3.3 Solving Quadratics with Quadratic Formula

3.3 Solving Quadratics (Quadratic Formula)

Multiple Choice

Which is NOT another name for the x-intercepts of a quadratic function?

• Roots

• Zeros

• Midpoints

• Solutions

Fill in the Blank

There are _____ possible outcomes when solving quadratic equations.

Multiple Choice

How many real solutions does this quadratic have?

• 0

• 1

• 2

• 3

Multiple Choice

How many real solutions does this quadratic have?

• 0

• 1

• 2

• 3

Solving by graphing

Use this picture to answer the next question.

Multiple Select

What are the solutions to the quadratic on the previous slide?

• X = -2

• X = -1

• X = 0

• X = 3

• X = 5

Open Ended

What does it mean for a number to be a perfect square?

Multiple Choice

What form does the quadratic equation need to be in to use the Quadratic Formula?

• Root Form

• Standard Form

• Vertex Form

Open Ended

What wording can we use to help us remember to change the sign of the b-value at the beginning of the quadratic formula?

Multiple Select

What were the 2 solutions from the example in video?

• $x=-\frac{4}{3}$

• $x=-\frac{1}{2}$

• $x=-\frac{5}{12}$

• $x=\frac{1}{2}$

• $x=\frac{4}{3}$

Multiple Choice

Practice simplifying square roots. 

Simplify

 $\sqrt{108}$  

•  $3\sqrt{6}$  

•  $3$  

•  $6\sqrt{3}$  

•  $6$  

Multiple Choice

Practice simplifying square roots with i. 

Simplify

 $\sqrt{-45}$  

•  $3\sqrt{-5}$  

•  $3\sqrt{5}i$  

•  $5\sqrt{3}i$  

•  $\sqrt{45}i$