SAT Subject Test. Math Level 1

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SAT Subject Test. Math Level 1 release 15.63

FULL VERSION
CONTENTS

Factors and Multiples
- Multiples and Divisibility
- Prime Factorizations
- Greatest Common Divisor
- Least Common Multiple
Fractional Notation
- Basic Definition
- Simplifying Fractions
- Comparing Fractions
- Operations with Fractions
  - Adding Fractions
    - General Rule
    - Adding Fractions Using the LCD
  - Subtracting Fractions
    - General Rule
    - Subtracting Fractions Using the LCD
  - Multiplying Fractions
  - Dividing Fractions
- Solving Problems Involving Fractions
- Mixed Numbers
Exponents and Radicals
- Positive Integer Exponents
- Zero and Negative Exponents
- Integer Exponents
- Square Roots
  - Basic Definitions
  - Approximate Square Roots
  - Equations Involving Radicals
- nth Roots
- Fractional Exponents
Operations with Polynomials
- Addition of Polynomials
- Subtraction of Polynomials
- Multiplication of Polynomials
Factoring Polynomials
- Greatest Common Factor
- Difference of Squares
- Sum or Difference of Cubes
- Factoring trinomials with a=1
- Trinomials of the Form ax2 + bx + c
- Square Trinomials
- Solving Equations by Factoring
Roots of Polynomial Equations
- The Remainder Theorem
- The Factor Theorem
Rational Expressions
- Simplifying Rational Expressions
- Multiplying Rational Expressions
- Dividing Rational Expressions
- Finding the Least Common Denominator
- Adding and Subtracting Rational Expressions
  - Rational Expressions with the Same Denominators
  - Rational Expressions with Different Denominators
- Solving Rational Equations
Coordinate Geometry
- Rectangular Coordinate System
  - Rectangular Coordinates of a Point
  - The Distance Formula
  - Circles
  - The Midpoint Formula
- Equations of Straight Lines
  - Slope of a Line
  - Slope-Intercept Equation of a Line
  - Point-Slope Equation of a Line
  - Slopes for Parallel Lines
  - Slopes for Perpendicular Lines
Elementary Functions
- Functions and Graphs
  - Basic Definitions and Notations
  - Graphs of Functions
  - Composite Functions
  - Inverse Functions
- Linear and Absolute Value Functions
  - Graph of the Function y=ax+b
  - Graph of the Function y=|ax+b|
  - Linear Equations and Inequalities in One Variable
    - Solving Linear Equations
    - Solving Linear Inequalities
    - Solving Equations Involving Absolute Values
    - Solving Inequalities Involving Absolute Values
- Quadratic Functions
  - Graphs of Quadratic Functions
  - Completing the Square
  - Factoring Trinomials by Completing the Square
  - Solving Quadratic Equations
    - Solving Quadratic Equations by Completing the Square
    - Solving Quadratic Equations by General Formula
    - The Sum and the Product of the Roots
    - Complex Roots of a Quadratic Equation
- Exponential and Logarithmic Functions
  - Graphs of Functions
    - Exponential Function
    - Exponential and Logarithmic Functions
    - Logarithmic Function
  - Properties of Logarithms
  - Solving Exponential and Logarithmic Equations
    - Solving Exponential Equations
    - Solving Logarithmic Equations
Systems of Two Linear Equations in Two Variables
- Basic Concepts
- Solutions Using Graphing
- Solutions Using Substitution
- Solutions Using Elimination
Conic Sections
- The Parabola
- The Ellipse
- The Hyperbola
Complex Numbers
- Basic Definitions and Graphical Representation of Complex Numbers
- Operations with Complex Numbers
  - Conjugate Complex Numbers
  - Addition
  - Subtraction
  - Multiplication
  - Division
Right Triangles
- The Pythagorean Theorem
- The Converse of the Pythagorean Theorem
- Special Right Triangles
- Trigonometry
  - The Sine and Cosine Ratios
  - The Tangent Ratio
Areas of Plane Figures
- Areas of Polygons
  - Areas of Rectangles
  - Areas of Parallelograms
  - Areas of Triangles
- Circles and Similar Figures
  - Areas of Circles
  - Areas of Sectors
  - Circumferences of Circles
  - Arc Lengths
Solids
- Prisms
- Pyramids
- Cylinders
- Cones
- Spheres
Trigonometric Functions
- Directed Length of Arc
- The Sine Function
- The Cosine Function
- The Tangent Function
- The Cotangent Function
- The Secant Function
- The Cosecant Function
Trigonometric Identities
- Basic Identities
- Multiple-Angle Identities
- Sum and Difference Identities
Solving Right Triangles
- One Side and One Angle are Given
- Two Sides are Given
Sequences and Series
- Arithmetic Sequences
- Arithmetic Series
- Geometric Sequences
- Geometric Series
Binomial Theorem
- Factorial Notation
- Binomial Expansions
- Pascal's Triangle
Counting Principles and Probability
- Counting Principles
  - Factorial Notation
  - Permutations of n Elements Taken r at a Time
  - Combinations
  - Fundamental Counting Principles
- Probability
  - Basic Probability Concepts
  - Venn Diagram
  - Conditional Probability and Multiplication Theorem
  - Addition Theorem
  - Complementation Theorem