AnswersFL-1200330-Algebra 2 CRCumulative Exam

Cumulative Exam — Cumulative exam Answers

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1
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What is the solution of ?

Question illustration
A
x = 5
B
x = 13
C
x = 20
D
x = 328
2
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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

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A
1.01
B
1.21
C
1.26
D
10.44
3

What is the following product?

Question illustration
A
–2
B
2
C
22 –
Option C
D
98 –
Option D
4

Review the graph.

Question illustration
A
25 x2 + (y + 4)2
B
25 > (x – 1)2 + y2 and 16 > x2 + (y + 4)2
C
25 < (x – 1)2 + y2 and 16 < x2 + (y + 4)2
D
25 > (x – 1)2 + y2 and 16 < x2 + (y + 4)2
5

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
6

Jana is prescribed 250 mg of medication. Seventy-five percent of the medication remains in her body after each hour, h, according to the equation . Six hours later, Allison is prescribed the same medication. The medication remains in Allison’s body according to the equation . At any time after she has taken the medication, Allison has how many times more milligrams of medication in her body?

Question illustration
A
5.62
B
14.05
C
17.80
D
44.49
7

What is written as a single logarithm?

Question illustration
A
log Subscript 2 Baseline left-bracket StartFraction x cubed Over (StartFraction 3 Over x + 4 EndFraction) EndFraction Right-bracket
Option A
B
log Subscript 2 Baseline (StartFraction 3 x cubed Over x + 4 EndFraction)
Option B
C
log Subscript 2 Baseline left-bracket (StartStartFraction x cubed Over 3 EndFraction) Over x + 4 EndEndFraction Right-bracket
Option C
D
log Subscript 2 Baseline (StartFraction x cubed Over 3 + (x + 4) EndFraction)
Option D
8

The financial planner for a beauty products manufacturer develops the system of equations below to determine how many combs must be sold to generate a profit. The linear equation models the income, in dollars, from selling x plastic combs; the quadratic equation models the cost, in dollars, to produce x plastic combs. According to the model, for what price is each comb being sold?

Question illustration
A
$0.03
B
$0.50
C
$0.95
D
$2.00
9

Which statement describes the system of equations?

Question illustration
A
It has one solution (–5, 5).
B
It has one solution (5, –5).
C
The system has no solution.
D
The system has infinitely many solutions.
10

What is the solution to

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

On a piano, the formula to determine the frequency, f, for the G above A440 is . Which of the following is equivalent to f?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
12

Which expression is equivalent to ?

Question illustration
A
2 log Subscript 5 Baseline x + log Subscript 5 Baseline 4
Option A
B
2 log Subscript 5 Baseline x + log Subscript 5 Baseline 16
Option B
C
2 log Subscript 5 Baseline x + 2 log Subscript 5 Baseline 4
Option C
D
2 log Subscript 5 Baseline x + log Subscript 5 Baseline 4
Option D
13

What are the domain and range of f(x) = 2(3x)?

A
domain: ; range:
Option A
B
domain: ; range:
Option B
C
domain: ; range:
Option C
D
domain: ; range:
Option D
14

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
15

What is the following sum?

Question illustration
A
4 x (RootIndex 3 StartRoot 2 y EndRoot) + 12 x squared y (RootIndex 3 StartRoot 2 y squared EndRoot)
Option A
B
8 x (RootIndex 3 StartRoot x y EndRoot) + 12 x cubed y squared (RootIndex 3 StartRoot 6 y EndRoot)
Option B
C
16 x cubed y (RootIndex 3 StartRoot 2 y squared EndRoot)
Option C
D
48 x cubed y (RootIndex 3 StartRoot 2 y EndRoot)
Option D
16

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
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
17

Which expression is equivalent to the following complex fraction?

Question illustration
A
StartFraction (y + 1) (y minus 1) Over y squared EndFraction
Option A
B
StartFraction y + 1 Over y minus 1 EndFraction
Option B
C
StartFraction y minus 1 Over y + 1 EndFraction
Option C
D
StartFraction y squared Over (y + 1) (y minus 1) EndFraction
Option D
18

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
19

What is the value of ?

Question illustration
A
3
B
5
C
15
D
25
20

What is the solution to the equation ?

Question illustration
A
x = –3
B
x = –3 and x = 0
C
x = 0 and x = 3
D
x = 3

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