Answers25-26 Lusk -- Algebra 2 - 4th Nine WeeksUnit Test

Unit Test — Cumulative exam Answers

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21
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Which graph represents the following piecewise defined function?

Question illustration
A
mc004-2.jpg
Option A
B
mc004-3.jpg
Option B
C
mc004-4.jpg
Option C
D
mc004-5.jpg
Option D
22
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Phan fills the tank of her car with gasoline before starting her road trip. The table below shows the amount of gas left in her tank as she drives.Number of Hours vs. Amount Left in TankNumber of Hours Spent Driving (h)3579Amount of Gas Left in Tank, in gallons (g)12840Which equation models the amount of gas left in the car as Phan drives, and how many gallons of gasoline does it take to fill her tank?

A
g = 18 – 2h; 18 gallons
B
g = 18 – 2h; 16 gallons
C
g = 3h + 3; 30 gallons
D
g = 3h + 3; 12 gallons
23

How does the graph of g(x) = 3x – 2 compare to the graph of f(x) = 3x?

A
The graph of g(x) is a translation of f(x) 2 units left.
B
The graph of g(x) is a translation of f(x) 2 units right.
C
The graph of g(x) is a translation of f(x) 2 units up.
D
The graph of g(x) is a translation of f(x) 2 units down.
24

As the weight of purchased items increases, the shipping charges increase, as shown in the table below.Weight, in ozTotal Shipping Costnot more than 5$9.50more than 5, not more than 10$13.25more than 10, not more than 15$17.00more than 15, not more than 20$20.75Assuming only positive domain values, which statement is true of the graph that represents the total cost, y, in dollars for shipping items that weigh x ounces?

A
The graph is discontinuous at x = 5, x = 10, and x = 15.
B
The range values for the set of the data are 10, 14, 17, and 21.
C
For every 1-ounce increase in weight, the total shipping cost increases by $3.75.
D
The left side of each horizontal interval is a closed circle, and the right side is an open circle.
25

Which step is included in the graph of the function ?

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
26

What is the solution of ?

Question illustration
A
–8
B
–6
C
8
D
9
27

The amount of simple interest accrued on a sum of money varies jointly with the amount of money, the interest rate, and the time the money is invested. A sum of money is invested at a simple interest rate of 4% for 3 years and accrues $168 in interest. The same sum of money is invested in a second account at a simple interest rate of 6% for 4 years. Which statement is true?

A
The amount of interest accrued on the second account is less than double the amount of interest accrued on the first account.
B
The amount of interest accrued on the second account is double the amount of interest accrued on the first account.
C
The amount of interest accrued on the second account is more than double but less than triple the interest accrued on the first account.
D
The amount of interest accrued on the second account is more than triple the interest accrued on the first account.
28

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
29

What is the solution to the inequality ?

Question illustration
A
mc024-2.jpg
Option A
B
mc024-3.jpg
Option B
C
mc024-4.jpg
Option C
D
mc024-5.jpg
Option D
30

Which of the following accurately lists all of the discontinuities for the function graphed below?

Question illustration
A
jump discontinuity at x = 0; point discontinuity at x = 8
B
jump discontinuity at x = 0; point discontinuities at x = –2 and x = 8
C
jump discontinuities at x = 0 and x = 8; point discontinuity at x = –2
D
jump discontinuity at x = 0; point discontinuities at x = –2, x = 3 and x = 8
31

Which of the following is true regarding the solution to the logarithmic equation below?

Question illustration
A
is not a true solution because
Option A
B
is not a true solution because
Option B
C
is a true solution because
Option C
D
is a true solution because
Option D
32

Which graph shows the solution to the equation below?

Question illustration
A
On a coordinate plane, 2 curves intersect at (1, 1). One curve curves up and to the right from quadrant 3 into quadrant 1. The other curve curves down from quadrant 1 into quadrant 4.
Option A
B
On a coordinate plane, 2 identical curves are shown. One curve starts at y = negative 3, and the other curve starts at y = 1.
Option B
C
On a coordinate plane, a curve and a line are shown.
Option C
D
On a coordinate plane, a curve and a cubic function are shown.
Option D
33

Given the function f(x) = 3|x – 2| + 6, for what values of x is f(x) = 18?

A
x = –2, x = –8
B
x = –2, x = –6
C
x = –2, x = 6
D
x = –2, x = 8
34

What is the value of ?

Question illustration
A
–4.00
B
–0.25
C
1.51
D
2.41
35

Which of the following is the graph of ?

Question illustration
A
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = 2. One curve opens up and to the right in quadrant 1. The other curve opens down and to the left and it crosses the x-axis at (1, 0).
Option A
B
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = 2. One curve opens up and to the right in quadrants 1 and 4. It crosses the x-axis at (3, 0). The other curve opens down and to the left and it crosses the y-axis at (0, negative 1.5).
Option B
C
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 2. One curve opens up and to the right in quadrants 1 and 2. It crosses the y-axis at (0, 1.5). The other curve opens down and to the left and it crosses the x-axis at (negative 3, 0).
Option C
D
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 2. One curve opens up and to the right in quadrants 1, 2, and 4. It crosses the x-axis at (negative 1, 0). The other curve opens down and to the left in quadrant 3.
Option D
36

What is the true solution to

Question illustration
A
x = 5
Option A
B
x = 10
Option B
C
x = 50
Option C
D
x = 100
Option D
37

Which of the following shows the true solution to the logarithmic equation

Question illustration
A
x = negative 1
Option A
B
x = 1
Option B
C
and
Option C
D
, , and
Option D
38

How is the graph of transformed to produce the graph of ?

Question illustration
A
It is stretched horizontally by a factor of 2 and translated up 3 units.
B
It is compressed horizontally by a factor of 2 and translated up 3 units.
C
It is stretched vertically by a factor of 2 and translated up 3 units.
D
It is compressed vertically by a factor of 2 and translated up 3 units.
39

The function is used to model the height of an object being tossed from a tall building, where h(t) is the height in meters and t is the time in seconds. What are the domain and range? Round to the nearest hundredth.

Question illustration
A
domain: [0, 12.76]range: [1.80, 590.90]
B
domain: range: [1.80, 590.90]
Option B
C
domain: range: [0, 590.90]
Option C
D
domain: [0, 12.76]range: [0, 590.90]
40

A skate shop rents roller skates as shown in the table below. Roller Skate RentalsTimeCostup to 60 minutes$5up to 2 hours$10up to 5 hours$20daily$25Which graph and function model this situation, where c is the cost, in dollars, of renting skates, and t is the number of hours in a single day that the skates are rented?

A
mc024-1.jpg
Option A
B
mc024-3.jpg
Option B
C
mc024-5.jpg
Option C
D
mc024-7.jpg
Option D

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