AnswersOK-Algebra II - Sem A -CA- 35031ACumulative Exam

Cumulative Exam — Cumulative exam Answers

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21
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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
22
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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
23

The dimensions of a rectangle are represented by the functions shown.

Question illustration
A
6x2 – 8x + 36
B
6x2 – 27x + 36
C
6x2 – 35x + 36
D
6x2 + 35x + 36
24

A new coffee shop can hold no more than 50 seats. The owner wants at least 20 of the seats to be stools and the remaining seats to be recliners. If x is the number of stools and y is the number of recliners, which graph represents the solution to the system of inequalities? x + y ≤ 50x ≥ 20

A
Option
B
Option
C
Option
D
Option
25

What is the midpoint of the x-intercepts off(x) = (x – 4)(x + 4)?

A
(0,0)
B
(0,4)
C
(–4,0)
D
(2,0)
26

The values in the table represent the graph of a continuous function. Which interval must contain an x-intercept?xy–3.1–1.85–2.7–0.84–2.3–0.09–1.90.44–1.50.79–1.11.00–0.71.10–0.31.130.11.13

A
–3.1 < x < –2.7
B
–2.3 < x < –1.9
C
–1.5 < x < –1.1
D
–0.3 < x < 0.1
27

Solve for in the equation .

Question illustration
A
x = –16 or x = 2
B
x = negative 7 plus-or-minus 3 StartRoot 7 EndRoot
Option B
C
x = –2 or x = 16
D
x = 7 plus-or-minus 3 StartRoot 7 EndRoot
Option D
28

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
29

Which equation could generate the curve in the graph below?

Question illustration
A
y = 9x2 + 6x + 4
B
y = 6x2 – 12x – 6
C
y = 3x2 + 7x + 5
D
y = 2x2 + 8x + 8
30

Which expression is equivalent to ?

Question illustration
A
5 StartRoot 3 EndRoot i
Option A
B
6 StartRoot 3 EndRoot i
Option B
C
7 StartRoot 3 EndRoot i
Option C
D
8 StartRoot 3 EndRoot i
Option D
31

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
32

Which equation is the inverse of y = x2 + 16?

A
y = x2 – 16
B
y = plus-or-minus StartRoot x EndRoot minus 16
Option B
C
y = plus-or-minus StartRoot x minus 16 EndRoot
Option C
D
y = x2 – 4
33

What is the solution to the following system?

Question illustration
A
(2, 3, 4)
B
(4, 3, –2)
C
(4, 3, 2)
D
(6, 7, –2)
34

The tables show two functions evaluated for the given values of x.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
35

What is the factored form of ?

Question illustration
A
mc019-2.jpg
Option A
B
mc019-3.jpg
Option B
C
mc019-4.jpg
Option C
D
mc019-5.jpg
Option D
36

The graph of which function has a minimum located at (4, –3)?

A
f(x) = x2 + 4x – 11
Option A
B
f(x) = –2x2 + 16x – 35
C
f(x) = x2 – 4x + 5
Option C
D
f(x) = 2x2 – 16x + 35
37

Which graph shows h(x) = (f(x)) + (g(x))?

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

Subtract from .

Question illustration
A
mc011-3.jpg
Option A
B
mc011-4.jpg
Option B
C
mc011-5.jpg
Option C
D
mc011-6.jpg
Option D
39

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
40

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

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