AnswersFL-1200330-Algebra 2 Sem 1 - FlexCumulative Exam

Cumulative Exam — Cumulative exam Answers

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Which of the following describes the zeroes of the graph of f(x) = –x5 + 9x4 – 18x3?

A
0 with multiplicity 3, –3 with multiplicity 2, and –2 with multiplicity 1
B
0 with multiplicity 3, 3 with multiplicity 1, and 6 with multiplicity 1
C
0 with multiplicity 3, 3 with multiplicity 2, and 2 with multiplicity 1
D
0 with multiplicity 3, –3 with multiplicity 1, and –6 with multiplicity 1
22
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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
23

According to the Rational Root Theorem, is a potential rational root of which function?

Question illustration
A
f(x) = 4x4 – 7x2 + x + 25
B
f(x) = 9x4 – 7x2 + x + 10
C
f(x) = 10x4 – 7x2 + x + 9
D
f(x) = 25x4 – 7x2 + x + 4
24

Use synthetic division to solve . What is the quotient?

Question illustration
A
x squared + 4 x + 3
Option A
B
x squared minus 6 x + 13 minus StartFraction 80 Over x minus 5 EndFraction
Option B
C
x cubed + 4 x squared + 3 x
Option C
D
x squared minus 6 x + 13 minus StartFraction 80 Over x + 5 EndFraction
Option D
25

Luis solves the following system of equations by elimination.What is the value of s in the solution of the system?

Question illustration
A
Option
Option A
B
Option
Option B
C
11
D
33
26

One root of is x = –10. What are all the roots of the function? Use the Remainder Theorem.

Question illustration
A
x = –25 or x = 10
B
x = –25, x = 1, or x = 10
C
x = –10 or x = 5
D
x = –10, x = –5, or x = 5
27

Which is the solution of the quadratic equation (4y – 3)2 = 72?

A
y = and y =
Option A
B
y = and y =
Option B
C
y = and y =
Option C
D
y = and y =
Option D
28

Which statement best describes the effect on the graph of y = (x – 9)2 if the equation is changed to y = (x + 9)2?

A
The graph moves up 18 units.
B
The graph moves down 18 units.
C
The graph moves left 18 units.
D
The graph moves right 18 units.
29

If f(x) = x2 – 1 and g(x) = 2x – 3, what is the domain of ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
30

What is the product?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
31

Use the zero product property to find the solutions to the equation x2 – 15x – 100 = 0.

A
x = –20 or x = 5
B
x = –20 or x = –5
C
x = –5 or x = 20
D
x = 5 or x = 20
32

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
33

Susu is solving the quadratic equation 4x2-8x-13=0 by completing the square. Her first four steps are shown in the table.

Question illustration
A
Step 1
B
Step 2
C
Step 3
D
Step 4
34

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
35

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
36

Which is a zero of the quadratic function f(x) = 4x2 + 24x + 11?

A
x = –9.25
B
x = –5.5
C
x = 0.5
D
x = 3.25
37

Which expression is equivalent to 2x2 – 2x + 7?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
38

For which pair of functions is ?

Question illustration
A
f(a) = a2 – 4 and
Option A
B
and g(a) = 2a – 2
Option B
C
f(a) = 5 + a2 and
Option C
D
f(a) = 3 – 3a and g(a) = 4a – 5
39

Which system is equivalent to ?

Question illustration
A
StartLayout Enlarged left-brace 1st Row 5 x squared + 6 y squared = 50 2nd row negative 21 x squared minus 6 y squared = 10 EndLayout
Option A
B
StartLayout Enlarged left-brace 1st Row 5 x squared + 6 y squared = 50 2nd row negative 21 x squared minus 6 y squared = 30 EndLayout
Option B
C
StartLayout Enlarged left-brace 1st Row 35 x squared + 42 y squared = 250 2nd row negative 35 x squared minus 10 y squared = negative 50 EndLayout
Option C
D
StartLayout Enlarged left-brace 1st Row 35 x squared + 42 y squared = 350 2nd row negative 35 x squared minus 10 y squared = negative 50 EndLayout
Option D
40

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

A
x + 1
B
x
C
2
D
0

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