AnswersFL-1200340-Algebra 2 HonorsUnit Test

Unit Test — Unit test Answers

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A salesperson earns $200 a week plus a 4% commission on her sales. Which equation models the relationship between her sales in a given week, s, and her weekly earnings, e?

A
Option
Option A
B
e = 200s + 4
C
e = 4s + 200
D
Option
Option D
2
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Given , find f(7).

Question illustration
A
–4
B
3
C
7
D
56
3

Which graph represents y – 1 = 2(x – 2)?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

The table shows the population of Center City in various years. Use the data from 1990 and 2005 to create a linear model that predicts the population of the city (y) in a given year (x). In which year was the actual population of Center City most different from the value predicted by this model?YearCity Population1985194,9571990197,8001992199,5322000203,7502005206,5612012210,600

A
1985
B
1992
C
2000
D
2012
5

If a(x) = 3x + 1 and , what is the domain of ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

Which graph represents an odd function?

A
There are 6 points on a coordinate plane. The points are (negative 5, 3), (negative 3, 1), (negative 1, 1), (1, 3), (3, negative 5), (5, negative 1).
Option A
B
There are 8 points on a coordinate plane. The points are (negative 4, 2), (negative 3, negative 1), (negative 1, negative 3), (0, 1), (1, 0), (2, negative 4), (4, 5), (5, 4).
Option B
C
There are 8 points on a coordinate plane. The points are (negative 4, 0), (negative 3, 1), (negative 2, negative 3), (negative 1, negative 2), (1, 2), (2, 3), (3, negative 1), (4, 0)
Option C
D
There are 11 points on a coordinate plane. The points are (negative 4, 3), (negative 4, 4), (negative 3, 5), (negative 2, 1), (negative 1, negative 1), (0, negative 3), (1, negative 1), (2, 1), (3, 5), (4, 3), (4, 4).
Option D
7

Which of the following is an even function?

A
g(x) = (x – 1)2 + 1
B
g(x) = 2x2 + 1
C
g(x) = 4x + 2
D
g(x) = 2x
8

Given and , for which value of does ?

Question illustration
A
x = three-halves
Option A
B
x = 2
Option B
C
x = five-halves
Option C
D
x = 4
Option D
9

If and , what is the domain of ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

Which characteristic of a data set makes a linear regression model unreasonable?

A
a slope close to 0
B
a correlation coefficient close to 0
C
a slope close to –1
D
a correlation coefficient close to –1
11

If h(x) is the inverse of f(x), what is the value of h(f(x))?

A
0
B
1
C
x
D
f(x)
12

If f(x) = 7 + 4x and , what is the value of ?

Question illustration
A
Eleven-halves
Option A
B
StartFraction 27 Over 10 EndFraction
Option B
C
160
D
270
13

If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to ?

Question illustration
A
x3 – x2
B
–x3 + x2
C
–x3 + x2 – 1
D
x3 – x2 + 1
14

Which function has an inverse that is also a function?

A
g(x) = 2x – 3
B
k(x) = –9x2
C
f(x) = |x + 2|
D
w(x) = –20
15

Given , what is the average rate of change in f(x) over the interval [1, 5]?

Question illustration
A
–6
B
Negative one-half
Option B
C
One-fourth
Option C
D
1
16

The value, V(m), of a comic book m months after publication has an average rate of change of –0.04 between m = 36 and m = 60. Which statement must be true?

A
The value of the comic book decreased by a total of $0.04 between m = 36 and m = 60.
B
The value of the comic book increased by a total of $0.04 between m = 36 and m = 60.
C
The value of the comic book decreased by an average of $0.04 each month between m = 36 and m = 60.
D
The value of the comic book increased by an average of $0.04 each month between m = 36 and m = 60.
17

If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)?

A
(f + g)(x) 3 for all values of x
Option A
B
(f + g)(x) 3 for all values of x
Option B
C
(f + g)(x) 6 for all values of x
Option C
D
(f + g)(x) 6 for all values of x
Option D
18

Which of the following is an odd function?

A
f(x) = x3 + 5x2 + x
B
f (x) = StartRoot x EndRoot
Option B
C
f(x) = x2 + x
D
f(x) = –x
19

The cost, c, of a ham sandwich at a deli varies directly with the number of sandwiches, n. If c = $54 when n is 9, what is the cost of the sandwiches when n is 3?

A
$18
B
$21
C
$27
D
$48
20

To determine whether a graph of a relation is also a function, Shayla declares that the y-axis is a vertical line and counts the number of times that the graph intersects the y-axis. If the graph has exactly one y-intercept, Shayla concludes that the graph shows a function. In all other cases, she declares that it is not a function. Is Shayla applying the vertical line test correctly?

A
No, because the y-axis is a horizontal line.
B
No, because using the y-axis tests only whether x = 0 is mapped to multiple values.
C
Yes, because multiple y-intercepts represent multiple x-values being mapped to y = 0.
D
Yes, because the y-axis represents all vertical lines of the x-values.

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