Real Numbers – properties, operations, and rules of signs.
Linear Equations and Inequalities – solving and graphing simple equations.
Quadratic Equations – factoring, completing the square, and quadratic formula.
Polynomials – operations, synthetic division, and remainder theorem.
Rational Expressions – simplifying, multiplying, and dividing fractions.
Radical Expressions – simplifying radicals and solving radical equations.
Exponents and Logarithms – laws of exponents and logarithmic equations.
Functions and Graphs – definition, types of functions, and graphing techniques.
Systems of Equations – solving by substitution, elimination, and graphing.
Sequences and Series – arithmetic and geometric sequences.
Complex Numbers – operations and graphical representation.
Applications of Algebra – word problems and real-life uses of algebraic concepts.