Download - Chapter 2 Equations & Inequalities Algebra 2 Notes Name:________________ Date:_________________
![Page 1: Chapter 2 Equations & Inequalities Algebra 2 Notes Name:________________ Date:_________________](https://reader036.vdocuments.site/reader036/viewer/2022081503/5697c0031a28abf838cc3753/html5/thumbnails/1.jpg)
Chapter 2 Equations & Inequalities
Algebra 2 NotesName:________________Date:_________________
![Page 2: Chapter 2 Equations & Inequalities Algebra 2 Notes Name:________________ Date:_________________](https://reader036.vdocuments.site/reader036/viewer/2022081503/5697c0031a28abf838cc3753/html5/thumbnails/2.jpg)
Clearing Fractions/Decimals:
ex: - ex: 6.3x – 9.6 = 3
![Page 3: Chapter 2 Equations & Inequalities Algebra 2 Notes Name:________________ Date:_________________](https://reader036.vdocuments.site/reader036/viewer/2022081503/5697c0031a28abf838cc3753/html5/thumbnails/3.jpg)
Equations with ( )Ex 1: 3(y-1) – 1 = 2 – 5(y+5)
Ex 2: 2(x+5)= 2(x-6)
Ex 3: 2(3x+6)=3(2x+4)
![Page 4: Chapter 2 Equations & Inequalities Algebra 2 Notes Name:________________ Date:_________________](https://reader036.vdocuments.site/reader036/viewer/2022081503/5697c0031a28abf838cc3753/html5/thumbnails/4.jpg)
Principle of Zero Products• If ab = 0, then a or b or both and and b must
be = to 0.
Ex: (-3x+9)(2x -3) = 0
![Page 5: Chapter 2 Equations & Inequalities Algebra 2 Notes Name:________________ Date:_________________](https://reader036.vdocuments.site/reader036/viewer/2022081503/5697c0031a28abf838cc3753/html5/thumbnails/5.jpg)
Word Problems:Define- Write- SolveEx: Find 2 consecutive even integers such that 2 times the first plus 3 times the second is 76.
![Page 6: Chapter 2 Equations & Inequalities Algebra 2 Notes Name:________________ Date:_________________](https://reader036.vdocuments.site/reader036/viewer/2022081503/5697c0031a28abf838cc3753/html5/thumbnails/6.jpg)
Word Problems (Inequalities):Ex: You are taking a history course with Mr. Jarrett. There will be 4 tests this quarter. You have 89,92 and 95. You must earn at least a 90 to get an A. What can your last score be?
![Page 7: Chapter 2 Equations & Inequalities Algebra 2 Notes Name:________________ Date:_________________](https://reader036.vdocuments.site/reader036/viewer/2022081503/5697c0031a28abf838cc3753/html5/thumbnails/7.jpg)
Solving Formulas:1) P = 2l + 2w, for w
2) ax+b = x-c, for x
![Page 8: Chapter 2 Equations & Inequalities Algebra 2 Notes Name:________________ Date:_________________](https://reader036.vdocuments.site/reader036/viewer/2022081503/5697c0031a28abf838cc3753/html5/thumbnails/8.jpg)
Inequalities
< or > open dot ≥ or ≤ solid dotex: solve and graph 3x - 1 ≤ 2x - 3
*Symbol flips when mult/div by a ____________
![Page 9: Chapter 2 Equations & Inequalities Algebra 2 Notes Name:________________ Date:_________________](https://reader036.vdocuments.site/reader036/viewer/2022081503/5697c0031a28abf838cc3753/html5/thumbnails/9.jpg)
Compound Inequalities (2 kinds)• Conjunction “ and “ “intersection” “∩”
Ex 1: 4 ≥ -x + 3 > -6
![Page 10: Chapter 2 Equations & Inequalities Algebra 2 Notes Name:________________ Date:_________________](https://reader036.vdocuments.site/reader036/viewer/2022081503/5697c0031a28abf838cc3753/html5/thumbnails/10.jpg)
Ex 2: 5𝑎≤2𝑎+3<10
![Page 11: Chapter 2 Equations & Inequalities Algebra 2 Notes Name:________________ Date:_________________](https://reader036.vdocuments.site/reader036/viewer/2022081503/5697c0031a28abf838cc3753/html5/thumbnails/11.jpg)
Compound Inequalities (2 kinds)
• disjunction “or “ “union” “U”
• Ex: -2x + 4 < -3 or x + 5 < 3
![Page 12: Chapter 2 Equations & Inequalities Algebra 2 Notes Name:________________ Date:_________________](https://reader036.vdocuments.site/reader036/viewer/2022081503/5697c0031a28abf838cc3753/html5/thumbnails/12.jpg)
Absolute Values- Simplifying Rules
= (b≠ 0) = if n is EVEN
Ex: 1. = 2. =
3. = 4. =
![Page 13: Chapter 2 Equations & Inequalities Algebra 2 Notes Name:________________ Date:_________________](https://reader036.vdocuments.site/reader036/viewer/2022081503/5697c0031a28abf838cc3753/html5/thumbnails/13.jpg)
![Page 14: Chapter 2 Equations & Inequalities Algebra 2 Notes Name:________________ Date:_________________](https://reader036.vdocuments.site/reader036/viewer/2022081503/5697c0031a28abf838cc3753/html5/thumbnails/14.jpg)
Ex 1:
Solve/graph: 1) Isolate 2) Separate 3) Solve
![Page 15: Chapter 2 Equations & Inequalities Algebra 2 Notes Name:________________ Date:_________________](https://reader036.vdocuments.site/reader036/viewer/2022081503/5697c0031a28abf838cc3753/html5/thumbnails/15.jpg)
Ex 2: ≤ 7 Ex 3: > 7
![Page 16: Chapter 2 Equations & Inequalities Algebra 2 Notes Name:________________ Date:_________________](https://reader036.vdocuments.site/reader036/viewer/2022081503/5697c0031a28abf838cc3753/html5/thumbnails/16.jpg)
Assignment
• Chapter 2 Review/102-103/1-33 odd
![Page 17: Chapter 2 Equations & Inequalities Algebra 2 Notes Name:________________ Date:_________________](https://reader036.vdocuments.site/reader036/viewer/2022081503/5697c0031a28abf838cc3753/html5/thumbnails/17.jpg)