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Course Contents

Course Name: Pre-Algebra


  • 1. Numbers Review
  •  1.1 Whole Numbers
  •  1.2 Positive and Negative Numbers
  •  1.3 Integers
  •  1.4 Decimals
  •  1.5 Real Numbers
  •  1.6 Prime Numbers
  •  1.7 Rational & Irrational Numbers
  •  1.8 Percents
  • 2. Fractions and Operations with Fractions
  •  2.1 Understanding Fractions
  •  2.2 Equivalent Fractions
  •  2.3 The Greatest Common Factor
  •  2.4 The Least Common Multiple
  •  2.5 The Least Common Denominator
  •  2.6 Reducing Fractions
  •  2.7 Adding Fractions
  •  2.8 Adding a Fraction and a Whole Number
  •  2.9 Multiplying Fractions
  •  2.10 Multiplying a Fraction and a Whole Number
  •  2.11 Subtracting Fractions
  •  2.12 Subtracting a Fraction and a Whole Number
  •  2.13 Dividing Fractions
  •  2.14 Dividing a Fraction and a Whole Number
  • 3. Real Numbers and Operations with Real Numbers
  •  3.1 Real Numbers
  •  3.2 The Number Line
  •  3.3 Number Comparisons using the Number Line
  •  3.4 Properties of Real Numbers
  •  3.5 Addition with Real Numbers
  •  3.6 Subtraction with Real Numbers
  •  3.7 Multiplication with Real Numbers
  •  3.8 Division with Real Numbers
  •  3.9 Order of Operations
  •  3.10 Mixed Operations
  • 4. Powers and Roots
  •  4.1 Square
  •  4.2 Cube
  •  4.3 Power of 4 and Higher
  •  4.4 Square Roots
  •  4.5 Cube Roots
  • 5. Exponents
  •  5.1 Understanding Exponents
  •  5.2 Multiplying Exponents with the Same Base
  •  5.3 Multiplying Fractional Exponents with the Same Base
  •  5.4 Multiplying Exponents Raised to an Exponent
  •  5.5 Expressions Raised to a Power
  •  5.6 Fractions Raised to a Power
  •  5.7 More about Multiplying Exponents
  •  5.8 Negative Exponents
  •  5.9 Multiplying with Negative Exponents
  •  5.10 Dividing with Exponents
  • 6. Variables and Operations with the Variables
  •  6.1 The Variables
  •  6.2 Combining Like Terms
  •  6.3 Canceling with Variables
  •  6.4 Basic Operations with Variable
  •  6.4.1 Addition with Variables
  •  6.4.2 Subtraction with Variables
  •  6.4.3 Multiplication with Variables
  •  6.4.4 Division with Variables
  • 7. Expressions, Equations and Formulas
  •  7.1 Expressions and Equations
  •  7.2 Writing Expressions and Equations
  •  7.3 Formulas and Problem Solving Using Formulas
  •  7.4 Comparing Real Number Expressions
  •  7.5 Simplifying and Evaluating Expressions
  •  7.6 Simplifying Radical Expressions
  •  7.7 Word Problems
  • 8. The Coordinate Plane and Graphs
  •  8.1 The Coordinate Plane
  •  8.2 Graphing Points in the Coordinate Plane
  •  8.3 Graphing Linear Relations
  •  8.4 The t-Table
  •  8.5 Making Predictions from Linear Patterns
  • 9. Linear Equations
  •  9.1 Introduction to Linear Equations
  •  9.2 Linear Equations with One Variable
  •  9.3 Writing and Solving One Step Linear Equations
  •  9.4 More about Solving One Step Linear Equations
  • 10. Linear Equations and Slope
  •  10.1 Slope of a Linear Equation
  •  10.2 Slope-Intercept Form
  •  10.3 Writing Equations in a Slope-Intercept Form
  •  10.4 Writing Equations using a Point and a Slope
  •  10.5 Parallel Lines
  • 11. Quadratic Equations and Parabola
  •  11.1 Quadratic Equations
  •  11.2 Graphing Quadratic Equations
  •  11.3 Introduction to Parabola
  •  11.4 Identifying Equations with Graph that is Parabola
  •  11.5 Identifying Non-linear Equations
  • 12. Linear Inequalities
  •  12.1 Linear Inequalities
  •  12.2 Writing and Solving Linear Inequalities
  •  12.3 Solving linear inequalities by addition and subtraction
  •  12.4 Solving linear inequalities by multiplication and division
  •  12.5 Solving Multi-step inequalities
  • 13. Monomials and Polynomials
  •  13.1 Monomials and Degree of Monomials
  •  13.2 Multiplying Monomials
  •  13.3 Polynomials and Degree of Polynomials
  •  13.4 Adding and Subtracting Polynomials
  •  13.5 Multiplying a Polynomial by a Monomial
  •  13.6 Multiplying Polynomials
  •  13.7 Special Products of Polynomials
  • 14. Factoring
  •  14.1 Factors and the Greatest Common Factor
  •  14.2 Factoring Using the Distributive Property
  •  14.3 Factoring Trinomials: x2 + bx + c
  •  14.4 Factoring Trinomials: ax2 + bx + c
  •  14.5 Factoring Difference of squares
  •  14.6 Simplifying Algebraic Ratios
  •  14.7 Solving Algebraic Proportions
  • 15. Pythogorean Theorem and Triangles
  •  15.1 Triangles and Properties of Triangles
  •  15.2 Pythagorean Theorem
  •  15.3 The Distance Formula
  • 16. Introduction to Trigonometric Functions
  •  16.1 Trigonometric Functions
  •  16.2 Reciprocal Functions
  •  16.3 Degrees and Radian Measures
  •  16.4 Finding Trigonometric Values
  •  16.5 Coordinate Plane and Trigonometric Functions
  •  16.6 Trigonometric Identity and Pythagorean Theorem