Algebra 1

Algebra 1 Regents Exam Topics Explained:

Basic Algebra

  • Algebra Basics
  • Balancing Equations
  • Multiplication
  • Order of Operations (BODMAS)
  • Order of Operations (PEMDAS)
  • Substitution
  • Equations vs Formulas
  • Inequalities

Exponents

  • Exponent Basics
  • Negative Exponents
  • Reciprocals
  • Square Roots
  • Cube Roots
  • nth Roots
  • Surds
  • Simplify Square Roots
  • Fractional Exponents
  • Laws of Exponents
  • Using Exponents in Algebra
  • Multiplying and Dividing Different Variables with Exponents

Simplifying

  • Expanding Equations
  • Multiplying Negatives
  • Laws
    • Associative
    • Commutative
    • Distributive
  • Cross Multiplying
  • Proportional
  • Directly vs Inversely Proportional
  • Fractions

Factoring

  • Factoring Basics

Logarithms

  • Logarithm Basics
  • Logarithms with Decimals
  • Logarithms and¬†Exponents

Polynomials

  • Polynomial Basics
  • Polynomial Addition And Subtraction
  • Polynomials¬†Multiplication
  • Polynomial Long Multiplication
  • Rational Expressions
  • Dividing Polynomials
  • Polynomial Long Division
  • Conjugating
  • Rationalizing The Denominator
  • Special Binomial Products

Linear Equations

  • Equation of a Straight Line
  • Straight Line Graph
  • Cartesian Coordinates

Quadratic Equations

  • Quadratic Equation Basics
  • Solving a Quadratic Equation
  • Factoring Quadratic Equations
  • Completing the Square

Solving Word Problems

  • Solving Word Problems or Word Questions
  • Solving Inequality Word Problems

Functions

  • Function Basics

Sequences and Series

  • Algebraic Sequences & Series