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Algebra 1

The Basics

  • What Are The Four Basic Operations In Mathematics
  • Order of Operations – BODMAS, or PEMDAS

Exponents

  • What is an Exponent?
  • What are Laws of Exponents?
  • Review of Exponents
  • Surds

Simplifying

  • Adding Signed Numbers
  • Multiplying Negatives
  • Associative, Commutative and Distributive Laws
  • Hints for Remembering the Properties of Real Numbers
  • Proportions
  • What is a Ratio and Proportion
  • What is Fraction and How many Types of Fractions are there
  • Comparing and Ordering of Fractions
  • Operations on Fractions
  • What is an Equivalent Fraction

Factoring

  • Common Factors
  • Factoring

Logarithms

  • How do Logarithms Work?
  • Logarithmic Expressions
  • Logarithmic Equations

Polynomials

  • What is a Polynomial?
  • Types of Polynomials
  • Monomials, Binomials, and Polynomials
  • How do you determine the degree of a Polynomial?
  • Zeros of a Polynomial Function
  • Factors and Coefficients of a Polynomial
  • Relationship Between Zeros and Coefficients of a Polynomial
  • How to form a polynomial with the given zeroes
  • Adding Polynomials
  • Subtracting Polynomials
  • Dividing Polynomials
  • Multiplying Binomials
  • Polynomial Long Multiplication

Linear Equations

  • Equations of Straight Lines
  • Point-Slope Equation of a Line
  • Cartesian Coordinates
  • What is the Cartesian Coordinate System
  • Polar and Cartesian Coordinates

Quadratic Equations

  • Quadratic Equations
  • Nature of the Roots of a Quadratic Equation
  • Solving Quadratic Equations with Complex Roots
  • Factoring Quadratics
  • Solving Quadratic Equations by Factoring
  • Solving Factorable Quadratic Equations
  • Completing the Square
  • Solving Quadratic Equations by Completing the Square

Solving Word Questions

  • Solving Word Questions
  • Solving Inequality Word Questions

Functions

  • Definition of a Function

Sequences and Series

  • Sequences and Series
  • What is the pattern of numbers?
  • Arithmetic Sequences and Series
  • Geometric Sequences and Series
  • What is Arithmetico–Geometric Sequence?
  • Recursive Sequences

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