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SAT Math Prep Course
Introduction to the SAT
About This Course 1
Preview
About This Course 2
Preview
About This Course 3
Preview
What Does the SAT Measure 1
Preview
What Does the SAT Measure 2
Format of the SAT
Pacing 1
Pacing 2
Scoring the SAT 1
Scoring the SAT 2
Scoring the SAT 3
Skipping and Guessing
Order of Difficulty
The PSAT
The “2 out of 4” Rule
How to Use this Course 1
How to Use this Course 2
Questions and Answers 1
Questions and Answers
Questions and Answers 3
Math Orientation
Format of the Math Section
Preview
Level of Difficulty 1
Preview
Level of Difficulty 2
Level of Difficulty 3
Level of Difficulty 4
Directions and Reference Material 1
Directions and Reference Material 2
Directions and Reference Material 3
Directions and Reference Material 4
Directions and Reference Material 5
Directions and Reference Material 6
Substitution
Substitution 1
Preview
Substitution Example 1
Preview
Substitution 2
Substitution Example 2
Substitution Example 3
Substitution Problem 1
Substitution Problem 2
Substitution Problem 3
Substitution Problem 4
Substitution Problem 5
Substitution Problem 6
Substitution Problem 7
Substitution Problem 8
Substitution Problem 9
Substitution Problem 10
Substitution Plugging In
Substitution Plugging
Preview
Substitution Plugging In Example
Preview
Substitution Plugging Problem 1
Substitution Plugging Problem 2
Substitution Plugging Problem 3
Substitution Plugging Problem 4
Substitution Plugging Problem 5
Substitution Plugging Problem 6
Defined Functions
Defined Functions 1
Preview
Defined Functions Example 1
Preview
Defined Functions Example 2
Defined Functions Example 3
Defined Functions 2
Defined Functions Example 4
Defined Functions Example 5
Defined Functions Example 6
Defined Functions Example 7
Defined Functions Example 8
Defined Functions Example 9
Defined Functions Problem 1
Defined Functions Problem 2
Defined Functions Problem 3
Defined Functions Problem 4
Defined Functions Problem 5
Defined Functions Problem 6
Defined Functions Problem 7
Defined Functions Problem 8
Defined Functions Problem 9
Defined Functions Problem 10
Defined Functions Problem 11
Defined Functions Problem 12
Defined Functions Problem 13
Defined Functions Problem 14
Defined Functions Problem 15
Defined Functions Problem 16
Defined Functions Problem 17
Defined Functions Problem 18
Defined Functions Problem 19
Functions
Definition of a Function 1
Preview
Definition of a Function 2
Preview
Domain and Range 1
Domain and Range 2
Domain and Range 3
Graphs 1
Graphs 2
Translations of Graphs 1
Translations of Graphs 2
Translations of Graphs 3
Translations of Graphs 4
Translations of Graphs 5
Translations of Graphs 6
Reflections of Graphs 1
Reflections of Graphs 2
Reflections of Graphs 3
Reflections of Graphs 4
Reflections of Graphs 5
Reflections of Graphs 6
Reflections of Graphs 7
Reflections of Graphs 8
Evaluation and Composition of Functions 1
Evaluation and Composition of Functions 2
Evaluation and Composition of Functions 3
Evaluation and Composition of Functions 4
Evaluation and Composition of Functions 5
Evaluation and Composition of Functions 6
Evaluation and Composition of Functions Example
Quadratic Functions 1
Quadratic Functions 2
Quadratic Functions 3
Quadratic Functions 4
Quadratic Functions 5
Quadratic Functions Example 2
Functions (continued)
Qualitative Behavior of Graphs and Functions
Qualitative Behavior of Graphs and Functions Example
Functions as Models of Real-Life Situations
