AnswersFL-1200700-Mathematics for College Algebra MISSolving Linear Equations: Variable on One Side

Solving Linear Equations: Variable on One Side — Unit test Answers

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On a coordinate plane, a curved line crosses the y-axis at (0, 1), crosses the x-axis at (.25, 0), turns at point (2, negative 3), and crosses the x-axis (3.75, 0).

Question illustration
A
all the real numbers
B
all the real numbers greater than or equal to 0
C
all the real numbers greater than or equal to 2
D
all the real numbers greater than or equal to –3
2
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The table represents the function f(x).

Question illustration
A
–29
B
–10
C
–3
D
–1
3

A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries 15, negative 5, 0, 5, 0, negative 5.

Question illustration
A
f(x) ≤ 0 over the interval (–∞, ∞).
B
f(x) > 0 over the interval (–1, ∞).
C
f(x) ≥ 0 over the interval [–1, 1].
D
f(x) < 0 over the interval (0, 2).
4

A store sells notebooks for $3 each and does not charge sales tax. If x represents the number of notebooks Adele buys and y represents the total cost of the notebooks she buys, which best describes the values of x and y?

A
The value of x can be any real number, and y will be a real number.
B
The value of x can be any real number greater than or equal to 0, and y will be a real number greater than or equal to 0.
C
The value of x can be any integer, and y will be an integer.
D
The value of x can be any integer greater than or equal to 0, and y will be an integer greater than or equal to 0.
5

A 2-column table with 7 rows. The first column is labeled x with entries negative 6, negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries 8, 2, 0, negative 2, negative 1, 0, 4.

Question illustration
A
(–2, 0)
B
(0, –2)
C
(2, –1)
D
(4, 0)
6

Which statements about the local maximums and minimums for the given function are true? Choose three options.

A
Over the interval [1, 3], the local minimum is 0
B
Over the interval [2, 4], the local minimum is –8.
C
Over the interval [3, 5], the local minimum is –8.
D
Over the interval [1, 4], the local maximum is 0.
E
Over the interval [3, 5], the local maximum is 0.
7

Which graph shows a set of ordered pairs that represent a function?

A
Option
B
Option
C
Option
D
Option
8

Which graph shows the equation c = 10+ 3t, where c is the total cost of going to the carnival and t is the number of $3 tickets purchased?

A
On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). A straight line with a positive slope begins at point (0, 10) and ends at point (6, 27).
Option A
B
On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles are at points (0, 10), (1, 14), (2, 16), (3, 19), (4, 22), (5, 25), (6, 28).
Option B
C
On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). A straight line with a positive slope begins at point (0, 10) and ends around point (6, 60).
Option C
D
On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles are at points (0, 3), (1, 13), (2, 24), (3, 34), (4, 43), (5, 54).
Option D
9

The graph of the function f(x) is shown below.

Question illustration
A
-1.8
B
-1.2
C
0
D
5
10

The volume of air inside a rubber ball with radius r can be found using the function . What does represent?

Question illustration
A
the radius of the rubber ball when the volume equals cubic feet
Option A
B
the volume of the rubber ball when the radius equals feet
Option B
C
that the volume of the rubber ball is 5 cubic feet when the radius is 7 feet
D
that the volume of the rubber ball is 7 cubic feet when the radius is 5 feet
11

The graph of y = 4 – is shown.

Question illustration
A
The x-intercept of the graph is (4, 0).
B
The graph has no y-intercepts.
C
The maximum of the graph occurs at the y-intercept.
D
The minimum of the graph occurs at the x-intercept.
12

Consider the function represented by the table.

Question illustration
A
4
B
5
C
6
D
7
13

Which is the graph of y = –|2x + 1|?

A
Option
B
Option
C
Option
D
Option
14

What is the inverse of the function f(x) = x – 12?

Question illustration
A
h(x) = 48x – 4
B
h(x) = 48x + 4
C
h(x) = 4x – 48
D
h(x) = 4x + 48
15

The function f(x) is shown on the graph.

Question illustration
A
12 only
B
2 and 3 only
C
–2, –1, 1, and 2 only
D
–2, –1, 1, 2 and 12
16

If f(x) = 2x2 + 1, what is f(x) when x = 3?

A
1
B
7
C
13
D
19
17

A 2-column table with 6 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 8, negative 3, negative 3, 4, 1, 3.

Question illustration
A
(–1, –3)
B
(0, –2)
C
(1, 4)
D
(2, 1)
18

The table represents a function.

Question illustration
A
–6
B
–2
C
4
D
7
19

A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries 0, 2, 8, 2, 0, negative 2.

Question illustration
A
(0, 8)
B
(–4, 0)
C
(–4, 0), (4, 0)
D
(–4, 0), (0, 8), (4, 0)
20

Which set of ordered pairs represents a function?

A
{(2, –2), (1, 5), (–2, 2), (1, –3), (8, –1)}
B
{(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)}
C
{(6, 8), (5, 2), (–2, –5), (1, –3), (–2, 9)}
D
{(–3, 1), (6, 3), (–3, 2), (–3, –3), (1, –1)}

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