SAT Math Prep Course

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

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

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 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 Example 2

Geometry Triangles 7

Geometry Quadrilaterals 1

Geometry Quadrilaterals Example

Geometry Quadrilaterals 2

Geometry Quadrilaterals 3

Geometry Volume

Geometry Volume Example

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

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

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

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

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 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

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

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

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

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

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

Defined Functions Example 9

SAT Math Prep Course Defined Functions

By: Jeff Kolby

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Defined Functions Example 9

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