STAAR Success Day 18

STAAR Success Day 18

A8A and A8B

Multiple Choice

Do Now: Which system of equations has no real solutions?

Multiple Choice

Do Now: What is the solution to this system of equations?

• (-3,2)

• (-3,-2)

• (-2,3)

• (-2,-3)

Multiple Choice

Do Now: What is another name for x-intercept?

• Zero or Solution

• Y-intercept

• X-axis and Y-axis

• Point Slope Form

Solving Quadratic Equations

• Solve by taking the Square Root

• Solve by Factoring

• Solve by Graphing

• Solve by using the Quadratic Formula

• Solve by Completing the Square

Chat Box Challenge

• Quick Response: What is the inverse operation for addition?

• Subtraction

• Quick Response: What is the inverse operation for multiplication?

• Division

• Challenge!! What is the inverse of squaring something?

• Taking the square root =) Let's look at an example on the next slide.

Multiple Choice

When you solve a quadratic equation using square roots you will have a positive and negative solution.

• True

• False

Multiple Choice

 $x^2=121$  

Solve using square roots.

• x= +/- 10

• x= +/- 11

• x= +/- 60.5

• x= +/- 119

Multiple Choice

 $\left(x+2\right)^2=81$  

Challenge problem: Solve the quadratic equation for x.

• x= 7, 11

• x= 7, -11

• x= 9

• x= 9, -9

Solve by Graphing

You know my #1 piece of advice...

Make a PICTURE>

A graph will tell you so many important pieces of information.

Multiple Choice

 $f\left(x\right)=x^2-x-12$  

What are the zeros of the function.

• x = 3 and x = -4

• x = -3 and x = -4

• x = 0

• (0,0)

Solve by factoring.

• When factoring an expression remember to first Identify the a,b,c values.

  Ex: f(x) = x²+9x+20

  
  

  What are the a,b,c values? Type your answer in the chat box.

• a=1 b=9 c=20

• When Factoring with a=1 you must find two numbers that multiply to get "c" and add to get "b"

• If a>1 then use the slip n slide method, or work backwards using the answer choices.

Multiple Choice

 $f\left(x\right)=x^2-x-12$  

What is the factored form of the quadratic equation?

• (x-3)(x+4)

• (x-3)(x-4)

• (x+3)(x-4)

Multiple Choice

 $f\left(x\right)=x^2-9x+20$  

Factor the quadratic expression.

•  $\left(x-4\right)^2$  
  

•  $\left(x+4\right)\left(x+5\right)$  
  

•  $\left(x-4\right)\left(x-5\right)$  
  

Multiple Choice

What are the factor and solutions of x²-9x+18?

• (x+3)(x+6); x=-3 and x=-6

• (x-2)(x-9); x=2 and x=9

• (x-3)(x+3); x=3 and x=-3

• (x-3)(x-6); x=3 and x=6

Test your skills: Independent Practice

A8A Quiz 1:

https://quizizz.com/join?gc=55117042

Exit Ticket:

A10E Quiz 3:

https://quizizz.com/join?gc=62900370