Solving Linear Equations Linear Inequalities Solving and graphing linear inequalities in one variable, compound inequalities (e.g., $x>2$ AND $x<5$) Solving Linear Inequalities Systems of Linear Equations Solving systems of two linear equations in two variables (graphing, substitution, elimination methods) Solving Systems of Equations Polynomials Operations with polynomials (addition, subtraction, multiplication), degree of a polynomial, basic factoring (GCF, difference of squares, trinomials leading coefficient 1) Polynomial Operations & Basic Factoring Quadratic Equations Solving simple quadratic equations by factoring, using the quadratic formula (for standard cases), understanding roots/zeros Introduction to Quadratic Equations Exponents Laws of exponents (product, quotient, power rules), integer exponents (positive, negative, zero), scientific notation Laws of Exponents & Scientific Notation Radicals Simplifying square roots, operations with square roots, rationalizing denominators (simple cases) Simplifying Radical Expressions Algebraic Manipulation Rewriting algebraic expressions, isolating variables in formulas, working with algebraic fractions (simple) Formula Rearrangement & Variables Intermediate Algebra Functions Function notation ($f(x)$), evaluating functions, domain and range, inverse functions (basic), operations on functions (add, subtract, multiply, divide) Function Concepts & Notation Graphing Functions Graphing linear, quadratic, exponential, radical, and absolute value functions; identifying intercepts, vertex, asymptotes (basic) Graphing Common Functions Complex Numbers Defining $i$ ($i^2 = -1$), operations with complex numbers (addition, subtraction, multiplication, division - basic) Operations with Complex Numbers Logarithms Converting between exponential and logarithmic form, basic logarithmic properties (product, quotient, power rules), solving simple logarithmic equations Logarithms & Exponentials Matrices Adding, subtracting, and scalar multiplication of matrices; multiplying matrices (small dimensions, e.g., $2 \times 2$) Matrix Operations Sequences & Series Arithmetic and geometric sequences (finding terms, sums of finite series), patterns, recursive definitions Arithmetic & Geometric Sequences/Series Advanced Systems of Equations Solving systems with linear and quadratic equations, systems of three linear equations in three variables Advanced Systems of Equations Coordinate Geometry Distance & Midpoints Distance formula, midpoint formula between two points in the coordinate plane Distance & Midpoint Formulas Line