AnswersFL-1200700-Mathematics for College Algebra MISSolving One-Variable Inequalities

Solving One-Variable Inequalities — Unit test Answers

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1
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Sara wants to find the input value that produces the same output for the functions represented by the tables.

Question illustration
A
–2
B
–1
C
1
D
2
2
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Solve the inequality.2(4+2x)≥5x+5

x
x≤−2
x
x≥−2
x
x≤3
x
x≥3
3

Which equation can be used to represent "six added to twice the sum of a number and four is equal to one-half of the difference of three and the number”?

A
6 + 2(x + 4) = (3 – x)
Option A
B
6 + 2(x + 4) = (x – 3)
Option B
C
(6 + 2)(x + 4) = (3 – x)
Option C
D
(6 + 2)(x + 4) = (x – 3)
Option D
4

Bianca wrote the steps for her solution to the equation 2.3 + 8(1.3x – 4.75) = 629.9. She left out the description for the last step.What is the missing step of her solution?

Question illustration
A
Add 10.4 to both sides.
B
Add negative 10.4 to both sides.
C
Multiply both sides of the equation by 10.4.
D
Divide both sides of the equation by 10.4.
5

Four milliliters of ink A is added to 10 milliliters of ink B, forming a mixture of inks. Ink A contains 10% blue pigment. Ink B contains an unknown percentage of blue pigment. The mixture of the two inks contains 35% blue pigment.What percentage of blue pigment is in ink B?

A
45%
B
49%
C
60%
D
75%
6

Which number line represents the solution set for the inequality 3x < –9?

A
A number line from negative 4 to 4 in increments of 1. A point is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
Option A
B
A number line from negative 4 to 4 in increments of 1. A point is at negative 3 and a bold line starts at negative 3 and is pointing to the right.
Option B
C
A number line from negative 4 to 4 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
Option C
D
A number line from negative 4 to 4 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.
Option D
7

What is the solution to –4(8 – 3x) ≥ 6x – 8?

A
x ≥ –
Option A
B
x ≤ –
Option B
C
x ≥ 4
D
x ≤ 4
8

Hiroshi spends 30 minutes on history homework, 60 minutes on English homework, and x minutes on math homework. One fourth of his total homework time is spent on math. Which equation can be used to find the amount of time Hiroshi spends on his math homework?

A
(x + 30 + 60) = x
Option A
B
(x) = x(30 + 60)
Option B
C
x(30 + 60) = x
Option C
D
(x) = (30 + 60)
Option D
9

What value of x is in the solution set of the inequality –2(3x + 2) > –8x + 6?

A
–6
B
–5
C
5
D
6
10

Consider the equation v + 4 + v = 8. What is the resulting equation after the first step in the solution?

Question illustration
A
v +4 = 8 – v
Option A
B
v +4 = 8
Option B
C
4 + v = 8 – v
Option C
D
2v + 4 = 8
11

What interval includes all possible values of x, where –3(6 – 2x) ≥ 4x + 12?

A
(–∞, –3]
B
[–3, ∞)
C
(–∞, 15]
D
[15, ∞)
12

The amount of potential energy, P, an object has is equal to the product of its mass, m, its height off the ground, h, and the gravitational constant, g. This can be modeled by the equation P = mgh.

A
= h
Option A
B
= h
Option B
C
Pmg = h
D
= h
Option D
13

Tickets to a school production cost $5 for a student ticket and $10 for an adult ticket. A total of 67 tickets were purchased at a cost of $440.

Question illustration
A
67
B
440
C
67 – a
D
440 – a
14

Last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends of her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been of her paycheck. Which equation can be used to find h, the number of hours Lindsay worked last week?

Question illustration
A
(10h + 60) = (10h)
Option A
B
(10h + 60h) = (10h)
Option B
C
h(10 + 60) = h(10)
Option C
D
(10 + 60h) = (10h)
Option D
15

How many solutions exist for the given equation?3(x + 10) + 6 = 3(x + 12)

A
zero
B
one
C
two
D
infinitely many

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