MTH 131 - Algebra and Trigonometry

Choose Topic:

• Commutative Law of Addition
• Commutative Law of Multiplication
• Associative Law of Addition
• Associative Law of Multiplication
• The Distributive Property
• Law of Exponents: Multiplication (LEM)
• Law of Exponents: Division (LED)
• Law of Exponents: Powers (LEP)
• Simplifying Rational Expressions Using Exponent Laws - Example
• Law of Exponents: Extension of LEP 1
• Law of Exponents: Extension of LEP 2
• Law of Exponents: Negative Exponents
• Introduction to Roots
• Finding Cube Roots
• Simplifying a Polynomial (collecting like terms)
• Adding Polynomials
• Subtracting Polynomials
• Multiplying Monomials
• Multiplying Monomials by Polynomials
• Multiplying Binomials
• Multiplying Polynomials
• Dividing a Monomial by a Monomial
• Dividing a Polynomial by a Monomial 1
• Dividing a Polynomial by a Monomial 2
• Dividing a Polynomial by a Binomial
• Dividing Polynomials with Remainders
• Solving a Linear Equation Example 1
• Solving a Linear Equation Example 2
• Solving a Linear Equation Example 3
• Solving a Linear Equation Example 4
• Solving a Linear Equation Example 5
• Rearrange a Formula to Isolate a Specific Variable

• Introduction to Functions 1
• Introduction to Functions 2
• Introduction to Functions 3
• Introduction to Functions 4
• Evaluate a Formula or Function Using Substitution
• Domain of a Function
• Domain and Range of a Function 1
• Domain and Range of a Function 2
• Domain and Range of a Function 3
• The Coordinate Plane
• Plotting (x,y) Coordinates
• Finding the Length of a Line Segment or Finding the Distance Between Two Points (Distance Formula)
• Graphing a Basic Function
• Graphing a Quadratic Function

• Checking if a Point is (or is not) a Solution in a Linear System
• Finding Slope from a Graph
• Finding Slope When Given Two Points (or Ordered Pairs) Example 1
• Finding Slope When Given Two Points (or Ordered Pairs) Example 2
• Graphing a Linear Function by the X and Y Intercept Method
• Graphing a Linear Function (Line) by the Slope Y-Intercept Method Example 1
• Graphing a Linear Function (Line) by the Slope Y-Intercept Method Example 2
• Solving Linear Systems by Graphing
• Solving Linear Systems by Substitution Method Example 1
• Solving Linear Systems by Substitution Method Example 2
• Solving Linear Systems by Elimination (Addition) Method Example 1
• Solving Linear Systems by Elimination (Addition) Method Example 2

• Binomial Squared (Special Products in Algebra)
• Difference of Squares (Special Products in Algebra)
• Finding The Greatest Common Factor (GCF)
• More GCF Examples
• Common Factoring Example
• More Common Factoring Examples
• Factoring Easy Trinomials (Trinomial with a Leading One Coefficient)
• Factor by Grouping (Triple Common Factor)
• Factoring Hard Trinomials (Trinomials with a Non-One Coefficicent)
• Factoring a Trinomial with a Common Factor First
• Factoring a Perfect Square Trinomial

• Solving Quadratics by Factoring Example 1
• Completing the Square
• Completing the Square to Solve Quadratics
• Quadratic Formula 1
• Quadratic Formula 2
• Quadratic Formula 3
• Quadratic Formula 4
• Graphing a Quadratic

• Law of Exponents: Multiplication (LEM)
• Law of Exponents: Division (LED)
• Law of Exponents: Powers (LEP)
• Simplifying Rational Expressions Using Exponent Laws - Example
• Law of Exponents: Extension of LEP 1
• Law of Exponents: Extension of LEP 2
• Law of Exponents: Negative Exponents
• Rational Exponents and Exponent Laws
• Simplifying Expressions With Rational Exponents
• Simplifying Radical Expressions Example 1
• Simplifying Radical Expressions Example 2
• Simplifying Radical Expressions Example 3
• How to Rationalize a Denominator
• Addition of Radical Expressions
• Subtraction of Radical Expressions
• Adding and Subtracting Radical Expressions
• Multiplying Rational Expressions Example 1
• Multiplying Rational Expressions Example 2
• How to Rationalize a Denominator

• Graphing Exponential Functions
• Solving Basic Logarithms and Exponentials
• Logarithm Properties (Sum and Difference Properties)
• Logarithm Properties (Multiple Property and Change of Base)
• Proof of the Sum Property of Logarithms
• Proof of the Difference and Multiple Property of Logarithms
• Change of Base Formula
• Simplifying Logarithms
• Calculating a Logarithm with a Calculator
• Logarithmic Equations
• Solving Logarithmic Equations

• Introduction to Ratios
• Understanding Proportions
• Ratios as Fractions
• Simplifying Rates and Ratios
• Finding an Unknown in a Proportion
• Finding Unit Rates
• Finding Unit Prices

• Language and Notation in Geometry
• Angle Basics
• Measuring Angles in Degrees
• Radians and Degrees
• Using SOH CAH TOA and Pythagoreans Theorem to Solve Right Angle Triangles Part 1
• Using SOH CAH TOA and Pythagoreans Theorem to Solve Right Angle Triangles Part 2

• The Unit Circle
• Radians and Degrees

• Introduction to Scalars and Vectors
• Visualizing Vectors in Two Dimensions
• Vector Addition and Subtraction Examples
• Proof: Law of Sines
• Proof: Law of Cosines

• Graphs of Trigonometric Functions - Sine
• Graphs of Trigonometric Functions - Cosine
• Graphs of Trigonometric Functions - Tangent
• Graphing Trigonometric Functions: Transformations
• Finding the Trigonometric Equation From the Graph 1
• Finding the Trigonometric Equation From the Graph 2

• Trig Identities 1
• Trig Identities 2