AnswersKY-Algebra II CRUnit Test

Unit Test — Cumulative exam Answers

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Naomi wants to take yoga classes. She can take classes at the high school for a one-time fee of $20 plus $10 per class. She can join the local gym for $50 and take classes for $5 per class. Which statement is true about the average cost for the two options?

A
The high school option costs less per class for six classes.
B
The gym option costs less per class for six classes.
C
The high school option costs less per class for seven classes.
D
The gym option costs less per class for seven classes.
2
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What is the remainder when (3x3 – 2x2 + 4x – 3) is divided by (x2 + 3x + 3)?

A
30
B
3x – 11
C
28x – 36
D
28x + 30
3

What is the value of i 20+1?

A
1
B
–1
C
–i
D
i
4

Which solution to the equation is extraneous?

Question illustration
A
a = –2
B
a = –2 and a = 4
C
neither a = –2 nor a = 4
D
a = 4
5

A water tank has 22 gallons of water. It begins to receive 26 gallons per hour for a number of hours. If the tank needs to fill to at least 516 gallons, which of the following is the minimum number of hours the tank should continue filling?

A
5.2
B
19
C
20.7
D
23
6

If g(x) is an odd function, which function must be an even function?

A
f(x) = g(x) + 2
B
f(x) = g(x) + g(x)
C
f(x) = g(x)2
D
f(x) = –g(x)
7

If m 0, the graph of y = mx + b does not pass through which quadrant?

A
Quadrant I
B
Quadrant II
C
Quadrant III
D
Quadrant IV
8

Celo used the simple interest formula to calculate the interest he earned on his savings last month. Which equation is equivalent to the simple interest formula?

Question illustration
A
uppercase P = StartFraction uppercase A Over 1 + r t EndFraction
Option A
B
uppercase P = StartFraction 1 + r t Over uppercase A EndFraction
Option B
C
uppercase P = uppercase A minus (1 + r t)
Option C
D
uppercase P = uppercase A + (1 + r t)
Option D
9

Which graph shows all the values that satisfy

Question illustration
A
A number line goes from negative 10 to positive 10. An open circle appears at positive 7. The number line is shaded from positive 7 toward positive 10.
Option A
B
A number line goes from negative 10 to positive 10. An open circle appears at positive 7. The number line is shaded from positive 7 toward negative 10.
Option B
C
A number line goes from negative 10 to positive 10. An open circle appears at negative 7. The number line is shaded from negative 7 toward negative 10.
Option C
D
A number line goes from negative 10 to positive 10. An open circle appears at negative 7. The number line is shaded from negative 7 toward positive 10.
Option D
10

The height in feet, h, of a model rocket t seconds after launch is given by the equation . The average rate of change in h(t) between t = 1 second and t = 3 second is 6. What does the average rate of change tell you about the rocket?

Question illustration
A
The rocket is traveling six times as fast when t = 3 than it is when t = 1.
B
The rocket is at a greater height when t = 3 than it is when t = 1.
C
The rocket is 6 feet higher above the ground when t = 3 than it is when t = 1.
D
The rocket is traveling at a constant rate of 6 feet per second between t = 1 and t = 3.
11

Dimitri is solving the equation x2 – 10x = 21. Which value must be added to both sides of the equation to make the left side a perfect-square trinomial?

A
0
B
4
C
25
D
100
12

A basketball player’s free-throw percentage is the ratio of the number of successful shots made to the number of shots attempted. A basketball player has made 13 of the first 20 free throws she has attempted this season. Which rational expression can be used to find the free throw percentage for the season if she successfully makes her next x free-throw attempts?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
13

A chemist has 500 mL of a 30% acid solution. She adds x milliliters of a 10% acid solution. Which statement is true about the graph of the function that represents the concentration of the final solution?

A
The horizontal asymptote y = 30 means that the final concentration will always be less than 30%.
B
The horizontal asymptote y = 10 means that the final concentration will always be greater than 10%.
C
The vertical asymptote x = 500 means that the volume of the solution will always be greater than 500 mL.
D
The vertical asymptote x = 0 means that the volume of the solution will always be greater than 0 mL.
14

What is the end behavior of the graph of the polynomial function f(x) = –x5 + 9x4 – 18x3?

A
As , and as , .
Option A
B
As , and as , .
Option B
C
As , and as , .
Option C
D
As , and as , .
Option D
15

The table below shows the data for a car stopping on a wet road. What is the approximate stopping distance for a car traveling 35 mph? Car Stopping Distancesv(mph)d(ft)1517.92031.850198.7

Question illustration
A
41.7 ft
B
49.7 ft
C
97.4 ft
D
115.3 ft
16

Which graph shows the solution set of the compound inequality or

Question illustration
A
A number line goes from negative 10 to positive 10. An open circle appears at negative 4 and positive 5. The number line is shaded between the two circles.
Option A
B
A number line goes from negative 10 to positive 10. An open circle appears at negative 4 and positive 5. The number line is shaded from negative 4 toward negative 10. The number line is also shaded from positive 5 toward positive 10.
Option B
C
A number line goes from negative 10 to positive 10. An open circle appears at negative 4. The number line is shaded from negative 4 toward negative 10.
Option C
D
A number line goes from negative 10 to positive 10. An open circle appears at positive 5. The number line is shaded from positive 5 toward positive 10.
Option D
17

If f(–5) = 0, what are all the factors of the function ? Use the Remainder Theorem.

Question illustration
A
(x – 2)(x + 5)(x – 3)
B
(x + 2)(x – 5)(x + 3)
C
(x – 2)(x + 5)
D
(x + 2)(x – 5)
18

The table below shows how the number of hours needed to fill a pool depends on the flow rate of the hoses used to fill it.Flow rate, x(gal/hr)Time, y(hours)60300454003650030600How long will it take to fill the pool if two hoses are used, one that fills at a rate of 40 gallons per hour and one that fills at a rate of 60 gallons per hour?

A
100 hours
B
150 hours
C
180 hours
D
200 hours
19

A function is a sixth-degree polynomial function. How many turning points can the graph of the function have?

A
exactly 5
B
5 or less
C
exactly 6
D
6 or less
20

Use the zero product property to find the solutions to the equation x2 – x – 6 = 0.

A
x = –3 or x = –2
B
x = –3 or x = 2
C
x = –2 or x = 3
D
x = 2 or x = 3

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