex plane below?

Question illustration
A
point A
B
point B
C
point C
D
point D
18

If k(x) = 5x – 6, which expression is equivalent to (k + k)(4)?

A
5(4 + 4) – 6
B
5(5(4) – 6) – 6
C
54 – 6 + 54 – 6
D
5(4) – 6 + 5(4) – 6
19

The graph of a quadratic inequality is shown.

Question illustration
A
y greater-than-or-equal-to two-ninths (x minus 4) squared + 28
Option A
B
y greater-than (x minus 4) squared + 28
Option B
C
y greater-than-or-equal-to negative 2 (x + 4) squared + 28
Option C
D
y greater-than (x + 4) squared + 28
Option D
20

When graphed, which parabola opens downward?

A
y = –3x2
B
y = (x – 3)2
C
y = one-third x squared
Option C
D
y = x2 – 3

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