Solving Square Root Equations
This worksheet focuses on solving square root equations, including identifying extraneous solutions, for Grade 10 Algebra students.
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Standards
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Solving Square Root Equations
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Solve each square root equation. Remember to check your solutions for extraneous roots.
1. Solve for x: √(x + 5) = 3
2. Solve for y: √(2y - 1) - 4 = 1
3. Find the value of a: 2√(a - 3) = 10
4. When solving √(x - 2) = x - 4, the potential solutions are x = 3 and x = 6. The extraneous solution is .
5. For the equation √(3x + 1) = x - 1, the solutions found are x = 0 and x = 5. The valid solution is .
6. Which of the following is an extraneous solution for the equation √(x + 7) = x + 1?
x = -3
x = 2
x = 0
No extraneous solutions
7. Solve for z: √(z - 3) + √(z + 2) = 5
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