## CSETMathGuru: THE Site for Single Subject Math

The following are the

**8 MOST important topics and associated concepts/skills you ought to be a Guru at**for the CSET Subtest I Algebra:**1. Polynomial Functions and Quadratic Functions / Equations:**algebraic and graphical representation; finding roots through Factorization / Rational Roots Theorem, and knowing what they denote on the graph; finding the equation of a parabola given its parameters or polynomial function given its x-intercepts; manipulating complex numbers; graphing polynomial and quadratic functions**2. Rational Functions:**graphing using x- and y- intercepts, End Behavior, Vertical and Horizontal Asymptotes**3. Vectors:**Finding the Magnitude, Direction, Horizontal and Vertical components, and Unit Vector related to a given Vector; Determining the Dot Product and Angle between 2 vectors; Finding the Resultant Vector**4. Logarithmic and Exponential Equations and Functions**Knowing properties of Log and Exp Functions; Finding the Domain, Range, Inverse; Graphing**5. Circles, Parabolas, Ellipses and Hyperbolas:**Deriving their equations from their definitions or using given parameters (vertex/centre, focus, directrix, asymptote); solving systems of equations to determine their points of intersection**6. Systems of Equations:**Solving Systems of Equations through Substitution, Elimination, Cramer's Rule for Determinants and by finding Inverse of a Matrix or reducing Augmented Matrix to Echelon Form using Row Operations/ Transformations; Applying Linear Programming to optimize the Objective Function subject to Constraints**7. Functions:**finding their domain, range, inverse; evaluating composite functions; Solving for a variable; Graphing Inequalities**8. Number Theory:**Demonstrating Propositions of Mathematical Induction and Proving Rules of Divisibility; Applying Euclid's Algorithm to find the Greatest Common Divisor of 2 Numbers