# Algebra Notes   © 2005, 2008, 2010 A2

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Simplify:
-6 [ -3 - 2(5 - 3)]

Simplify:
3 + 3 · (5 - 7)2
Mostly Arithmetic Expressions
Order of Operations is the Grammar of Mathematics.
Operations Tutorial! & Word List
"Real World" Signed Numbers Representation & Computation
Signed Numbers & Computation Word List
Fake Quiz & Examples
Simplify or Evaluate an Expression on A Graphing Calculator

Simplify:
3(12 - x)  + 4

Simplify:
5x - 3x + 3y

Evaluate when x = 2, y = -1:
5x - 2y2
"A Number" Doesn't Mean "Any Old Number."
Know The Invisible (Understood) Ones.
WHAT DO YOU CALL A HUNGRY PARROT? vocabulary
Most Operations Are Not Distributive
Notes on the Distributive Property
Combine Like Terms
Evaluating Expressions
Organizing Evaluated Expressions As An Intro to Graphing

Write:
3(12 - x)  + 4

Write in symbols:
5 more than a number

Solve:
The product of a number and 3
is one less than the number.
Find the number.

Solve:
Tom can paint a room in 2 hours.
Dick takes 4 hours to paint the
same room. If they work together,
how long will it take to paint the room?
I: Intro in Math & English, One-Operation Expressions
II: More than One-Operation Expressions
Equation vs. Expression
The other number when the sum of two numbers is ...
"A Number" Doesn't Mean "Any Old Number."
Know The Invisible (Understood) Ones.
III: Using Code to Write Expressions & Equations
IV: Mixture, Money, Coffee Beans, Candy, & Solutions
VI: Work Problems

Write: #19 Less, More, and Opposite
#20
#21
#22
#23
#24

Solve:
x - 6 = -12

Solve:
3 + 2x= 4x - 1

Solve:
3x + 4(x -1) = 2
SOLUTIONS ARE NOT ALWAYS WET Word List
consecutive integer expressions, equations
Linear Equation Solver
Solve Linear Equations w/Undoing 1 Operation,
Solve Linear Equations w/Undoing 2 Operations,
Solve Linear Equations w/Undoing Many Operations,
Solve Linear Equations Graphically
Solutions to a Linear Equation
Solving Equation on Graphing Calculators
 Equation solving calculator   https://www.symbolab.com/solver/equation-calculator/

Solve:
x - 6 > -12

Graph:
x > -6

Algebraic inequalities & graphing on a number line
Graph paper

Solve:
x + 2y = 6
4x - 2y = 12
Point-Plotting Intro
Mentally &/or Graphically w/Appropriate Vocabulary & Possible Solutions
Solve Graphically w/Planes &Pencil (Includes Answers)
Solver (Using Web Page)
Solve Linear Systems Using Determinants and Cramer's Rule SPREADSHEET
By Substitution (Expression Swapping)
With Calculator (TI83 Using System)
Graph paper

Graph:
y = 3x + 4
A Graph Is A Portrait   graph papers
GRAPHITI Word List -- intro to coordinate geometry, point generation, functions
THAT'S MY LINE Word List
Point-Plot A Graph [Animation]
Slope in Sound & Pictures
WHAT'S A FUNCTION Word List - ordered pairs, relations, functions
Notes1
 Graphing Tool   https://goodcalculators.com/graphing-calculator/

EXPONENTS ARE NOT ON THE LEVEL
Word List
Computation Rules/Laws
Know The Invisible (Understood) Ones. Essay

Multiply:
(x +2)(x - 6)
SPECIAL PRODUCTS Word List -- multiplication and factoring
The Man With The Big Nose --
the layout for the four multiplications required in multiplying 2 binomials
Multiplying 2 Binomials -- "FOIL" (animation)

Factor:
x2 + 6x + 5
SPECIAL PRODUCTS Word List -- multiplication and factoring
Written Notes on Factoring
Factoring Trinomials (animation)
Factoring Trinomials with A Leading Coefficient that Is Not One (animation)
notes1

Simplify:

Fraction techniques
Create Equivalent Fractions
Reducing Fractions
Computational Tricks
Use Parenthises To Simiplify The Expression
Divide Fractions

Simplify:
x + 2 x
Essay: Celebrity Numbers
Essay: Imaginary Numbers Are Not Imaginary.

Solve:
x2+4x+4=0
Graph:
x2+4x+4=0
Use:
s(t) = (a/2)t2 + v0t + s0

Word List
Notes1
Essay: Celebrity Numbers

Simplify:
log4(4) - log4( 4)
HOW TO APPRECIATE LOGS WITHOUT FEELING OUT ON A LIMB Word List
Essay: Celebrity Numbers
Log Rules/Laws

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Calculator Use
Calculator Word List
Calculator Lesson Pages

## Mostly Algebra RESOURCES

• 210 - Arithmetic & Algebraic Operations with Exponents
• 230 - GRAPHITI - coordinate geometry, point generation, distance, functions
• 240 - Lines & Slope
• 260 - Angles
• 300 - Functions
• 320 - Quadratic Equations, Formula, & The Discriminant
• 330 - Trig Functions
• 340 - How To Appreciate Logs without Feeling Out on A Limb
• 400 - Varieties, Features and Uses of Calculators

## Mostly Algebra VOCABULARY

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