 # Basic Algebra or Algebra I

Related Topics:
Videos, worksheets, and activities to help Algebra students, Common Core Math Algebra
Need help in Basic Algebra or Algebra I?
We have a series of free Basic Algebra or Algebra I Video Lessons.
The pre-algebra review is from the Portland Community College.

### 1. Pre-Algebra Review

1.1 Introduction
 Whole NumbersPlace Value and Word Names Expanded Form Rounding and Inequalities Addition and Subtraction of Whole Numbers Whole NumbersMultiplication and Division Exponents and Powers of Ten Order of Operations: Problems with Two or More Operations
1.2 Factors and Fractions
 FactorsAverage Multiples Divisors and Factors Divisibility Tests Factors & FractionsPrimes and Composites Prime Factorization Least Common Multiple Fractions and Mixed Numbers: What is a Fraction? FractionsImproper Fractions to Mixed Numbers and vice versa Reducing Fractions Multiplication of Fractions FractionsDivision of Fractions Multiplication and Division of Mixed Numbers Listing Fractions in Order of Value FractionsAddition of Like and Unlike Fractions Addition and Subtraction of Mixed Numbers FractionsSubtraction of Fractions Order of Operations and Average
1.3 Decimals
 Decimal Numbers: Place Value and Word Names Expanded Form Decimals to Fractions Listing Decimals in Order of Value DecimalsApproximation of Decimals Addition and Subtraction of Decimals Multiplication of Decimals DecimalsMultiplication and Division by Powers of Ten Division of Decimals Fractions to Decimals and vice versa Order of Operations and Average

1.4 Ratio, Proportions and Percents
 Ratio and Proportion Solving Proportions Word Problems (Proportions) PercentsWhat is Percent? Changing Decimals to Percents and vice versa Fractions to Percents and vice versa PercentsFractions, Decimals, and Percents Review Solving Percent Problems Word Problems (Percents) Business Related Problems
1.5 Measurements

English Measurements
Metric Measurements
Conversion of Units

1.6 Geometry

Perimeter and Circumference
Area of Common Geometric Figures
Volume of Common Geometric Solids

1.7 Signed Numbers
 Signed Numbers Addition and Subtraction of Signed Numbers Multiplication and Division of Signed Numbers ReviewOrder of Operations

### Basic Algebra

#### 2. Solving Equations

2.1 Introduction to Solving Equations
 Defining Variables Additive and Multiplicative Inverses Simplifying Expressions and the Distributive Property Simplifying Expressions and Combining Like Terms
2.2 Techniques for Solving Equations
 Solving One Step Equations Whole Numbers Solving One Step Equations Integers Solving One Step EquationsFractions Solving One Step Equations Decimals Solving Two Step Equations Integers Solving Two Step Equations Fractions Solving Two Step Equations Decimals Solving Multi-Step Equations with Parentheses and Variable Terms on both sides Solving Multi-Step Equations with Fractions Solving Multi-Step Equations with Decimals
2.3 Ratios, Formulas and Word Problems
 Ratios Proportions Solving Literal Equations Percent Change

#### 3. Linear Equations and their Graphs

3.1 The Slope of a Line

Definition of Slope
Finding the Slope of a Line from a Graph
Finding the Slope of a Line from 2 Points
Finding the Slope of a Line from an Equation

3.2 Linear Equations

Writing Equations in Slope-Intercept Form
Graphing Lines using a Table of Values
Applications of Linear Equations
Standard Form of a Linear Equation

3.3 Graphing Linear Equations

Intercepts of Linear Equations
Graphing Lines Using Intercepts
How to Graph a Line using slope-intercept form, y=mx+b
Point-Slope Form of Linear Equations

3.4 Graphing Lines

Finding the Equation of a Graphed Line
Parallel and Perpendicular Lines

3.5 Variation

Direct Variation
Inverse Variation

#### 4. Solving and Graphing Inequalities

 Linear Inequalities Solving and Graphing Inequalities using Addition or Subtraction Solving and Graphing Inequalities using Multiplication or Division Solving and Graphing Multistep Inequalities Solving and Graphing Compound Inequalities Graphing Inequalities with Two Variables
5. Absolute Value
 Absolute ValueDefinition of Absolute Value Absolute Value Equations Applications of Absolute Value Absolute Value Calculator Absolute Value Inequalities Absolute Value Inequality Graphs in Two Variables Shifts in Absolute Value Graphs
6. Graphs and Functions
 Plotting Points and Naming Quadrants Interpreting Graphs RelationsRelations and Determining Whether a Relation is a Function Function Notation GraphsConnecting Graphs, Tables, and Equations Writing an Equation to Describe a Table Writing an Equation to Describe Pictures Domain and Range
7. Solving Systems of Equations and Inequalities
 Systems of EquationsIntroduction to Systems of Equations Solving Systems of Equations by Graphing Solving Systems of Equations by Substitution Solving Systems of Equations by Elimination Systems of Equations & InequatlitiesInconsistent and Dependent Systems of Equations Solving Systems using Matrices Systems of Inequalities
8. Word Problems using Systems of Equations

9. Exponents

Introduction to Exponents
Rules of Exponents
Multiplication and Division Properties of Exponents
Zero and Negative Exponents
Scientific Notation
Simplifying Expressions with Exponents

10. Polynomials
 PolynomialsPolynomial Vocabulary Adding and Subtracting Polynomials Multiply PolynomialsMultiplying Monomials and/or Binomials and FOIL Multiplying Polynomials using Area Models Multiplying Larger Degree Polynomials using Distributing Multiplying Polynomials: Special Cases Divide PolynomialsDividing a Polynomial by a Monomial Dividing a Polynomial by a Binomial using Long Division
11. Factoring Polynomials
 Factoring TrinomialsGreatest Common Factors Difference of Perfect Squares Factoring Trinomials, a = 1 Factoring Trinomials with "a" Not Equal to One Factoring Special Cases Perfect Square Trinomials Factoring Trinomials by Grouping

Vertical and Horizontal Shifts of Quadratic Graphs

Solving Quadratic Equations using Square Roots
Completing the Square

12.3 Solving with the Quadratic Formula

The Discriminant

The Vertex and Axis of Symmetry

14. Rational Expressions and Functions
 Rational FunctionsIntroduction to Rational Functions Simplifying Rational Functions with Factoring and GCFs Rational ExpressionsMultiplying and Dividing Rationals Adding and Subtracting Rational Expressions Solving Rational Equations with Like Denominators Solving Rational Equations with Unlike Denominators
15. Introduction to Statistics

Mean
Median
Mode
Range
Probability
Scatterplots and Correlations

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