Functions as Models of Real-Life Situations Example
Functions Problem 1
Functions Problem 2
Functions Problem 3
Functions Problem 4
Functions Problem 5
Functions Problem 6
Functions Problem 7
Functions Problem 8
Math Notes
Math Notes 1
Preview
Math Notes 2
Math Notes 3
Math Notes 4
Math Notes 5
Math Notes 6
Math Notes 7
Math Notes 8
Math Notes Example 1
Math Notes 9
Math Notes 10
Math Notes 11
Math Notes 12
Math Notes Example 2
Math Notes 13
Math Notes 14
Math Notes 15
Math Notes 16
Math Notes 17
Math Notes 18
Math Notes Problem 1
Math Notes Problem 2
Math Notes Problem 3
Math Notes Problem 4
Math Notes Problem 5
Math Notes Problem 6
Math Notes Problem 7
Math Notes Problem 8
Math Notes Problem 9
Math Notes Problem 10
Number Theory
Number Theory 1
Preview
Number Theory Example 1
Preview
Number Theory Example 2
Number Theory 2
Number Theory 3
Number Theory Example 2
Number Theory 4
Number Theory 5
Number Theory 6
Number Theory 7
Number Theory 8
Number Theory 9
Number Theory 10
Number Theory 11
Number Theory 12
Number Theory 13
Number Theory 14
Number Theory 15
Number Theory 16
Number Theory 17
Number Theory Example 3
Number Theory Example 4
Number Theory Example 5
Number Theory Problem 1
Number Theory Problem 2
Number Theory Problem 3
Number Theory Problem 4
Number Theory Problem 5
Number Theory Problem 6
Number Theory Problem 7
Number Theory Problem 8
Number Theory Problem 9
Number Theory Problem 10
Geometry
Geometry Lines and Angles 1
Preview
Geometry Lines and Angles 2
Geometry Lines and Angles 3
Geometry Lines and Angles 4
Geometry Lines and Angles Example 1
Geometry Lines and Angles Example 2
Geometry Lines and Angles 5
Geometry Lines and Angles 6
Geometry Lines and Angles 7
Geometry Triangles 1
Geometry Triangles 2
Geometry Triangles Example 1
Geometry Triangles 3
Geometry Triangles 4
Geometry Triangles 5
Geometry Triangles 6
Geometry Triangles Example 2
Geometry Triangles 7
Geometry Quadrilaterals 1
Geometry Quadrilaterals Example
Geometry Quadrilaterals 2
Geometry Quadrilaterals 3
Geometry Volume
Geometry Volume Example
Geometry Circles 1
Geometry Circles 2
Geometry Circles 3
Geometry Circles 4
Geometry Circles Example
Geometry (continued)
Shaded Regions
Shaded Regions Example 1
Shaded Regions Example 2
Geometry 'Birds-Eye' View
Geometry 'Birds-Eye' View Example
Geometry Extreme Cases
Geometry Extreme Cases Example 1
Geometry Extreme Cases Example 2
Geometry Eye-Balling
Geometry Eye-Balling Example 1
Geometry Eye-Balling Example 2
Geometry Problem 1
Geometry Problem 2
Geometry Problem 3
Geometry Problem 4
Geometry Problem 5
Geometry Problem 6
Geometry Problem 7
Geometry Problem 8
Geometry Problem 9
Geometry Problem 10
Geometry Problem 11
Geometry Problem 12
Geometry Problem 13
Geometry Problem 14
Geometry Problem 15
Geometry Problem 16
Geometry Problem 17
Geometry Problem 18
Geometry Problem 19
Geometry Problem 20
Coordinate Geometry
Coordinate Geometry Introduction 1
Preview
Coordinate Geometry Introduction 2
Coordinate Geometry Introduction 3
Coordinate Geometry Introduction 4
Coordinate Geometry Introduction Example
Distance Formula
Distance Formula Example
Midpoint Formula
Midpoint Formula Example
Slope Formula
Slope Formula Example
Slope-Intercept Form
Slope-Intercept Form Example
Intercepts
Intercepts Example
Areas and Perimeters
Areas and Perimeters Example 1
Areas and Perimeters Example 2
Coordinate Geometry Problem 1
Coordinate Geometry Problem 2
Coordinate Geometry Problem 3
Coordinate Geometry Problem 4
Coordinate Geometry Problem 5
Coordinate Geometry Problem 6
