2/24 Alg2: Chapter 2 Review

2/24 Wednesday

Algebra 2

Morning/Afternoon Message

Hello scholars! Happy asynchronous day!

I hope you are enjoying your day so far. This lesson is designed to help you prepare for your final next week. The focus today is Chapter 2: Quadratic Functions.

REMEMBER THAT THIS ASSIGNMENT IS DUE TONIGHT BY 11:59 PM.

Announcements:

I have office hours Thursday and Friday.

All makeup work will be due by this Friday.

Complete makeup work to improve your grade.

Your Trimester 2 Final Exam is next week (Thursday or Friday).

Agenda

• Learning Target

• Overview of Chapter 2 (sections 1-3 only)

• "Do Now"

• Review & Questions for sections 1, 2, 3,

• Debrief

• Learning Target assessment

• Submit Quizizz assignment

Poll

Learning Target: I can apply my knowledge of the three forms of a quadratic function to solve problems.

Assess your current state of understanding of the learning target.

• 4 - I can teach it!

• 3 - I understand it.

• 2 - I'm getting there

• 1 - I don't understand, I need some more help.

Chapter 2 Overview: Quadratic Functions

• Vertex Form of a Quadratic Function (identify vertex, write a function in vertex form)

• Standard Form of a Quadratic Function (Identify constants, find vertex and y-intercept from standard form)

• Factored Form of a Quadratic Function (factor an expression, solve a quadratic equation by factoring)

Multiple Choice

Factor the polynomial: 

 $f\left(x\right)=x^2+7x+10$ 

(Hint: Which two numbers add to 7 and multiply to 10?) 

•  $f\left(x\right)=\left(x+5\right)\left(x+2\right)$  

•  $f\left(x\right)=\left(x+1\right)\left(x+7\right)$  

•  $f\left(x\right)=\left(x-7\right)\left(x-10\right)$  

Let's begin a full review

There are a total of 10 questions. I will review the section first, then you will answer 3-4 questions based on the specific review. Use the Chapter 2 Review Sheet to Help you!

Do your best! This review will help you be successful on your final next week :)

Section 1: Vertex Form of a Quadratic Function

Multiple Choice

1. Identify the vertex of the following function: $f\left(x\right)=\frac{1}{2}\left(x+2\right)-7$  

•  $\left(\frac{1}{2},2\right)$  

•  $\left(\frac{1}{2},-7\right)$  

•  $\left(-2,-7\right)$  

•  $\left(2,7\right)$  

Multiple Choice

2. Write the equation of the parabola in vertex form.

•  $f\left(x\right)=-12\left(x+3\right)^2+7$  

•   $f\left(x\right)=2\left(x-1\right)^2+9$  

•  $f\left(x\right)=5\left(x+1\right)^2-2$  

Multiple Choice

3. Write the equation of the parabola in vertex form.

•  $f\left(x\right)=\frac{1}{3}\left(x-1\right)^2-4$  

•   $f\left(x\right)=2\left(x-1\right)^2+9$  

•  $f\left(x\right)=5\left(x+1\right)^2-2$  

Section 2: Standard Form of a Quadratic Function

Multiple Choice

4. Identify the constants a, b, and c from the following function in standard form: 

 $f\left(x\right)=10x^2+3x-9$  

•  $a=0,\ b\ =-3,\ c=-9$  

•  $a=10,\ b=3,\ c=-9$  

•  $a=1,\ b=-3,\ c=-9$  

Multiple Choice

5. What is the vertex of the function?

•  $\left(0,2\right)$  

•  $\left(\frac{1}{2},-7\right)$  

•  $\left(4,-11\right)$  

Multiple Choice

6. Find the vertex and y-intercept of the function.

• Vertex: (2, 11).   y-intercept:  (0, 7)

• Vertex: (0, 0).   y-intercept:  (0, -3)

• Vertex: (4, 5).   y-intercept:  (0, 13)
  

Section 3: Factored Form of a Quadratic Function

Multiple Choice

7. Factor the expression.     $x^2-5x-24$  

•  $\left(x-4\right)\left(x-6\right)$  

•  $\left(x+3\right)\left(x-8\right)$  

•  $\left(x-3\right)\left(x-2\right)$  

Multiple Choice

8. Solve the equation.     

 $x^2=12x-20$  

•  $x=2,10$  

•  $x=4,\ 5$  

•  $x=2,\ 6$  

Multiple Choice

9. Factor the expression.

 $x^2-9$  

•  $\left(x-7\right)\left(x-2\right)$  

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

•  $\left(x+3\right)\left(x-3\right)$  

Multiple Choice

10. Last question!

Solve the equation by factoring.

 $x^2+8x=20$  

•  $x=2,\ 4$  

•  $x=-10,\ 2$  

•  $x=4,\ 5$  

Excellent work! Enjoy the rest of your Wednesday :)