Solving multi-step problems using non-linear equations in one variable

How many crossings are there?

(Of the green line and the blue curve?)

• 0

• 1

• 2

• 8

• 2

• -7

• -4

•  Add 7a to both sides

• Subtract 7a to both sides 

• Square root both sides 

• Square both sides

Solve

• 8

• 2

• 9

• 0

How many solutions are there? $\sqrt{0}$  

• No solutions

• 1 Solution

• 2 Solutions

• Infinite solutions

 $\sqrt{8-x}=x-6$  

• -7

• 7

• 4

• -4

 $\sqrt{\left(x-8\right)^2}=\sqrt{28}$  

•  $x^2-64=14$  

•  $x-8=\pm\sqrt{28}$  

Solve the equation. Check your work.  $\sqrt{2x}+4\ =\ 2$  

• x = -2

• x = -1

• x = 2 and x = -2

• No solution

• 1731

• 7

• 67

• No Solution

Solve.  Remember to check for extraneous solutions. 

• {-10}

• {9}

• {9,-10}

• NRS