Unit 9 Quiz Warm Up

Look at the following equation​:

​

​Sometimes there has to be more moved in order to isolate the x² value.

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      3x² - 192 = 0

• -32 or 32

• No Solution

• -8 or 8

• -64 or 64

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

What are the zeros?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2

Multiple Choice

Solve
a² + 2a - 24 = 0

• a = -6, 4

• a = 6, -4

• a = 12, -2

• a = 8, -3

Multiple Choice

Solve
2x² + 17x + 21 = 0

• x= ^-21/₂, -17

• x= ²/₃, 16

• x=-7, ^-3/₂

• x=15, -³/₇

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.

$$-10k^2-6k+6=0$$  

• $$x=\frac{-3\pm\sqrt{69}}{10}$$  

• $$x=\frac{6\pm2\sqrt{69}}{-20}$$  

• $$x=\frac{-3\pm\sqrt{51}}{10}$$  

• $$x=\frac{6\pm2\sqrt{51}}{-20}$$  

Multiple Choice

What is the solution of $$x^2=6x-3$$ ? Use the Quadratic Formula

• $$\frac{6\pm2\sqrt[]{6}}{-2}$$

• $$\frac{6\pm2\sqrt[]{6}}{2}$$

• $$\frac{-6\pm2\sqrt[]{6}}{-2}$$

• $$\frac{-6\pm-2\sqrt[]{6}}{-2}$$

Poll

How do you feel now after reviewing?

• Great, I'm ready!

• I should have studied more

• Not sure yet (in between)