Algebra
Algebra is a branch of mathematics that deals with symbols, variables, and their relationships. It forms a fundamental part of mathematics education and covers a range of topics. Here are some of the key topics covered in algebra:
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Introduction to Variables and Expressions
Understanding the concept of variables, evaluating expressions, and translating word problems into algebraic expressions.
Inequalities
Solving and graphing linear inequalities, including compound inequalities involving multiple inequalities.
Polynomials
Understanding polynomial expressions, adding, subtracting, multiplying, and dividing polynomials. Topics also include factoring polynomials, finding zeros or roots, and solving polynomial equations.
Quadratic Equations
Understanding polynomial expressions, adding, subtracting, multiplying, and dividing polynomials. Topics also include factoring polynomials, finding zeros or roots, and solving polynomial equations.
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.
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.
Systems of Equations
Solving systems of linear equations, both algebraically and graphically. This includes systems with two variables and systems involving three variables.
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.
Rational Expressions
Simplifying and performing operations with rational expressions, including adding, subtracting, multiplying, and dividing. Solving equations involving rational expressions.
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.