Plan For Today:

1. Review 4.7 - Max/Min ProblemsInstead of a Check-in Quiz, you can work on Project B

3. Work through 4.8-4.9 Solving Linear & Quadratic Inequalities

Plan Going Forward:

1. Finish any questions in the worktext by next class 2. Finish Project B by Next Class Tuesday, Nov. 2nd3. Complete Ch4 Review and Practice test in workbook

Chapter 4 Test is next class on Tuesday, Nov. 2nd

4. After the ch4 Test next class, we will review ch3 and 4 for the unit 2 exam

Unit 2 Exam (Ch3-4) is on Thursday, Nov. 4th

Please let me know if you have any questions or concerns about your progress in this course. The notes from today will be posted at anurita.weebly.com after class.

Thursday, Oct. 28th

Ch4 Page 1

Maximum Area Word Problem - Solved by Completing the Square

Completing the Square - Introduction: Quick Explanation!

4.7 Review

Ch4 Page 2

Maximizing Revenue Word Problem (Completing the Square): Straightforward Worked Example!

Ch4 Page 3

Ch4 Page 4

https://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=142&ClassID=5272316

4.8 Solving Linear & Quadratic Inequalities by Graphing

Ch4 Page 5

To solve a linear or quadratic inequality in two ways:A) graphicallyB) algebraically

https://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=162&ClassID=5272316

Ch4 Page 6

Ch4 Page 7

A) Solve a quadratic inequality by graphing:Move all terms to one side and make the inequality equal zero1.Solve the quadratic (factoring, square root, or quadratic formula)2.Graph the function placing the x-intercepts (solutions) onto the graph and drawing the parabola opening up (+LC) or down (-LC)

3.

Determine the inequality solution:If the quadratic is or , the solution is the interval of x where the parabola is above the x-axis.

a.

If the quadratic is or , the solutions is the interval of x where the parabola is below the x-axis.

b.

4.

You can show your final solutions with the graph and shading as well as by writing the final solution(s) as inequalities or in interval notation

○

https://gizmos.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=149

Ch4 Page 8

Ch4 Page 9

Ch4 Page 10

Solving linear inequalities

There are different ways of representing a solution:

a) interval notation

b) on a number line

How do you check to see if the given number is a solutions or not

= check by substitution and determine if the inequality is true or

false.

Representing solutions of inequalities on a number line:

4.9 Solving Linear & Quadratic Inequalities Algebraically

Ch4 Page 11

Applications and Problem Solving

Ch4 Page 12

B) Solve a quadratic inequality on a number line:Move all terms to one side and make the inequality equal zero1.Solve the quadratic (factoring, square root, or quadratic formula)2.Place the solutions on a number line to create areas3.Test a point inside each area and wherever the inequality is true, that is the interval solution

You can write the final solutions in set-builder notation or interval notation○

4.

Ch4 Page 13

Ch4 Page 14

Ch4 Page 15