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