Grade 10 Math: Solving Radical Equations
This worksheet focuses on solving radical equations, including those with one or two radical terms, and identifying extraneous solutions, suitable for Grade 10 Algebra students.
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Standards
Topics
Solving Radical Equations
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Read each question carefully and solve for the variable. Remember to check for extraneous solutions.
1. Solve for x: √(x + 5) = 4
2. Solve for x: 2√(x - 3) = 10
3. When solving √(2x - 1) = x - 2, the potential solutions are x = 5 and x = 1. The extraneous solution is .
4. For the equation √(x + 7) = x - 5, the potential solutions are x = 9 and x = 2. The valid solution is .
5. Solve for x: √(x + 1) = √(2x - 7)
6. Solve for x: √(3x - 5) - √(x + 7) = 0
7. Which of the following is an extraneous solution for the equation x - √(x + 6) = 0?
x = 3
x = -2
x = 0
No extraneous solutions
8. Squaring both sides of a radical equation can sometimes introduce extraneous solutions.
True
False
9. Solve for x: √(x + 2) + 1 = x
10. Solve for x: √(x + 7) - √(x - 1) = 2