AnswersOC27 MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006PUnit Test

Unit Test — Cumulative exam Answers

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What is the minimum value of C = 7x + 8y, given the constraints on x and y listed below?

Question illustration
A
32
B
42
C
46
D
64
42
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The cost of a taxi ride is a linear function of the distance traveled. If a 5-mile ride costs $12 and a 9-mile ride costs $14, which equation can be used to find the cost, c, for any distance, m, traveled?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
43

A mortgage company offers a loan for 30 years at an annual rate that is equal to the prime rate published by the Federal Reserve plus 2%. This can be modeled using the function APR(p) = p + 0.02, where p is the prime interest rate as a decimal. The annual interest rate is then converted to a monthly interest rate using the function . The Wilsons want to borrow $128,000. Their monthly payments can be calculated by the function .

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
44

Gerald graphs the function f(x) = (x – 3)2 – 1. Which statements are true about the graph? Select three options.

A
The domain is {x| x ≥ 3}.
B
The range is {y| y ≥ –1}.
C
The function decreases over the interval (–∞, 3).
D
The axis of symmetry is x = –1.
E
The vertex is (3, –1).
45

A rational expression simplifies to 3. The denominator of the original expression is given. Which polynomial is the numerator?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
46

A profit formula for a single tire can be modeled by the function P(t) = –18t2 + 850t – 725. Each set of tires can be modeled by the function t(s) = 4s. Which composite function can be used to determine the profit function in terms of the number of sets of tires?

A
P(t(s)) = –288s2 + 3,400s – 725
B
P(t(s)) = –288s2 + 13,600s – 725
C
P(t(s)) = –72s2 + 3,400s – 2,900
D
P(t(s)) = –72s2 + 13,600s – 2,900
47

Haji rows his canoe 10 mph in still water. He noticed one day that he could row 4 miles upstream in the same amount of time he could row 6 miles downstream. What was the approximate speed of the current that day?

2
2.0 mph
3
3.3 mph
5
5.0 mph
1
10.0 mph
48

What are the solutions to the quadratic equation 4(x + 2)2 = 36

A
x = −11 and x = 7
B
x = −7 and x = 11
C
x = −5 and x = 1
D
x = −1 and x = 5
49

What is the quotient?x + 5 )4x2 + 14x − 9

A
4x + 6 +
Option A
B
4x + 6 −
Option B
C
4x − 6 +
Option C
D
4x − 6 −
Option D
50

The constraints of a problem are listed below. What are the vertices of the feasible region?

Question illustration
A
(0, 0), (0, 2.5), (1.5, 2), (3, 0)
B
(0, 0), (0, 4), (1.5, 2), (7.5, 0)
C
(0, 2.5), (1.5, 2), (4, 3)
D
(0, 4), (1.5, 2), (7.5, 0)
51

Flow rate, x(gal/hr)

1
100 hours
1
150 hours
1
180 hours
2
200 hours
52

What is the remainder when (3x3 – 2x2 + 4x – 3) is divided by (x2 + 3x + 3)?

3
30
3
3x – 11
2
28x – 36
2
28x + 30
53

What is the domain of the relation graphed below?

Question illustration
A
domain:
Option A
B
domain:
Option B
C
domain:
Option C
D
domain:
Option D
54

The members of the drama club have 100 tickets to sell to the school play. Students pay $5 per ticket, and nonstudents pay $10 per ticket. The drama club needs to collect at least $800 in total ticket sales. The system of inequalities represents the number of student tickets, s, and the number of nonstudent tickets, n, the members must sell. s + n ≤ 1005s + 10n ≥ 800

4
40
6
60
8
80
1
100
55

Solve x2 − 24x = −80 by completing the square.What is the solution set of the equation?

A
{2, 40}
B
{4, 20}
C
{5, 16}
D
{8, 10}
56

Which is a solution to the equation?(x − 3)(x − 5) = 35

A
x = −8
B
x = −5
C
x = 2
D
x = 10
57

A car dealership is offering $1,500 cash back on the purchase of a new vehicle. The cost, after the cash back, of a new vehicle can be modeled by the function C(x) = x – 1,500, where x is the original price of the vehicle. The vehicle is subject to a sales tax of 8.43%, so the total price of the vehicle is represented by the function P(C) = 1.0843C.

A
C(P(x)) = 1.0843x – 1,500
B
C(P(x)) = 1.0843x – 1,626.45
C
P(C(x)) = 1.0843x – 1,500
D
P(C(x)) = 1.0843x – 1,626.45
58

Using the Completing the Square method, what are the zeros of the quadratic function f(x) = 2x2 + 8x – 3?

A
x = –2 – and x = –2 +
Option A
B
x = –2 – and x = –2 +
Option B
C
x = 2 – and x = 2 +
Option C
D
x = 2 – and x = 2 +
Option D
59

What is the equation of a line with a slope of –2 that passes through the point (6, 8)?

A
2x + y = 20
B
y – 2x = 4
C
y – 2x = 20
D
2x + y = 4
60

What is the equation of the line perpendicular to that passes through the point (12, –6)?

Question illustration
3
3x + 2y = 24
3
3x + 2y = 6
2
2x – 3y = 42
2
2x – 3y = –48

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