AnswersEBR - Algebra II B ICUnit Test

Unit Test — Unit test Answers

25 verified answers2 views
1
Free Preview

Devon purchased a new car valued at $16,000 that depreciated continuously at a rate of 35%. Its current value is $2,000. The equation represents the situation, where t is the age of the car in years and r is the rate of depreciation. About how old is Devon’s car? Use a calculator and round your answer to the nearest whole number.

Question illustration
A
1 year
B
2 years
C
5 years
D
8 years
2
Free Preview

What is the true solution to the equation below?

Question illustration
A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
3

For what value of x does ?

Question illustration
A
–9
B
–3
C
3
D
9
4

What is the solution of log2 (3x - 7) = 3?

A
One-third
Option A
B
4
C
5
D
Sixteen-thirds
Option D
5

Which function is shown in the graph below?

Question illustration
A
y = (one-half) Superscript x + 3 Baseline minus 1
Option A
B
y = (one-half) Superscript x minus 3 Baseline + 1
Option B
C
y = (one-half) Superscript x minus 1 Baseline + 3
Option C
D
y = (one-half) Superscript x + 1 Baseline minus 3
Option D
6

If you are given the graph of , how could you graph ?

Question illustration
A
Translate each point of the graph of h(x) 3 units up.
B
Translate each point of the graph of h(x) 3 units down.
C
Translate each point of the graph of h(x) 3 units right.
D
Translate each point of the graph of h(x) 3 units left.
7

Which is the graph of ?

Question illustration
A
On a coordinate plane, a curve starts at y = negative 3 and curves up into quadrant 1. It approaches y = 3.
Option A
B
On a coordinate plane, a curve starts at y = negative 2 and curves up into quadrant 2. It approaches y = 2 in quadrant 2.
Option B
C
On a coordinate plane, a curve starts at y = 3 and curves down into quadrant 4. It approaches y = negative 3 in quadrant 4.
Option C
D
On a coordinate plane, a curve starts at y = 4 and curves down into quadrant 3. It approaches y = negative 3 in quadrant 3.
Option D
8

Simplify .a.4c.b.d.

Question illustration
A
A
B
B
C
C
D
D
9

The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as , where and is the least intense sound a human ear can hear. What is the approximate loudness of a rock concert with a sound intensity of 10–1?

Question illustration
A
2 Db
B
22 Db
C
60 Db
D
110 Db
10

An equation for the depreciation of a car is given by y = A(1 – r)t , where y = current value of the car, A = original cost, r = rate of depreciation, and t = time, in years. The value of a car is half what it originally cost. The rate of depreciation is 10%. Approximately how old is the car?

A
3.3 years
B
5.0 years
C
5.6 years
D
6.6 years
11

Which expression is equivalent to ? Assume .

Question illustration
A
StartFraction 5 Over x Superscript 12 Baseline y Superscript 30 Baseline EndFraction
Option A
B
StartFraction 1 Over 5 x Superscript 8 Baseline y Superscript 13 Baseline EndFraction
Option B
C
StartFraction 5 Over x Superscript 4 Baseline y Superscript 7 Baseline EndFraction
Option C
D
StartFraction y Superscript 7 Baseline Over 5 x Superscript 4 Baseline EndFraction
Option D
12

Which expression is equivalent to ? Assume .

Question illustration
A
StartFraction x Superscript 10 Baseline y Superscript 14 Baseline Over 729 EndFraction
Option A
B
StartFraction x Superscript 22 Baseline Over 18 y Superscript 46 Baseline EndFraction
Option B
C
StartFraction 729 Over x Superscript 10 Baseline y Superscript 14 Baseline EndFraction
Option C
D
StartFraction 18 y Superscript 46 Baseline Over x Superscript 22 Baseline EndFraction
Option D
13

The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as , where and is the least intense sound a human ear can hear. Jessica is listening to soft music at a sound intensity level of 10-9 on her computer while she does her homework. Braylee is completing her homework while listening to very loud music at a sound intensity level of 10-3 on her headphones. How many times louder is Braylee’s music than Jessica’s?

Question illustration
A
times louder
Option A
B
3 times louder
C
30 times louder
D
90 times louder
14

What is the value of ?

Question illustration
A
–4
B
Negative one-fourth
Option B
C
One-fourth
Option C
D
4
15

What is the range of the function

Question illustration
A
y less-than 0
Option A
B
y greater-than 0
Option B
C
y less-than 4
Option C
D
y greater-than 4
Option D
16

Simplify .a.c.b.d.

Question illustration
A
A
B
B
C
C
D
D
17

The formula for determining the frequency, f, of a note on a piano is , where h is the number of half-steps from the A above middle C on the keyboard. A note is six half-steps away from the A above middle C. The frequency of the A above middle C is 440 Hz. How much greater is the frequency of the new note compared with the frequency of the A above middle C?

Question illustration
A
29.3%
B
41.4%
C
70.7%
D
182.3%
18

The range of which function is ?

Question illustration
A
y = 2x
B
y = 2(5x)
C
y = 5x +2
D
y = 5x + 2
19

For what value of n does ?

Question illustration
A
–3
B
Negative one-third
Option B
C
Five-ninths
Option C
D
1
20

A radioactive element has a half-life of six days. What is the approximate decay rate of the element after the first day?

A
0.9%
B
1.5%
C
8.3%
D
10.9%

Did you find these answers helpful?

More from this Course

Quiz
15 verified answers

Unit Test