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Course Contents

Course Name: Algebra 1


  • 1. The Basics
  •  1.1 Understanding Numbers
  •  1.1.1 Whole Numbers
  •  1.1.2 Positive and Negative Numbers
  •  1.1.3 Integers
  •  1.1.4 Decimals
  •  1.1.5 Real Numbers
  •  1.1.6 Prime Numbers
  •  1.1.7 Rational & Irrational Numbers
  •  1.1.8 Percents
  •  1.2 Fractions
  •  1.2.1 Defining Fractions
  •  1.2.2 Reducing Fractions
  •  1.2.3 Adding Fractions
  •  1.2.4 Adding Fractions and whole numbers
  •  1.2.5 Multiplying fractions
  •  1.2.6 Multiplying fractions and whole numbers
  •  1.2.7 Subtracting Fractions
  •  1.2.8 Subtracting Fractions and whole numbers
  •  1.2.9 Dividing Fractions
  •  1.2.10 Dividing Fractions and whole numbers
  •  1.2.11 Mixed Fractions Operations
  •  1.3 Basic Real Number Operations
  •  1.3.1 Number Comparisons
  •  1.3.2 Properties of Real Numbers
  •  1.3.3 Additions
  •  1.3.4 Subtractions
  •  1.3.5 Multiplication
  •  1.3.6 Division
  •  1.3.7 Order of Operation
  •  1.3.8 Mixed Operations
  •  1.4 Exponents
  •  1.4.1 Understanding Exponents
  •  1.4.2 Multiplying Exponents with the Same Base
  •  1.4.3 Multiplying Fractional Exponents with the Same Base
  •  1.4.4 Multiplying Exponents Raised to an Exponent
  •  1.4.5 Expressions Raised to a Power
  •  1.4.6 Fractions Raised to a Power
  •  1.4.7 More Multiplying Exponents
  •  1.4.8 Negative Exponents
  •  1.4.9 Multiplying with Negative Exponents
  •  1.4.10 Dividing with Exponents
  •  1.5 Rates and Dimensional Analysis
  • 2. Introduction to Variables and Algebraic Expressions
  •  2.1 Defining Variable
  •  2.2 Basic Operations with Variable
  •  2.3 Fractions with Variables
  •  2.3.1 Additions and Subtractions
  •  2.3.2 Multiplications
  •  2.3.3 Divisions
  •  2.3.4 Mixed Operations with Variables
  •  2.4 Canceling with Variable
  •  2.5 Simplifying and Evaluating Expressions
  •  2.6 Exponents and Formulas
  •  2.7 Combining Like Terms
  •  2.8 Word Problems
  • 3. Solving Linear Equations
  •  3.1 Writing Equations
  •  3.2 Solving Equations by Using Addition and Subtraction
  •  3.3 Solving Equations by Using Multiplication and Division
  •  3.4 Solving Multi-step Equations
  •  3.5 Solving Equations with the variable on each side
  •  3.6 Ratios and Proportions
  •  3.7 Solving Equations and Formulas
  • 4. Graphing Relations and Functions
  •  4.1 The number line and the coordinate plane
  •  4.2 Transformations on the Coordinate Plane
  •  4.3 Relations
  •  4.4 Equations as Relations
  •  4.5 Graphing Linear Equations
  •  4.6 Functions
  •  4.7 Arithmetic Sequences
  •  4.8 Writing Equations from Patterns
  •  4.9 Interpreting a Graph Representing a Given Situation
  •  4.10 Sketching a Graph Representing a Given Situation
  • 5. Linear Equations
  •  5.1 Slope
  •  5.2 Slope-Intercept Form
  •  5.3 Writing equations in slope intercept form
  •  5.4 Writing Equations Using Point and Slope
  •  5.5 Writing equations in point-slope form
  •  5.6 Graphing Linear Equations Using Slope/Intercept Method
  •  5.7 Writing Parallel Equations
  •  5.8 Writing Perpendicular Equations
  • 6. Solving Linear Inequalities
  •  6.1 Introduction to Linear Inequalities
  •  6.2 Solving linear inequalities by addition and subtraction
  •  6.3 Solving linear inequalities by multiplication and division
  •  6.4 Solving Multi-step inequalities
  •  6.5 Solving Compound Inequalities
  •  6.6 Solving Open Sentences Involving Absolute Value
  •  6.7 Graphing Inequalities in Two Variables
  •  6.8 Solving Linear Inequalities Using Solutions Sets
  • 7. Solving Systems of Linear Equations and Inequalities
  •  7.1 Graphing Systems of Equations
  •  7.2 Substitution
  •  7.3 Elimination using Addition and Subtraction
  •  7.4 Elimination using Multiplication
  •  7.5 Graphing Systems of Inequalities
  • 8. Polynomials
  •  8.1 Monomials and Degree of Monomials
  •  8.2 Multiplying Monomials
  •  8.3 Dividing Monomials
  •  8.4 Polynomials and Degree of Polynomials
  •  8.5 Adding and Subtracting Polynomials
  •  8.6 Multiplying a polynomial by monomial
  •  8.7 Multiplying Polynomials
  •  8.8 Special Products of Polynomials
  •  8.9 Difference of Squares
  •  8.10 Monomial Roots and Powers
  •  8.11 Dividing a Polynomial by Monomial
  • 9. Factoring
  •  9.1 Factors and Greatest Common Factor
  •  9.2 Factoring Using the Distributive Property
  •  9.3 Factoring Trinomials: x^2 + bx + c
  •  9.4 Factoring Trinomials: ax^2 + bx + c
  •  9.5 Factoring Difference of squares
  •  9.6 Perfect Squares and Factoring
  •  9.7 Solving Quadratic Equations by factoring
  •  9.8 Simplifying Algebraic Ratios
  •  9.9 Solve Algebraic Proportions
  • 10. Quadratic Equations and Functions
  •  10.1 Solve quadratic equations by the square root method
  •  10.2 Solving Quadratic Equations by Completing the Square
  •  10.3 Solving Quadratic Equations by using the Quadratic Formula
  •  10.4 Graphing Quadratic Equations
  •  10.5 Solving Quadratic Equations by graphing
  •  10.6 The Discriminant
  •  10.7 The Sum and the Product of the Solutions
  •  10.8 Solving Quadratic Equations with Perfect Squares
  •  10.9 Solving Quadratic Equations That Contain Radical Expressions
  •  10.10 Word Problems Using Quadratic Formula
  • 11. Radical Expressions and Triangles
  •  11.1 Square Roots
  •  11.2 Simplifying Radical Expressionss
  •  11.3 Operations with Radical Expressions
  •  11.3.1 Adding and Subtracting Radical Expressions
  •  11.3.2 Multiplying Radical Expressions
  •  11.3.3 Dividing Radial Expressions
  •  11.4 Pythagorean Theorem
  •  11.5 The Distance Formula
  •  11.6 Similar Triangles
  •  11.7 Cube Roots
  •  11.8 Rational Exponents
  •  11.9 Comparing Real Number Expressions