Must Know High School Algebra

Dedication
Author’s Note
Contents
Introduction
The Flashcard App
1 Putting Numbers Together and Taking Them Apart
The Order of Operations
Variables and Expressions
Bases and Exponents
Evaluating Algebraic Expressions
Solving Two-Step Linear Equations
2 Relations and Functions
Cartesian Coordinate Plane
Relations
Functions
Function Notation
3 Linear Equations
Solving Multistep Linear Equations
Solving Linear Equations with Variables on Each Side of the Equation
Literal Equations
Writing Equations
Ratios and Proportions
Percent of Change
Weighted Averages
Two-Way Tables
4 Equations of Linear Functions
Rate of Change and Slope
Graphing Equations in Slope-Intercept Form
Writing Equations in Slope-Intercept Form
Writing Equations in Point-Slope Form
Writing Equations in Standard Form
Graphing Equations in Standard Form
Parallel and Perpendicular Lines
Inverse Linear Functions
5 Applications of Linear Functions
Word Problems: Coins, Geometry, and Motion
Coin Problems
Geometry Problems
Motion Problems
Direct Variation
Sequences
Arithmetic Sequences as Linear Functions
Arithmetic Series
Absolute Value
6 Linear Inequalities
Solving Inequalities with the Four Operations
Solving Multistep Inequalities
Solving Compound Inequalities
Inequalities Involving Absolute Value
Graphing Inequalities in Two Variables
7 Systems of Linear Equations and Inequalities
Graphing Systems of Equations
Algebraic Solutions
Substitution
Elimination Using Addition and Subtraction
Solution Using Matrices
Applying Systems of Linear Equations
Currency
Motion
Mixture
Systems of Inequalities
8 Exponents and Exponential Functions
Multiplication Properties of Exponents
Division Properties of Exponents
Rational Exponents
Scientific Notation
Exponential Functions
Growth and Decay
Geometric Sequences as Exponential Functions
Recursive Formulas
9 Quadratic Expressions and Equations
Adding and Subtracting Polynomials
Multiplying a Polynomial by a Monomial
Multiplying Polynomials
Multiplying Binomials
Multiplying Polynomials
Special Products
Differences of Squares
Perfect Squares
Factoring Polynomials
First Step: Always look for a common factor.
Second Step: Is the polynomial one of the special polynomials?
Trial and Error: Part 1
Trial and Error: Part 2
Solving x2 + bx + c = 0
10 Quadratic Functions and Equations
Completing the Square
Graphing Quadratic Functions
The Standard Form of the Parabola
The Vertex Form of the Parabola
Solving Quadratic Equations by Graphing
Transformations of Quadratic Functions
Solving Quadratic Equations by Using the Quadratic Formula
Special Functions
11 Rational Expressions and Equations
Inverse Variation
Rational Functions
Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Adding and Subtracting Rational Expressions
Mixed Expressions and Complex Fractions
Rational Equations
Dividing Polynomials
12 Radical Functions and Geometry
Simplifying Radical Expressions
Operations with Radical Expressions
Radical Equations
The Pythagorean Theorem
Trigonometric Ratios
13 Probability and Statistics
Statistics and Parameters
Measures of Central Tendency
Distributions of Data
Scatter Plots and Lines of Fit
Answer Key