Coordinate Geometry Problem 7
Coordinate Geometry Problem 8
Coordinate Geometry Problem 9
Coordinate Geometry Problem 10
Elimination Strategies
Elimination Strategies 1
Preview
Elimination Strategies 2
Elimination Strategies 3
Elimination Strategies 4
Elimination Strategies 5
Elimination Strategies Problem 1
Elimination Strategies Problem 2
Elimination Strategies Problem 3
Elimination Strategies Problem 4
Elimination Strategies Problem 5
Inequalities
Inequalities Introduction
Preview
Positive and Negative Numbers 1
Positive and Negative Numbers 2
Positive and Negative Numbers Example
Absolute Value
Absolute Value Example
Higher Order Inequalities 1
Higher Order Inequalities 2
Transitive Property
Transitive Property Example
Like Inequalities Can Be Added
Like Inequalities Can Be Added Example
Inequalities Problem 1
Inequalities Problem 2
Inequalities Problem 3
Inequalities Problem 4
Inequalities Problem 5
Inequalities Problem 6
Inequalities Problem 7
Inequalities Problem 8
Inequalities Problem 9
Fractions and Decimals
Fractions Introduction
Preview
Fractions Cross-Multiplying
Fractions Cross-Multiplying Example
Fractions Lowest Terms
Fractions Lowest Terms Example
Fractions Solving by Multiplying by the LCD
Fractions Solving by Multiplying by the LCD Example
Fractions Complex
Fractions Complex Example 1
Fractions Complex Example 2
Fractions Multiplying
Fractions Adding by Cross-multiplying
Fractions Adding by Cross-multiplying Example 1
Fractions Adding by Cross-multiplying Example 2
Fractions Adding by Getting a Common Denominator
Fractions Finding the Common Denominator
Fractions Unusual Behavior
Decimals Introduction
Decimals Adding, Subtracting, Multiplying, Dividing
Decimals Example 1
Decimals Example 2
Decimals Example 3
Fractions and Decimals Problem 1
Fractions and Decimals Problem 2
Fractions and Decimals Problem 3
Fractions and Decimals Problem 4
Fractions and Decimals Problem 5
Fractions and Decimals Problem 6
Fractions and Decimals Problem 7
Fractions and Decimals Problem 8
Fractions and Decimals Problem 9
Fractions and Decimals Problem 10
Equations
Equations PEMDAS
Preview
Equations PEMDAS Example 1
Preview
Equations PEMDAS Example 2
Equations Properties of Equations 1
Equations Properties of Equations 2
Equations Solving for Expressions
Equations Solving for Expressions Example
Equations 'Triple' Equations
Equations 'Triple' Equations Example
Equations Adding Equations
Equations Adding Equations Example
Equations Method of Substitution
Linear Equations as Models
Linear Equations as Models Example
Equations Problem 1
Equations Problem 2
Equations Problem 3
Equations Problem 4
Equations Problem 5
Equations Problem 6
Equations Problem 7
Equations Problem 8
Equations Problem 9
Equations Problem 10
Averages
Averages Definition
Preview
Averages Definition Example
Preview
Averages Weighted Average
Averages Using an Average to Find a Number
Averages Using an Average to Find a Number Example
Averages Average Speed
Averages Average Speed Example
Averages Problem 1
Averages Problem 2
Averages Problem 3
Averages Problem 4
Averages Problem 5
Averages Problem 7
Averages Problem 8
Averages Problem 9
Ratio and Proportion
Ratio Introduction
Preview
Ratio Introduction Example
Preview
Proportion Introduction
Proportion Direct Proportion
Proportion Direct Proportion Example
Proportion Direct Proportion Word Problems Example 1
Proportion Direct Proportion Word Problems Example 2
Proportion Order
Proportion Inverse Proportion
Proportion Inverse Proportion Word Problems
