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PSAT

SAT I

SAT II


   Biology

   English Lit

   Math Level I
   
   Math Level II

   Physics

   Chemistry

   U.S. History

   World History

ACT

AP EXAMS

TOEFL  
  
Math Level 1 

1.1 Order of Operations
  - Pemdas
  - radical numerator denominator 

1.2 Numbers
   - Whole Numbers, natural Numbers
   - Integers
   - Rational Numbers, irrational Numbers
   - Real Numbers, imaginary Numbers
   - Even and Odd Numbers
   - Positive and Negative Numbers
   - Absolute Value

1.3 Factors
   - Factorization
   - Prime Numbers
   - prime factorization.
   - greatest common factor
   - relatively prime

1.4 Multiples
   - least common multiple

1.5 Fractions
   - A mixed number

1.6 Decimals

1.7 Percents

1.8 Exponents
   - Base, exponent
   - Square, cube
   - Special Exponents
   - Zero, one
   - Fractional Exponents, negative Exponents

1.9 Roots and Radicals

1.10 Logarithms
   - Product Rule, quotient Rule, power Rule

2.Algebraic methods

2.1 Writing Equation
2.2 Manipulating Equations
2.3 Zero Product
2.4 Absolute Value
2.5 Inequalities
2.6 Systems of Equations
2.7 Common Word Problems
   - Rates, speed, work
   - Price
   - Percent Change
2.8 Polynomials
   - Binomial
   - FOIL: First, Outer, Inner, Last.
   - Quadratic Equations
   - roots
   - Quadratic Formula
   - discriminant
2.9 Key Formulas
   - Distributive Property
   - Perfect Square of a Binomial
   - Difference of Two Squares
   - Quadratic Formula

3.Plane Geometry

3.1 Lines and Angle
   - line segment
   - midpoint
   - equidistant angle
   - Supplementary angles, complementary angles
   - Alternate exterior angles, alternate interior angles
   - Corresponding angles
   - perpendicular lines
   - parallel lines
3.2 triangles
   - scalene triangle, isosceles triangle, equilateral triangle, right triangle
3.3 Polygons
   - quadrilateral, trapezoid
   - parallelogram
   - rectangle
3.4Circles
   - radius, diameter, chord
   - central angle
   - circumference

4.coordinate plane

4.1 The Coordinate Plane
4.2 Lines and Distance
4.4 Lines
4.5 Other Important Graphs and Equations

5.Trigonometry

5.1Basic Functions
   - Sine, cosine, tangent
5.2 Solving Right Triangles
5.3 Trigonometric Identities
5.4 The Unit Circle
5.5 Radians and Degrees
5.6Graphing in the Entire Coordinate Plane

6. Functions

6.1Characteristics of a Function
6.2 Operations on Functions
6.3 Domain and Range
6.4 Graphing Functions
   - asymptote
   - hole
   - roots (or zeroes)
   - Odd Functions
   - Symmetry Across the x-axis

7. Statistics

7.1 Statistical Analysis
   arithmetic, mean, median, mode
7.2 Probability
   - probability
7.3Permutations and Combinations
  - factorial, permutation, combination
7.4 Sets
   - union
   - intersection