Radical-equations-worksheet.pdf

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I. Model Problems. II. Practice III. Challenge Problems IV. Answer Key

Web Resources Video Tutorial of How To Solve Radical Equations www.mathwarehouse.com/radical-equations/how-to-solve-radical-equations.php

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Solving Radical Equations There are four steps to solving radical equations: 1. Isolate the radical. 2. Square both sides. 3. Solve for x. 4. Check for extraneous solution(s). I. Model Problems In the following examples you will solve radical equations. Example 1: Solve for x. Isolate the radical.

Square both sides. Solve for x.

Check for extraneous solution.

Solution checks. Answer: Example 2: Solve for x. Isolate the radical.

Square both sides. Solve for x.

Check for extraneous solution.

Solution is extraneous. Answer: no solution www.MathWorksheetsGo.com

II. Practice Problems Solve. 1.

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x  1  15  7 x

III. Challenge Problems Solve. 23.

x  5 1  x

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25. 26.

The surface area of a cone is found with the formula the cone below. Use .

. Find h for

h

6 cm

27.

Shown is a student’s work. Find the error.

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IV. Answer Key 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 2 21. 22. 4 23. 24. 25. 26. 27. In the first step the student needs to isolate the radical by subtracting two from both sides before squaring. Also, the student squared the right side of the equation incorrectly; they would need to apply FOIL.

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