Proportion Inverse Proportion Word Problems Example
Proportion Summary
Proportion Summary Example
Ratio and Proportion Problem 1
Ratio and Proportion Problem 2
Ratio and Proportion Problem 3
Ratio and Proportion Problem 4
Ratio and Proportion Problem 5
Ratio and Proportion Problem 6
Ratio and Proportion Problem 7
Ratio and Proportion Problem 8
Ratio and Proportion Problem 9
Exponents
Exponents Introduction
Exponents The Rules 1
Exponents The Rules 2
Exponents The Rules Example 1
Exponents The Rules Example 2
Exponents The Rules Example 3
Roots 1
Roots 2
Roots 3
Roots 4
Roots 5
Roots 6
Roots 7
Roots 8
Roots Example 1
Roots Example 2
Roots Rationalizing
Roots Rationalizing Example 1
Roots Rationalizing Example 2
Exponents and Roots Problem 1
Exponents and Roots Problem 2
Exponents and Roots Problem 3
Exponents and Roots Problem 4
Exponents and Roots Problem 5
Exponents and Roots Problem 6
Exponents and Roots Problem 7
Exponents and Roots Problem 8
Exponents and Roots Problem 9
Factoring
Factoring Introduction
Factoring Distributive Rule
Factoring Distributive Rule Example 1
Factoring Distributive Rule Example 2
Factoring Difference of Squares
Factoring Difference of Squares Example
Factoring Perfect Square Trinomials
Factoring Perfect Square Trinomials Example
Factoring General Trinomials
Factoring General Trinomials Example
Factoring Complete Factoring
Factoring Problem 1
Factoring Problem 2
Factoring Problem 3
Factoring Problem 4
Factoring Problem 5
Factoring Problem 6
Factoring Problem 7
Factoring Problem 8
Factoring Problem 9
Factoring Problem 10
Algebraic Expressions
Algebraic Expressions Introduction
Algebraic Expressions Adding and Subtracting
Algebraic Expressions Commutative Property
Algebraic Expressions Associative Property
Algebraic Expressions Associative Property Examples
Algebraic Expressions Parentheses
Algebraic Expressions Order of Operations - PEMDAS
Algebraic Expressions Order of Operations - PEMDAS - Example
Algebraic Expressions FOIL Multiplication
Algebraic Expressions FOIL Multiplication Examples
Algebraic Expressions Division
Algebraic Expressions Division Example
Algebraic Expressions Problem 1
Algebraic Expressions Problem 2
Algebraic Expressions Problem 3
Algebraic Expressions Problem 4
Algebraic Expressions Problem 5
Algebraic Expressions Problem 6
Algebraic Expressions Problem 7
Algebraic Expressions Problem 8
Algebraic Expressions Problem 9
Algebraic Expressions Problem 10
Percents
Percents 1
Percents 2
Percents 3
Percents 4
Percents 5
Percents 6
Percents 7
Percents Example 1
Percents Example 2
Percents Example 3
Percents Example 4
Percents 8
Percents Example 5
Percents Problem 1
Percents Problem 2
Percents Problem 3
Percents Problem 4
Percents Problem 5
Percents Problem 6
Percents Problem 7
Percents Problem 8
Percents Problem 9
Percents Problem 10
Data Analysis
Data Analysis Introduction
Data Analysis Example 1
Data Analysis Example 2
Data Analysis Example 3
Data Analysis Example 4
Data Analysis Problem 1
Data Analysis Problem 2
Data Analysis Problem 3
Data Analysis Problem 4
Data Analysis Problem 5
Data Analysis Problem 6
Data Analysis Problem 7
Data Analysis Problem 8
Data Analysis Problem 9
Data Analysis Problem 10
Sequences and Series
Sequences Introduction
Sequences Introduction Example 1
Sequences Introduction Example 2
Arithmetic Progressions
Arithmetic Progressions Example
Arithmetic Progressions - Sequence Formulas 1
Arithmetic Progressions - Sequence Formulas 2
Arithmetic Progressions - Sequence Formulas 3
