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.
Includes
Standards
Topics
Solving Radical Equations
Name:
Date:
Score:
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
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