AnswersLAUSD-Algebra II A Prescriptive - SummerUnit Test

Unit Test — Unit test Answers

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1
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The graphs of two polynomial equations do not intersect. Kelly concludes that the system has no solution. Which statement best explains why Kelly’s reasoning is correct or incorrect?

A
She is incorrect because systems may have only complex solutions which are not visible on a graph.
B
She is incorrect because the solutions may have multiplicity greater than 1.
C
She is correct because all solutions are intersection points of the graphs.
D
She is correct because the solutions are irrational.
2
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A cube has side length x. One side of the cube is increased by 4 inches, and another side is doubled. The volume of the new rectangular prism is 450 cubic inches. The equation can be used to find x. What was the side length of the original cube? Use a graphing calculator and a system of equations to find the answer.

Question illustration
A
4 inches
B
5 inches
C
9 inches
D
10 inches
3

The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula . If Saturn’s orbital period is 29.5 years, what is its distance from the sun?

Question illustration
A
9.5 AU
B
19.7 AU
C
44.3 AU
D
160.2 AU
4

Max can mow a lawn in 45 minutes. Jan takes twice as long to mow the same lawn. If they work together, the situation can be modeled by the following equation, where t is the number of minutes it would take to mow the lawn together.How long will it take Maxine and Jan to mow the lawn together?

Question illustration
A
30.0 minutes
B
45.0 minutes
C
67.5 minutes
D
135.0 minutes
5

What is the solution set of ?

Question illustration
A
mc023-2.jpg
Option A
B
mc023-3.jpg
Option B
C
mc023-4.jpg
Option C
D
mc023-5.jpg
Option D
6

The speed that a tsunami can travel is modeled by the equation , where S is the speed in kilometers per hour and d is the average depth of the water in kilometers. What is the approximate depth of water for a tsunami traveling at 200 kilometers per hour?

Question illustration
A
0.32 km
B
0.75 km
C
1.12 km
D
3.17 km
7

What is the solution of ?

Question illustration
A
mc012-2.jpg
Option A
B
mc012-3.jpg
Option B
C
mc012-4.jpg
Option C
D
mc012-5.jpg
Option D
8

Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. When they work together, the situation can be modeled by the equation, where t is the number of hours it would take to clear the field together.How long will it take Ted and Jacob to clear the field together?

Question illustration
A
12 minutes
B
50 minutes
C
1 hour 12 minutes
D
2 hours 30 minutes
9

What are the roots of the polynomial equation ? Use a graphing calculator and a system of equations.

Question illustration
A
–6, 6
B
–4, 1, 3
C
–3, –1, 4
D
1, 3
10

Carlos graphed the system of equations that can be used to solve .What are the roots of the polynomial equation?

Question illustration
A
–3, –2, 3
B
–3, 2
C
18, 32
D
18, 32, 66
11

What is the solution of ?

Question illustration
A
x = 142
B
x = 232
C
x = 322
D
no solution
12

Mario makes 6 free throw shots out of his first 10 attempts. What is the least number of consecutive shots Mario must make to increase his overall percentage from 60% to at least 70%?

A
1 shot
B
4 shots
C
10 shots
D
14 shots
13

What is the solution of ?

Question illustration
A
x = –3
B
x = 4
C
x = –3 or x = 4
D
no solution
14

What is the solution to the equation ?

Question illustration
A
y = –4 and y = 4
B
y = 0
C
all real numbers
D
no solution
15

How many extraneous solutions does the equation below have?

Question illustration
A
0
B
1
C
2
D
3
16

What is the solution of ?

Question illustration
A
or x > 4
Option A
B
or x > 4
Option B
C
mc008-4.jpg
Option C
D
mc008-5.jpg
Option D
17

What is the solution of ?

Question illustration
A
or
Option A
B
or
Option B
C
mc009-6.jpg
Option C
D
mc009-7.jpg
Option D
18

What is the solution of ?

Question illustration
A
x = –8 or x = –1
B
x = –8
C
x = –1
D
no solution
19

Which of the following is a radical equation?

A
x StartRoot 3 EndRoot = 13
Option A
B
x + StartRoot 3 EndRoot = 13
Option B
C
StartRoot x EndRoot + 3 = 13
Option C
D
x + 3 = StartRoot 13 EndRoot
Option D
20

Which shows all the critical points for the inequality < 0?

Question illustration
A
x = –2 and x = 2
B
x = 2 and x = 3
C
x = –3, x = –2, and x = 2
D
x = –2, x = 2, and x = 3

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