AnswersCA-Algebra I BUnit Test

Unit Test — Cumulative exam Answers

49 verified answers2 views
41
Free Preview

What is the vertex of the function f(x) = x2 + 12x?

A
(–6, –36)
B
(–6, 0)
C
(6, 0)
D
(6, –36)
42
Free Preview

Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation?

A
(negative 5 minus StartRoot 34 EndRoot comma negative 5 + Startroot 34 EndRoot)
Option A
B
(negative 5 minus StartRoot 29 EndRoot comma negative 5 + StartRoot 29 EndRoot)
Option B
C
{–12, 2}
D
{–2, 12}
43

The function graphed is reflected across the x-axis to create a new function.

Question illustration
A
Both the domain and range change.
B
Both the range and domain stay the same.
C
The domain stays the same, but the range changes.
D
The range stays the same, but the domain changes.
44

Which is the graph of f(x) = (x + 3)(x – 2)?

A
Option
B
Option
C
Option
D
Option
45

What is the product?

Question illustration
A
24 a squared minus 6 b
Option A
B
24 a squared minus 6 a b
Option B
C
24 a squared minus 18 b squared
Option C
D
24 a squared minus 18 a b
Option D
46

The function f(t) represents the cost to connect to the Internet at an online gaming store. It is a function of t, the time in minutes spent on the Internet.f(t) =Which statement is true about the Internet connection cost?

Question illustration
A
It costs $5 per hour to connect to the Internet at the gaming store.
B
The first half hour is free, and then it costs $5 per minute to connect to the Internet.
C
It costs $10 for each 90 minutes spent connected to the Internet at the gaming store.
D
Any amount of time over an hour and a half would cost $10.
47

What is f(x) = 7x2 + 42x written in vertex form?

A
f(x) = 7(x + 6)2 – 6
B
f(x) = 7(x + 6)2 – 42
C
f(x) = 7(x + 3)2 – 9
D
f(x) = 7(x + 3)2 – 63
48

A graph shows the horizontal axis numbered 4 to 16 and the vertical axis numbered 4 to 12. Points and a line show an upward trend.

Question illustration
A
–0.872
B
–0.191
C
0.191
D
0.872
49

Half of the product of two consecutive numbers is 105. Which equation can be used to solve for n, the smaller of the two numbers?

A
n2 + n – 210 = 0
B
n2 + n – 105 = 0
C
2n2 + 2n + 210 = 0
D
2n2 + 2n + 105 = 0
50

Marguerite wants to rent a carpet cleaner. Company A rents a carpet cleaner for $15 per day. Company B rents a carpet cleaner for $100 per week, with a one-time fee of $5.The following functions represent the rate structures of the two rental companies:x = the number of weeks Company Af(x) = 15(7x)Company Bg(x) = 100x + 5The function h(x) = f(x) – g(x) represents the difference between the two rate structures.Determine which statements about h(x) and about renting a carpet cleaner are true. Check all that apply.If Marguerite rents for 2 weeks, it will cost her more if she rents from Company B.If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B.If Marguerite rents for 1 week, it will cost her the same at either company.If Marguerite rents for 1 week, it will cost her more if she rents from Company A.h(x) = 5x – 5h(x) = 5x + 5

A
If Marguerite rents for 2 weeks, it will cost her more if she rents from Company B.
B
If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B.
C
If Marguerite rents for 1 week, it will cost her the same at either company.
D
If Marguerite rents for 1 week, it will cost her more if she rents from Company A.
E
h(x) = 5x – 5
F
h(x) = 5x + 5

Did you find these answers helpful?

More from this Course

RC
25 verified answers

Cumulative Exam

Quiz
25 verified answers

Unit Test

Quiz
15 verified answers

Unit Test

Unit Test — Cumulative exam Answers — CA-Algebra…