# 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
• 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

• 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