Question 1

Rewrite the inequality  so the variable appears on the left.

Accepted Answer

To rewrite the inequality with the variable on the left, we need to subtract x from both sides. This gives us:

-3x > 9

Dividing both sides by -3 (and flipping the inequality because we're dividing by a negative number) gives:

x < -3

So the rewritten inequality is:

x < -3

Choice B is the closest to this answer, as it also has x on the left side. Choice A doesn't have x at all, so it's not a valid answer.

Question 2

Given the solution set drawn on the number line give the solution in interval notation.

Accepted Answer

The answer of Given the solution set drawn on the...

Question 3

Solve the inequality.

Accepted Answer

The answer of Solve the inequality. 
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Question 4

At your job you earn $12 per hour. You want to earn at least $186 next week to cover your school and car expenses. If you work h hours next week solve the inequality described in this problem.

Accepted Answer

The amount you earn in a week is given by the formula:
Amount earned = (Hourly rate) x (Number of hours worked)

Let h be the number of hours you work next week. Then, your earnings are:

Earnings = 12h

We want to find h such that your earnings are at least $186, or:

12h >= 186

Dividing both sides by 12:

h >= 15.5

Since h represents the number of hours you work next week, it must be a non-negative integer. Therefore, you need to work at least 16 hours next week to reach your goal.

The correct inequality is:

h >= 16

which corresponds to choice B.

Question 5

You estimate that your grade on the math test goes up 2.5 points for every hour that you study. If you do not study at all you would get a 65 on the test but you want to get at least an 85. If h is the hours that you study solve the inequality to determine how many hours you need to study.

Accepted Answer

The answer of You estimate that your grade on the...

Question 6

Rewrite the inequality  so that the variable appears on the left.

Accepted Answer

The answer of Rewrite the inequality  so that the...

Question 7

Given the solution set drawn on the number line give the solution in interval notation.

Accepted Answer

The answer of Given the solution set drawn on the...

Question 8

Given the solution set drawn on the number line give the solution in interval notation.

Accepted Answer

The answer of Given the solution set drawn on the...

Question 9

Solve the inequality.

Accepted Answer

The answer of Solve the inequality. 
...

Question 10

Solve the inequality.

Accepted Answer

The answer of Solve the inequality. 
...

Question 11

Solve the inequality.

Accepted Answer

The answer of Solve the inequality. 
...

Question 12

Solve the inequality.

Accepted Answer

The answer of Solve the inequality. 
...

Question 13

Solve the inequality.

Accepted Answer

The answer of Solve the inequality. 
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Question 14

Your cell phone plan costs $40 per month and includes 450 voice minutes. Each minute or fraction of a minute over the 450 costs $0.55 per minute. Your budget allows at most $55 for your cell phone bill. Let m be the minutes over 450 that you talk. Solve the inequality to determine how many minutes over 450 you could talk and still remain within your budget.

Accepted Answer

The answer of Your cell phone plan costs $40 per...

Question 15

Solve the inequality.

Accepted Answer

The answer of Solve the inequality. 
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Question 16

Solve the inequality.

Accepted Answer

The answer of Solve the inequality. 
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Question 17

Given the solution set drawn on the number line give the solution in interval notation.

Accepted Answer

The solution set starts at -2 and ends at 8, but it does not include those endpoints. In interval notation, this is written as (-2,8). Option C correctly represents this interval.

Question 18

Solve the inequality.

Accepted Answer

The answer of Solve the inequality. 
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Question 19

Solve the inequality.

Accepted Answer

The answer of Solve the inequality. 
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Question 20

Given the solution set drawn on the number line give the solution in inequality notation.

Accepted Answer

The solution set appears to be all the numbers to the left of -5 on the number line. In inequality notation, this would be x < -5. The only answer choice that represents this is B, which shows x < -5.

Quiz 2: Linear Equations and Inequalities With One Variable

Rewrite the inequality so the variable appears on the left.

Given the solution set drawn on the number line give the solution in interval notation.

Solve the inequality.

At your job you earn $12 per hour. You want to earn at least $186 next week to cover your school and car expenses. If you work h hours next week solve the inequality described in this problem.

You estimate that your grade on the math test goes up 2.5 points for every hour that you study. If you do not study at all you would get a 65 on the test but you want to get at least an 85. If h is the hours that you study solve the inequality to determine how many hours you need to study.

Rewrite the inequality so that the variable appears on the left.

Given the solution set drawn on the number line give the solution in interval notation.

Given the solution set drawn on the number line give the solution in interval notation.

Solve the inequality.

Solve the inequality.

Solve the inequality.

Solve the inequality.

Solve the inequality.

Solve the inequality.

Solve the inequality.

Given the solution set drawn on the number line give the solution in interval notation.

Solve the inequality.

Solve the inequality.

Given the solution set drawn on the number line give the solution in inequality notation.