Basic Algebra or Algebra I

Pre-Algebra Review

• 1.1 Introduction

  Whole Numbers
  Place Value & Word Names
  Expanded Form
  Rounding & Inequalities
  Addition & Subtraction of Whole Numbers
  
  Whole Numbers
  Multiplication & Division
  Exponents & Powers of Ten
  Order of Operations: Problems with Two or More Operations

• 1.2 Factors & Fractions

  Factors
  Average
  Multiples
  Divisors & Factors
  Divisibility Tests
  
  Factors & Fractions
  Primes & Composites
  Prime Factorization
  Least Common Multiple
  Fractions & Mixed Numbers: What is a Fraction?
  
  Fractions
  Improper Fractions to Mixed Numbers & vice versa
  Reducing Fractions
  Multiplication of Fractions
  
  Fractions
  Division of Fractions
  Multiplication & Division of Mixed Numbers
  Listing Fractions in Order of Value
  
  Fractions
  Addition of Like & Unlike Fractions
  Addition & Subtraction of Mixed Numbers
  
  Fractions
  Subtraction of Fractions
  Order of Operations & Average

• 1.3 Decimals

  Decimal Numbers
  Place Value & Word Names
  Expanded Form
  Decimals to Fractions
  Listing Decimals in Order of Value
  
  Decimals
  Approximation of Decimals
  Addition & Subtraction of Decimals
  Multiplication of Decimals
  
  Decimals
  Multiplication & Division by Powers of Ten
  Division of Decimals
  Fractions to Decimals & vice versa
  Order of Operations & Average

• 1.4 Ratio, Proportions & Percents

  Ratio & Proportion
  Solve Proportions
  Word Problems (Proportions)
  
  Percents
  What is Percent?
  Changing Decimals to Percents & vice versa
  Fractions to Percents & vice versa
  
  Percents
  Fractions, Decimals, & Percents Review
  Solve Percent Problems
  Word Problems (Percents)
  Business Related Problems

• 1.5 Measurements

  Measurements
  English Measurements
  Metric Measurements
  Conversion of Units

• 1.6 Geometry

  Geometry
  Perimeter & Circumference
  Area of Common Geometric Figures
  Volume of Common Geometric Solids

• 1.7 Signed Numbers

  Signed Numbers
  Addition & Subtraction of Signed Numbers
  
  Multiplication & Division of Signed Numbers Review
  Order of Operations

Basic Algebra

Solving Equations

• 2.1 Introduction to Solving Equations

  Define Variables Additive & Multiplicative Inverses
  
  Simplify Expressions & the Distributive Property
  
  Simplify Expressions & Combine Like Terms

• 2.2 Techniques for Solving Equations

  Solve 1-Step Equations: Whole Numbers
  Solve 1-Step Equations: Integers
  
  Solve 1-Step Equations: Fractions
  Solve 1-Step Equations: Decimals
  
  Solve 2-Step Equations: Integers
  Solve 2-Step Equations: Fractions
  
  Solve 2-Step Equations: Decimals
  Solve Multi-Step Equations with Parentheses & Variable Terms on both sides
  
  Solve Multi-Step Equations with Fractions
  Solve Multi-Step Equations with Decimals

• 2.3 Ratios, Formulas & Word Problems

  Ratios
  Proportions
  
  Solve Literal Equations
  Percent Change

Linear Equations & their Graphs

• 3.1 The Slope of a Line

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

• 3.2 Linear Equations

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

• 3.3 Graph Linear Equations

  Graph Linear Equations
  Intercepts of Linear Equations
  Graph 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

  Graphing Lines
  Find the Equation of a Graphed Line
  Parallel & Perpendicular Lines

• 3.5 Variation

  Variation
  Direct Variation
  Inverse Variation

• 4. Solve & Graph Inequalities

  Linear Inequalities
  Solve & Graph Inequalities using Addition or Subtraction
  Solve & Graph Inequalities using Multiplication or Division
  
  Solve & Graph Multistep Inequalities
  Solve & Graph Compound Inequalities
  Graph Inequalities with Two Variables

• 5. Absolute Value

  Absolute Value
  Definition 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 & Functions

  Plotting Points & Naming Quadrants Interpreting Graphs
  
  Relations
  Relations & Determining Whether a Relation is a Function
  Function Notation
  
  Graphs
  Connecting Graphs, Tables, & Equations
  Write an Equation to Describe a Table
  Write an Equation to Describe Pictures
  Domain & Range

• 7. Solve Systems of Equations & Inequalities

  Systems of Equations
  Introduction to Systems of Equations
  Solve Systems of Equations by Graphing
  Solve Systems of Equations by Substitution
  Solve Systems of Equations by Elimination
  
  Systems of Equations & Inequalities
  Inconsistent and Dependent Systems of Equations
  Solve Systems using Matrices
  Systems of Inequalities

• 8. Word Problems using Systems of Equations

  Word Problems
  Mixture Problems
  Rate Word Problems
  Work Word Problems
  Money Word Problems
  
  Word Problems
  Age Word Problems
  Sum of Digits
  Percent Concentration
  Selling Multiple Items

• 9. Exponents

  Exponents
  Introduction to Exponents
  Rules of Exponents
  Multiplication & Division Properties of Exponents
  Zero & Negative Exponents
  Scientific Notation
  Simplify Expressions with Exponents

• 10. Polynomials

  Polynomials
  Polynomial Vocabulary
  Add & Subtract Polynomials
  
  Multiply Polynomials
  Multiply Monomials and/or Binomials and FOIL
  Multiply Polynomials using Area Models
  Multiply Larger Degree Polynomials using Distributing
  Multiply Polynomials: Special Cases
  
  Divide Polynomials
  Divide a Polynomial by a Monomial
  Divide a Polynomial by a Binomial using Long Division

• 11. Factoring Polynomials

  Factoring Trinomials
  Greatest 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

Quadratic Equations & Functions

• 12.1 Graphs of Quadratics

  Graphs of Quadratics
  Exploring Quadratic Graphs
  Graph Quadratic Equations
  Vertical & Horizontal Shifts of Quadratic Graphs
  Dilations of Quadratic Graphs

• 12.2 Solve Quadratic Equations

  Solve Quadratic Equations
  Vocabulary of Quadratic
  Solve Quadratic Equations by Factoring
  Solve Quadratic Equations using Square Roots
  Completing the Square

• 12.3 Solve with the Quadratic Formula

  Use Quadratic Formula
  The Quadratic Formula
  The Discriminant

• 12.4 Applications of Quadratic Equations

  Applications of Quadratic Equations
  The Vertex & Axis of Symmetry
  Applications of Quadratic Equations

• 13. Radical Expressions & Equations

  Radical Expressions
  Simplify Radical Expressions
  Add & Subtract Radical Expressions
  Multiply & Distribute Radical Expressions
  Dividing Radicals & Rationalizing the Denominator
  
  Radical Equations
  Solve Radical Equations
  Graph Radical Equations using a Table
  Graph Radical Equations using Shifts
  Estimating Square Roots
  Cube Roots

• 14. Rational Expressions & Functions

  Rational Functions
  Introduction to Rational Functions
  Simplify Rational Functions with Factoring & GCFs
  
  Rational Expressions
  Multiply & Divide Rationals
  Add & Subtract Rational Expressions
  Solve Rational Equations with Like Denominators
  Solve Rational Equations with Unlike Denominators

• 15. Introduction to Statistics

  Statistics
  Mean
  Median
  Mode
  Range
  Probability
  Scatterplots & Correlations

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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