## Contents

# 1 Equations and Inequalities

## 1.1 Real Numbers and Number Operations

- A. Subsets of Real Numbers
- Whole, Integers, Rational, Irrational

- B. Properties of Real Numbers
- p5 chart

- A. Subsets of Real Numbers

## 1.2 Algebraic Expressions and Models

- A. Evaluating Algebraic Expressions
- Review Exponents
- Order of Operations
- Evaluate -

- B. Simplifying Algebraic Expressions
- Combine like terms... what are "Like Terms"?

- A. Evaluating Algebraic Expressions

## 1.3 Solving Linear Equations with 1 variable

## 1.4 Equations with more than 1 variable

- Equations vs Formulas

## 1.5 Problem solving Strategies

- Read the problem
- Make a prediction including units
- Take inventory - What do we know and what do we need to know?
- Choose an equation
- Solve for x
- Substitute
- Calculate and simplify units
- Verify - are those the units you expected? Does the answer make sense?

## 1.6 Inequalities

# 2 Linear Equations and Functions, part 1

## 2.1 Functions and Their Graphs

- Function -
- Function Notation -
- Ordered (Cartesian) Pair -
- Axes -
- Origin -
- Function -
- Vertical Line Test -

## 2.2 Slope and Rate of Change

- Slope -

## 2.3 Graphing Linear Equations

- y-intercept

- Equations for a line...
- Slope-Intercept Form -
- Standard Form -

## 2.4 Writing Equations of Lines

# 13 Trigonometric Ratios and Functions

- Intro to Trig Functions
- Radians vs Degrees
- pi -

# 2 Linear Equations and Functions, part 2

## 2.5 Best Fit Lines

- pi lab

## 2.7 Piecewise Functions

# 3 Systems of Equations

- Systems of Equations -
- Solution -

## 3.1 Solving Systems of Equations, Graphically

- Graph both equations carefully
- Name the Solution
- Check the solution by substituting it into BOTH equations

## 3.2 Solving Systems of Equations, Algebraically

- Substitution Method
- Combination (add or subtract) Method

# 5 Quadratic Functions

- Characteristics of Many graphs

## 5.1 Graphing Quadratic Functions

- Vertex -
- Axis of Symmetry -
- Characteristics of a Quadratic graph (p249)

- Equations for a Quadratic Function...
- Standard Form -
- Vertex Form -
- Intercept Form -

## 5.2 Solving Quadratic Equations by Factoring

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