# Algebra 1

The Algebra 1 Regents exam in New York State covers a range of topics typically taught in a first-year algebra course. Some of the key topics include:

**Operations with Real Numbers:** Addition, subtraction, multiplication, and division of integers, rational numbers, and irrational numbers.

**Expressions and Equations: **Simplifying algebraic expressions, solving linear equations and inequalities, and understanding properties of equality.

**Linear Functions and Graphs: **Understanding slope-intercept form, graphing linear equations, and interpreting slope and y-intercept.

**Systems of Linear Equations and Inequalities: **Solving systems of equations by graphing, substitution, and elimination methods, and solving systems of inequalities.

**Quadratic Functions and Equations:** Understanding quadratic functions, solving quadratic equations by factoring, completing the square, and using the quadratic formula.

**Exponential Functions: **Understanding exponential growth and decay, graphing exponential functions, and solving exponential equations.

**Polynomials: **Adding, subtracting, multiplying, and factoring polynomials, and solving polynomial equations.

**Rational Expressions and Equations:** Simplifying and performing operations with rational expressions, and solving rational equations.

**Radicals and Rational Exponents: **Simplifying radical expressions, performing operations with radicals, and simplifying expressions involving rational exponents.

**Data Analysis and Probability:** Interpreting and analyzing data represented in tables, graphs, and scatter plots, and understanding basic concepts of probability.

These topics represent the foundational algebraic concepts and skills that students are expected to master by the end of an Algebra 1 course in New York State.