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Beginning Algebra

Beginning Algebra

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  • Real Numbers
    • Fractions
    • Introduction to Algebra and Real Numbers
    • Exponents, Square Roots, and the Order of Operations
    • Addition of Real Numbers
    • Subtraction of Real Numbers
    • Multiplication and Division of Real Numbers
    • Properties of Real Numbers and Simplifying Expressions
  • Linear Equations and Inequalities
    • Addition, Subtraction, Multiplication, and Division Properties of Equality
    • Solving Linear Equations
    • Linear Equations: Clearing Fractions and Decimals
    • Applications of Linear Equations: Introduction to Problem Solving
    • Applications Involving Percents
    • Formulas and Applications of Geometry
    • Mixture Applications and Uniform Motion
    • Linear Inequalities in One Variable
  • Graphing Linear Equations in Two Variables
    • Rectangular Coordinate System
    • Linear Equations in Two Variables
    • Slope of a Line and Rate of Change
    • Slope-Intercept Form of a Linear Equation
    • Point-Slope Formula
    • Linear Inequalities in Two Variables
    • Applications of Linear Equations and Modeling
  • Polynomials and Properties of Exponents
    • Multiplying and Dividing Expressions with Common Bases
    • More Properties of Exponents
    • Definitions of b^(0) and b^(-n)
    • Scientific Notation
    • Addition and Subtraction of Polynomials
    • Multiplication of Polynomials and Special Products
  • Systems of Linear Equations
  • Factoring Polynomials
    • Greatest Common Factor and Factoring by Grouping
    • Factoring Trinomials of the Form x^2 + bx + c
    • Factoring Trinomials: AC-Method
    • Difference of Squares and Perfect Square Trinomials
    • Solving Equations Using the Zero Product Rule
  • Variation
    • Variation
  • Radicals
    • Definition of an nth Root
    • Rational Exponents
    • Simplifying Radical Expressions

Addition and Subtraction of Polynomials

The parts of polynomial expressions:

Adding and subtracting polynomials:

Characterizing polynomials, including finding their degree and leading coefficient:

Khan Academy on Polynomials

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