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• Tests on solving radical equations and inequalities
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# Tests on solving radical equations and inequalities

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Note: These tests should be done in suggested order.

Current: Test on solving equations with radicals
•  Q1: 1 pts Which of these is radical equation?
 $x + \sqrt{2} = 3$ $x + 2 = \sqrt{3}$ $\sqrt{x} + 2 = 3$
•  Q2: 1 pts Which of these is not a radical equation?
 $\sqrt{x+1} = \sqrt{x+1}$ $x + 2 = \sqrt{x}$ $x + \sqrt{2} = \sqrt{23}$
•  Q3: 1 pts Find the solution $\sqrt{x^2} = \sqrt{x}$
 x = 2 x = -2 x = 0 x = 0 or x = 2
•  Q4: 1 pts The equation $\sqrt{-x} = 2$ has no soultions.
•  Q5: 2 pts Which equation does not have a solution?
 $-\sqrt{x} = -2$ $\sqrt{x} = 2$ $-\sqrt{-x} = -2$ $\sqrt{-x} = -2$
•  Q6: 2 pts Which equation does not have a solution?
 $\sqrt{x} = \sqrt{-x}$ $-\sqrt{x} = \sqrt{-x}$ $\sqrt{1-x} = \sqrt{x-1}$ $\sqrt{1+x} = \sqrt{x-1}$
•  Q7: 2 pts What is the solution of $\sqrt{x-1}-1=-1$?
 0 1 2 3
•  Q8: 2 pts What is the solution of $\sqrt{x+2}+4=7$
 -7 7 3 -3
•  Q9: 3 pts What is the solution of $\sqrt{x-12}-\sqrt{x} = -2$
 12 16 -12 -16
•  Q10: 3 pts What is the solution of $\sqrt{x+7} = 2\sqrt{2}$
 1 2 3 4
•  Q11: 3 pts What is the solution of $\sqrt{x^2-4x+9} = x-1$
 1 2 3 4