Algebra

Review of basic algebraic concepts including order of operations, real number properties, absolute value, and inequalities.

Detailed guide on the laws of exponents, simplifying radicals, rationalizing denominators, and solving radical equations.

Understanding linear equations, slope, intercepts, parallel and perpendicular lines, and solving inequalities.

Techniques and strategies for solving common algebraic word problems including age, mixture, work, motion, and clock problems.

Techniques for solving systems of linear equations using graphing, substitution, and elimination methods.

Methods for solving quadratic equations including factoring, completing the square, and the quadratic formula.

Operations on polynomials, synthetic division, factorization techniques, and finding roots.

Simplifying, adding, subtracting, multiplying, and dividing rational expressions, and solving rational equations.

Introduction to functions, domain and range, inverse functions, piecewise functions, and symmetry.

Rules of logarithms, natural logs, change of base formula, and solving logarithmic and exponential equations.

Understanding imaginary numbers, complex operations, the complex plane, and De Moivre's Theorem.

Comprehensive guide to matrix operations, calculating determinants, finding inverses, and using Cramer's Rule.

Equations, properties, and graphs of circles, ellipses, parabolas, and hyperbolas.

Arithmetic and geometric progressions, infinite series, summation notation, and the binomial theorem.

Fundamental counting principles, permutations, combinations, and basic probability theory.