Methods of solving review

Methods of solving review

Review for your quiz tomorrow!

Poll

Below are the 4 ways that we learned to solve equations. Which method are you MOST confident with?

• Quadratic Formula

• Completing the Square

• Using square roots

• Factoring

Poll

Below are the 4 ways that we learned to solve equations. Which method are you LEAST confident with?

• Quadratic Formula

• Completing the Square

• Using square roots

• Factoring

Reviewing the Methods of solving

Use the next few slides to practice and remember which method is the BEST to use and why. (HINT: Write this down so you have a copy of this for your quiz!)

Taking the Square Roots

(ax+c)²=0

ax²+c =0

• Missing "b" or "x" term

• Doesn't have to =0

• Get x² or the binomial squares by itself before taking the square root.

• Don't forget the +/-

Multiple Choice

Solve the equation using the square root method. Simplify!

• $\frac{7}{8}$

• $\pm\frac{7}{8}$

• $\pm\sqrt{\frac{49}{64}}$

• $\frac{49}{64}$

Completing the Square

ax²+bx+c=0

• The "b" or "x" term is even

• Starts with x² or has a GCF

• Doesn't need to =0

• After factoring, Set both factors =0 and SOLVE for x.

Multiple Choice

Solve by completing the square:

 $x^2+10x=-9$  

• x = 1 and -12

• x = 1 and -9

• x = -1 and -9

• x = 1 and -1

Factoring

ax²+bx+c=0

• Must be in standard form and =0

• If missing "c" term the use GCF Factor (Pull out the biggest number the terms share)

• After factoring, Set both factors =0 and Solve for x.

• 
  

Multiple Choice

Solve the equation by factoring.

 $5x^2-14x-24$  

•  $x=4\ and\ \frac{6}{5}$  

•  $x=\ 4\ and\ -\frac{6}{5}$  

•  $x=\ -4\ and\ \frac{6}{5}$  

•  $x\ =\ -4\ and\ -\frac{6}{5}$  

Quadratic Formula

• Must be in standard form and =0

• Use when equation is not factorable

• ALL QUADRATICS CAN BE SOLVED WITH THE QUADRATIC FORMULA!

Multiple Choice

Solve the equation using the quadratic formula.

 $-10k^2-6k+6=0$  

•  $x=\frac{-3\pm\sqrt{69}}{10}$  

•  $x=\frac{6\pm2\sqrt{69}}{-20}$  

•  $x=\frac{-3\pm\sqrt{51}}{10}$  

•  $x=\frac{6\pm2\sqrt{51}}{-20}$  

Poll

How do you feel now after reviewing?

• Great, I'm ready!

• Not ready... yet (I'd recommend you go to after school tutoring with Mr. McMillan)

• Not sure yet (inbetween)