Literal Equations Answers

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Which represents the solution set of

Question illustration
A
x less-than 12
Option A
B
x greater-than 12
Option B
C
x less-than 16
Option C
D
x greater-than 16
Option D
2
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Which graph represents the solution set of the inequality

Question illustration
A
A number line goes from negative 9 to positive 9. A solid circle appears on positive 3. The number line is shaded from positive 3 through negative 9.
Option A
B
A number line goes from negative 9 to positive 9. An open circle appears at positive 3. The number line is shaded from positive 3 through positive 9.
Option B
C
A number line goes from negative 9 to positive 9. A closed circle appears at positive 4. The number line is shaded from positive 4 through positive 9.
Option C
D
A number line goes from negative 9 to positive 9. An open circle appears at positive 4. The number line is shaded from positive 4 through negative 9.
Option D
3

Manuel has $600 in a savings account at the beginning of the summer. He wants to have at least $300 in the account at the end of the summer. He withdraws $28 each week for food. Which inequality represents w, the number of weeks Manuel can withdraw money while not dropping below a $300 balance?

A
28 minus 600 w less-than-or-equal-to 300
Option A
B
28 minus 600 w greater-than-or-equal-to 300
Option B
C
600 minus 28 w less-than-or-equal-to 300
Option C
D
600 minus 28 w less-than-or-equal-to 300
Option D
4

Which values of x satisfy the inequality

Question illustration
A
x greater-than-or-equal-to 5
Option A
B
x less-than-or-equal-to 5
Option B
C
x less-than-or-equal-to 8
Option C
D
x greater-than-or-equal-to 8
Option D
5

Serena makes $9 per hour cutting lawns. Each day, she earns about $15 in tips. If Serena made no less than $110 on Monday, which inequality represents h, the number of hours she worked on Monday?

A
15 h + 9 less-than-or-equal-to 110
Option A
B
15 h + 9 greater-than-or-equal-to 110
Option B
C
9 h + 15 greater-than-or-equal-to 110
Option C
D
9 h + 15 less-than 110
Option D
6

Which represents the solution set of the inequality

Question illustration
A
x less-than-or-equal-to twelve-fifths
Option A
B
x greater-than-or-equal-to twelve-fifths
Option B
C
x greater-than-or-equal-to 6
Option C
D
x less-than-or-equal-to 6
Option D
7

A construction elevator can carry at most 2,320 pounds. If the elevator operator weighs 195 pounds and each palette of roofing material weighs 425 pounds, what is the maximum number of palettes of roofing material that the elevator can carry in one trip?

A
4.5
B
5
C
6
D
9.7
8

Which graph shows the solution set of the inequality

Question illustration
A
A number line goes from negative 10 to positive 10. A solid circle appears at 0. The number line is shaded from 0 toward positive 10.
Option A
B
A number line goes from negative 10 to positive 10. An open circle appears at 0. The number line is shaded from 0 toward positive 10.
Option B
C
A number line goes from negative 10 to positive 10. A closed circle appears at positive 1. The number line is shaded from positive 1 toward negative 10.
Option C
D
A number line goes from negative 10 to positive 10. An open circle appears at positive 1. The number line is shaded from positive 1 toward negative 10.
Option D
9

Which inequality has no solution?

A
6 (x + 2) greater-than x minus 3
Option A
B
3 + 4 x less-than-or-equal-to 2 (1 + 2x)
Option B
C
Negative 2 (x + 6) less-than x minus 20
Option C
D
x minus 9 less-than 3 (x minus 3)
Option D
10

A taxi service charges a flat fee of $1.25 and $0.75 per mile. If Henri has $14.00, which of the following shows the number of miles he can afford to ride in the taxi?

A
m less-than-or-equal-to 17
Option A
B
m greater-than-or-equal-to 17
Option B
C
m less-than-or-equal-to 20.3
Option C
D
m greater-than-or-equal-to 20.3
Option D

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