In this worksheet, we will practice solving quadratic inequalities in one variable algebraically.

Q1:

Solve the inequality .

• A
• B
• C
• D

Q2:

Write the interval describing all solutions to the inequality .

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• B
• C
• D
• E

Q3:

Which of the following describes the solution set of the inequality ?

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• B
• C
• D
• E

Q4:

Write the interval describing all solutions to the inequality .

• A
• B
• C
• D
• E

Q5:

Find the interval describing all solutions to the inequality .

• A
• B
• C
• D

Q6:

Solve the inequality .

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• B
• C
• D
• E

Q7:

Find the interval describing all solutions to the inequality .

• A
• B
• C
• D

Q8:

Determine the solution set of the inequality .

• A
• B
• C
• D

Q9:

Given , find the solution set of the inequality by determining the sign of .

• A is negative when , which is the solution set of the inequality.
• B is negative when , which is the solution set of the inequality.
• C is negative when , which is the solution set of the inequality.
• D is negative when , which is the solution set of the inequality.

Q10:

A cell phone company has the following cost and revenue functions: and , where is the number of cell phones. State the range for the number of cell phones they can produce while making a profit. Round your answers to the nearest integer that guarantees a profit.

• A28–71 cell phones
• B28–70 cell phones
• Cmore than 160 cell phones
• D27–70 cell phones

Q11:

Solve the inequality .

• A
• B
• C
• D
• E

Q12:

Find all solutions to the inequality . Write your answer as an interval.

• A
• B
• C
• D

Q13:

Write the interval describing all solutions to the inequality .

• A
• B
• C
• D
• E