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.
Follow me on Twitter for FREE CSET Practice:
https://twitter.com/CSETMathGuru OR @CSETMathGuru
Additional FREE Practice on Youtube:
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
Qs? Call (Jay): 951-489-7665
OR email me: [email protected].
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.
Follow me on Twitter for FREE CSET Practice:
https://twitter.com/CSETMathGuru OR @CSETMathGuru
Additional FREE Practice on Youtube:
- Subtest 1: https://www.youtube.com/playlist?list=PLhihUevXDp0It-o_0fi50T3OLPfhSGCQ7
- Subtest 2: https://www.youtube.com/playlist?list=PLhihUevXDp0JAH7gU5qxlGYStAT8Bs0vR
- Subtest 3: https://www.youtube.com/playlist?list=PLhihUevXDp0JmQrI_FeEFO8RVABVAo0Tc
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
Qs? Call (Jay): 951-489-7665
OR email me: [email protected].