# Lesson Worksheet: One-Variable Quadratic Inequalities Mathematics

In this worksheet, we will practice solving one-variable quadratic inequalities algebraically and graphically.

Q1:

Solve graphically.

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Q2:

Solve .

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Q3:

Solve graphically.

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Q4:

Solve graphically.

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Q5:

Solve graphically.

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Q6:

Solve graphically.

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Q7:

Solve graphically.

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Q8:

Solve graphically.

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Q9:

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

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Q10:

Solve the inequality .

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Q11:

Write the interval describing all solutions to the inequality .

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Q12:

Solve the inequality .

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Q13:

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

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Q14:

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

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Q15:

Solve the inequality .

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Q16:

Find the interval describing all solutions to the inequality .

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Q17:

Find the interval containing all solutions to the inequality .

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Q18:

Determine the solution set of the inequality .

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Q19:

Write the interval describing all solutions to the inequality .

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Q20:

Solve the inequality .

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Q21:

Write the interval containing all solutions to the inequality .

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Q22:

Solve .

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Q23:

Solve graphically.

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Q24:

The length of a rectangle is nine more than its width; the area of the rectangle is no more than 20. Write an inequality for the area of the rectangle, , in terms of the width, .

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Q25:

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

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