# Worksheet: One-Variable Quadratic Inequalities

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

**Q1: **

Solve graphically.

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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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**Q13: **

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

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**Q16: **

Find the interval describing all solutions to the inequality .

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**Q17: **

Find the interval describing all solutions to 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 describing 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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