Algebra I


Fundamentals

Addition and Subtraction
Integers, Decimals, and Fractions
Intro to Polynomials
Multiples and Least Common Multiple (LCM)
Multiplication and Division
Order of Operations
Real Numbers and the Number Line
Scientific Notation

Algebra Basics

Addition and Subtraction with Exponents
Distributive Property
Exponents and Roots
Improper Fractions and Mixed Numbers
Multiplying Terms Using the Foil Method
Polynomials
Variables
Writing Algebraic Expressions for Picture Problems

Linear Equations

Graphing Absolute Value Equations
Graphing Linear Equations
Linear Equations
Linear Inequalities
Parallel and Perpendicular Lines
Proportional and Non-Proportional Relationships
Slope-Intercept and Point-Slope Forms

Ratios and Percentages

Change Expressed as a Percentage
Equivalent Ratios
Percent Increase vs. Percent of Whole
Ratios and Percentages

Inequalities

Equations and Inequalities
Solving Absolute Value Inequalities
Solving Inequalities Using All 4 Basic Operations

Quadratics

Deriving the Quadratic Formula
Factoring Quadratic Equations
Using the Quadratic Formula

Functions

Basics of Functions
Dependent and Independent Variables and Inverting Functions
Simplifying Rational Polynomial Functions

Systems of Equations and Their Solutions

Comparison of Methods for Solving Systems
Substitution and Elimination for Solving Linear Systems
Systems of Equations
The Elimination Method
The Matrix Method
The Substitution Method

Applications

Biology Application – Exponential Growth Function
Finance Application – Interest Functions
Geometry Application – Similar Triangles
Physics Application – Rate of Change Function
Using Time as a Variable

Miscellaneous

Absolute Value
Logarithms
Logarithms Addendum – Natural Log
Mathematical Parentheses


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Provided by: Mometrix Test Preparation

Last updated: 11/17/2017
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