Square Roots to the Nearest Tenth

8.1 Solving square root equations

Steps

• Add/Subtract constants

• Multiply/Divide coefficients

• Square both sides

• Solve what is left (if necessary)

Example

• Step 1: Subtract 4 from both sides

• Step 2: Square both sides (all of x+15 is under the radical)

• Step 3: Solve what is left x+15 = 16

• x = 1

Multiple Choice

$$-1\sqrt{x-11}-11=-18$$  What is the first step in solving this problem?

• Add 11 

• Divide by -1

• Square both sides

 $-1\sqrt{x-11}-11=-18$  

Fill in the Blank

$$\sqrt{x}+3=-9$$  
Only type the number answer

Fill in the Blank

$$\sqrt{x-7}+10=1$$  
Only type the number answer

Fill in the Blank

$$-9\sqrt{x-11}-9=8$$  
Write your answer as a DECIMAL ROUNDED TO THE NEAREST TENTH