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
Name:
Date:
Score:
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
Related Worksheets
Perfect Square Trinomials
This worksheet focuses on identifying, factoring, and constructing perfect square trinomials, essential skills for Grade 12 Algebra.
Solving Square Root Equations
This worksheet focuses on solving square root equations, including identifying extraneous solutions, for Grade 12 Algebra students.
Finding Polynomial Functions from Graphs
Grade 12 math worksheet on determining polynomial functions given their graphs, focusing on roots, multiplicity, and end behavior.
Combining Polynomials Worksheet
Grade 12 math worksheet on combining polynomials, including addition, subtraction, multiplication, and division.
Equations with Infinite and No Solutions
Explore linear equations that result in infinite solutions (identities) or no solutions (contradictions) at a Grade 12 level.
Grade 12: Rearranging Equations
This worksheet focuses on rearranging complex algebraic equations to solve for specific variables, suitable for Grade 12 mathematics.
Grade 12: Rearranging Equations
This worksheet focuses on rearranging complex algebraic equations to solve for specific variables, suitable for Grade 12 mathematics.
Direct Variation Worksheet
A Grade 12 mathematics worksheet focusing on direct variation, including identifying direct variation, writing equations, and solving problems.