Solving Radical Equations Pre-Test

Solving Radical Equations - Pre-Test

Multiple Select

Given $$\sqrt{4x+9}=5$$   What is the first step to solve for x?

• Subtract 9 from each side

• Subtract 5 from each side

• Square each side to eliminate the radical

• Divide each side by 4

Multiple Select

Given $$4x+9=25$$  

What is the second step to solve for x?

• Subtract 9 from each side

• Subtract 5 from each side

• Square each side to eliminate the radical

• Divide each side by 4

Multiple Select

Given $$4x=16$$  

What is the last step to solve for x?

• Subtract 9 from each side and see x = 4

• Subtract 5 from each side and see x = 4

• Square each side to eliminate the radical and see

  x = 4

• Divide each side by 4 and see x = 4

Multiple Select

Given $$\sqrt[2]{4x+9}=5$$  

We found x = 4. . . Is this correct?

• Yes

• No

Multiple Select

Given the equation: $$\sqrt[3]{y^2+y-14}=\sqrt[3]{y+50}$$

What is the value of y? Select all that apply.

• y = 8

• y = 4

• y = -8

• y = -4

Fill in the Blanks

Find the value of r in the given equation using your graphing calculator:

$\sqrt[3]{r^2+2r+8}=\sqrt[3]{r^2}$