Geometric Progressions
Geometric Progressions Example
Geometric Progressions - Sequence Formulas 1
Geometric Progressions - Sequence Formulas 2
Geometric Progressions - Sequence Formulas 3
Series
Series Example 1
Series Example 2
Sequences and Series Problem 1
Sequences and Series Problem 2
Sequences and Series Problem 3
Sequences and Series Problem 4
Sequences and Series Problem 5
Sequences and Series Problem 6
Sequences and Series Problem 7
Sequences and Series Problem 8
Sequences and Series Problem 9
Sequences and Series Problem 10
Counting
Counting Overlapping Sets
Counting Overlapping Sets Example
The Number of Integers Between Two Integers
The Number of Integers Between Two Integers Example
Fundamental Principle of Counting
Fundamental Principle of Counting Example
Miscellaneous Counting Problems
Miscellaneous Counting Problems Example 1
Miscellaneous Counting Problems Example 2
Counting Problem 1
Counting Problem 2
Counting Problem 3
Counting Problem 4
Counting Problem 5
Counting Problem 6
Counting Problem 7
Counting Problem 8
Counting Problem 9
Counting Problem 10
Probability and Statistics
Probability Introduction 1
Probability Introduction 2
Probability Introduction 3
Probability Introduction 4
Consecutive Probabilities 1
Consecutive Probabilities 2
Either-Or-Probabilities 1
Either-Or-Probabilities 2
Either-Or-Probabilities 3
Either-Or-Probabilities 4
Geometric Probability
Statistics Introduction
Median
Median Example
Mode
Range
Standard Deviation
Standard Deviation Example
Probability and Statistics Problem 1
Probability and Statistics Problem 2
Probability and Statistics Problem 3
Probability and Statistics Problem 4
Probability and Statistics Problem 5
Probability and Statistics Problem 6
Probability and Statistics Problem 7
Probability and Statistics Problem 8
Complex Numbers
Introduction
Definition
Definition Example
Definition Formulas 1
Definition Formulas Example
Definition Formulas 2
Conjugate
Plotting Complex Numbers in the Plane
Complex Number - Absolute Value
Complex Number - Absolute Value Example
Complex Numbers Problem 1
Complex Numbers Problem 2
Complex Numbers Problem 3
Complex Numbers Problem 4
Complex Numbers Problem 5
Complex Numbers Problem 6
Complex Numbers Problem 7
Complex Numbers Problem 8
Complex Numbers Problem 9
Complex Numbers Problem 10
Trigonometry
Trigonometry Introduction 1
Trigonometry Introduction 2
Trigonometric Formulas You Must Know
Trigonometric Formulas You Must Know Example 1
Trigonometric Formulas You Must Know Example 2
Trigonometric Identities You Should Be Familiar With 1
Trigonometric Identities You Should Be Familiar With Example
Trigonometric Identities You Should Be Familiar With 2
Trigonometric Identities You Should Be Familiar With 3
Formulas for Solving Non-right Triangles - Law of Cosines
Formulas for Solving Non-right Triangles - Law of Cosines Example
Formulas for Solving Non-right Triangles - Law of Sines
Trigonometric Values for Special Angles
Trigonometric Values for Special Angles Example
Trigonometry Problem 1
Trigonometry Problem 2
Trigonometry Problem 3
Trigonometry Problem 4
Trigonometry Problem 5
Trigonometry Problem 6
Miscellaneous Problems
Miscellaneous Problems Example 1
Miscellaneous Problems Example 2
Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Miscellaneous Problems
SAT Math Prep Course
By:
Jeff Kolby
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Miscellaneous Problems Example 1
Miscellaneous Problems Example 2
Problem 1
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