Review Quadratic Formula

Poll

Rank your confidence on using the Quadratic Formula:

1 being little to no confidence - 5 fully confident to teach a friend

• 1

• 2

• 3

• 4

• 5

Quadratic Formula

• This is a self-paced review lesson on using the Quadratic Formula

• In this lesson, steps are broken down more to build your confidence

• You are encouraged to take additional notes and raise your hand for questions before moving to the next slide

Multiple Choice

Identify the values of a, b, and c $$10x^2+7x-20=0$$

• a= 1, b=7, c=-20

• a=10, b=7, c=20

• a=10, b=-7, c=-20

• a=10, b=7, c=-20

Multiple Choice

Identify the values of a, b, and c $$3x^2-11x-14=0$$

• a= 3, b=-11, c=-14

• a=3, b-14, c=-11

• a=3, b=11, c=14

• a=3, b=14, c=11

Multiple Choice

Which of the following quadratic equation is written in standard form?

• $$4x^2-11=5x$$

• $$4x^2-11+5x=0$$

• $$4x^2-5x+11=0$$

• $$5x-11=4x^2$$

Open Ended

Explain what we should do to write the quadratic function in standard form? $$4x^2-11=-5x+3$$

Using the Quadratic Formula

Fill in the Blanks

Set the following quadratic $=0$ to use the quadratic formula.

  $9x^2+6x-1=-4x$

Identify the  $a$  ,  $b$  , and  $c$  values.  Write them in order with commas between.

Step 2: Substitute the a, b, & c values into the quadratic formula

                                                                        
               
    
 

Multiple Choice

Simplify the radical/square root $$\sqrt[]{\left(10\right)^2-4\left(9\right)\left(-1\right)}$$

• 8

• $$\sqrt[]{64}$$

• $$\sqrt[]{136}$$

• $$2\sqrt[]{34}$$

Step 3: Simplify the radical/square root completely

 

  

Step 5: Replace the radical and continue simplifying completely

 

 

 

Don't forget!!!

Fill in the Blanks

What are the two solutions for the expression below?  $-3\pm5$  

List with a comma between the two solutions

Time to practice!!

Make sure you write the formula down in your notes

so you can complete the next 3 slides.

Multiple Choice

What are the solutions of $$a^2=6a+3$$ ?

• $$a=\frac{7\pm\sqrt{129}}{2}$$  

• $$a=3\pm2\sqrt{3}$$  

• $$a=\frac{7\pm\sqrt{69}}{2}$$  

• $$a=\frac{-7\pm\sqrt{129}}{2}$$  

Multiple Choice

What are the solutions of $$-4b^2-12b=-6b^2+9-6b$$ ?

• $$b=3\pm3\sqrt{2}$$  

• $$b=\frac{-5\pm2\sqrt{7}}{3}$$  

• $$b=\frac{3\pm3\sqrt{3}}{2}$$  

• $$b=\frac{6\pm3\sqrt{11}}{7}$$  

Multiple Choice

What are the solutions of $$-1=-2x^2+3x$$ ?

• $$x=\frac{3\pm\sqrt{17}}{4}$$  

• $$x=\frac{-3\pm\sqrt{18}}{4}$$  

• $$x=\frac{3\pm\sqrt{17}}{-4}$$  

• $$x=\frac{3\pm\sqrt{18}}{2}$$  

With practice, it gets easier...

Poll

After today's review...rank your confidence on using the Quadratic Formula:

1 being little to no confidence - 5 fully confident to teach a friend

• 1

• 2

• 3

• 4

• 5

Check to make sure you have submitted "Who Found It?" The Quadratic Formula assignment!

If not... work on that assignment before we start new notes for today