SAT. Math Practice

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SAT. Math Practice 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
Ratios and Proportions
Percent Notation
- Basic Definition
- Converting Between Percent Notation and Decimal Notation
- Converting Between Percent Notation and Fractional Notation
- Solving Percent Problems
- Applications
  - Chemical Solutions Problems
  - Discount Problems
  - Investment Problems
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
Linear Equations and Inequalities in One Variable
- Solving Linear Equations
- Solving Linear Inequalities
- Solving Equations Involving Absolute Values
- Solving Inequalities Involving Absolute Values
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
Functions and Graphs
- Basic Definitions and Notations
- Graphs of Functions
- Graph of the Function y=ax+b
- Translating Graphs of Functions
Systems of Two Linear Equations in Two Variables
- Basic Concepts
- Solutions Using Graphing
- Solutions Using Substitution
- Solutions Using Elimination
Parallel Lines
- Transversals and Parallel Lines
- Angles of a Triangle
- Angles of a Convex Polygon
Congruence
- Exterior Angles and Interior Angles of Triangles
- Congruent Triangles
- Congruent Right Triangles
- Isosceles Triangles
Quadrilaterals
- Parallelograms
- Rectangles
- Squares
- Rhombi
Similarity
- Angle-Angle Similarity
- SAS and SSS Similarity
- Similarity in Right Triangles
- Proportional Lengths
Right Triangles
- The Pythagorean Theorem
- The Converse of the Pythagorean Theorem
- Special Right Triangles
- Trigonometry
  - The Sine and Cosine Ratios
  - The Tangent Ratio
Circles
- Basic Definitions
- Arcs and Angles
  - Central Angles
  - Inscribed Angles
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
Sequences and Series
- Arithmetic Sequences
- Arithmetic Series
- Geometric Sequences
- Geometric Series
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
Mean, Median, and Mode
- Mean
- Median
- Mode