Algebra

Introduction to Variables and Expressions

Understanding the concept of variables, evaluating expressions, and translating word problems into algebraic expressions.

Solving

Equations

Solving linear equations with one variable, including equations involving addition, subtraction, multiplication, and division. This also includes equations with variables on both sides and the concept of creating equivalent equations.

Inequalities

Solving and graphing linear inequalities, including compound inequalities involving multiple inequalities.

Systems of Equations

Solving systems of linear equations, both algebraically and graphically. This includes systems with two variables and systems involving three variables.

Polynomials

Understanding polynomial expressions, adding, subtracting, multiplying, and dividing polynomials. Topics also include factoring polynomials, finding zeros or roots, and solving polynomial equations.

Exponents and Radicals

Working with exponents, simplifying expressions with exponents, and solving equations involving exponents. Introducing the concept of radicals and simplifying expressions with radicals.

Quadratic Equations

Understanding polynomial expressions, adding, subtracting, multiplying, and dividing polynomials. Topics also include factoring polynomials, finding zeros or roots, and solving polynomial equations.

Rational Expressions

Simplifying and performing operations with rational expressions, including adding, subtracting, multiplying, and dividing. Solving equations involving rational expressions.

Functions

Understanding the concept of functions, evaluating functions, finding domain and range, and working with function notation. This may include linear functions, quadratic functions, and exponential functions.

Graphing and Analyzing Linear Equations

Graphing and Analyzing Linear Equations: Understanding the slope-intercept form of a linear equation, graphing linear equations, finding slopes and intercepts, and analyzing linear functions.

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