Chapter 2 Equations & Inequalities

Algebra 2 NotesName:________________Date:_________________

Clearing Fractions/Decimals:

ex: - ex: 6.3x – 9.6 = 3

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)

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

Word Problems:Define- Write- SolveEx: Find 2 consecutive even integers such that 2 times the first plus 3 times the second is 76.

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?

Solving Formulas:1) P = 2l + 2w, for w

2) ax+b = x-c, for x

Inequalities

< or > open dot ≥ or ≤ solid dotex: solve and graph 3x - 1 ≤ 2x - 3

*Symbol flips when mult/div by a ____________

Compound Inequalities (2 kinds)• Conjunction “ and “ “intersection” “∩”

Ex 1: 4 ≥ -x + 3 > -6

Ex 2: 5𝑎≤2𝑎+3<10

Compound Inequalities (2 kinds)

• disjunction “or “ “union” “U”

• Ex: -2x + 4 < -3 or x + 5 < 3

Absolute Values- Simplifying Rules

= (b≠ 0) = if n is EVEN

Ex: 1. = 2. =

3. = 4. =

Ex 1:

Solve/graph: 1) Isolate 2) Separate 3) Solve

Ex 2: ≤ 7 Ex 3: > 7

Assignment

• Chapter 2 Review/102-103/1-33 odd