Solving Radical Equations

What is a radical equation?

• An equation that has an integer in a radicand.

• An equation that contains variables.

• An equation that has a variable in a radicand.

• None of the above.

If  $\sqrt{x-4}=7$  , what is the value of x?

• 11

• 18

• 45

• 53

What is an extraneous solution?

• A correct solution.

• A solution that satisfies a transformed equation but not the original one.

• An incorrect solution.

• None of the above.

If x is a real number, what is the solution set of the equation  $\sqrt{1-2x\ }=2$  ?

•  $\frac{3}{2}$  

•  $-\frac{3}{2}$  

•  $-2$  

• No solution

What is the value of x in the equation  $\sqrt{3+x}-5=-2$  ?

• 46
  

• 12

• 3

• 6

The solution set of the equation  $\sqrt{2x-4}+2=x$  is

•  $\left\{-2,-4\right\}$  

•  $\left\{2,4\right\}$  

•  $\left\{4\right\}$  

• No solution

The solution set of the equation  $\sqrt{x+6}=x$  is

• {-3, 2}

• {-3}

• {-2}

• No solution

Which equation has both 3 and 6 as roots?

• $\sqrt{x-2}=x-4$

• $\sqrt{x-2}=4-x$

• $\sqrt{x-2}=\frac{3}{x}$

• $\sqrt{x-2}=\frac{x}{3}$

Solve for x:  $5+\sqrt{3x-2}=9$  

What is Mrs. Torres' daughter's name?

• Vanessa

• Victoria

• Valerie

• Viviana