Solving Radical Equations - Grade 12 Math
This worksheet provides practice problems for solving radical equations, suitable for Grade 12 students.
Includes
Standards
Topics
Solving Radical Equations
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Read each problem carefully and solve for the variable. Remember to check for extraneous solutions.
1. Solve the equation: √(2x + 1) = 3
2. Find the solution(s) for: √(x - 3) + 5 = x
3. Solve for y: ∛(y + 2) = 4
4. When solving a radical equation, it is crucial to your answer(s) to check for extraneous solutions.
5. To eliminate a square root, you must both sides of the equation.
6. A solution that satisfies the transformed equation but not the original equation is called an solution.
7. Which of the following is an extraneous solution to the equation √(x + 6) = x?
3
-2
Both a and b
Neither a nor b
8. What is the first step in solving the equation √(3x - 2) + 4 = 9?
Square both sides
Subtract 4 from both sides
Add 2 to both sides
Divide by 3
9. Solve the equation: √(x + 7) - √(x - 1) = 2
10. Determine all solutions for: √(x^2 - 5x + 10) = x - 2