ACT Math Prep Course

About This Course

About This Course 1

Preview

About This Course 2

Verbal - English Test

Verbal - Reading Test

Verbal - Writing Test

Skipping and Guessing

The '2 out of 4' Rule

Questions and Answers 1

Questions and Answers 2

Math Orientation

Math Orientation - Format

Preview

Scoring the Math Section

Calculators

Skipping and Guessing

The Structure of this Part of the Course

Directions and Reference Material 1

Directions and Reference Material 2

Substitution - Plugging In

Preview

Substitution - Plugging In Example

Substitution Plugging In Problem 1

Substitution Plugging In Problem 2

Substitution Plugging In Problem 3

Substitution Plugging In Problem 4

Substitution Plugging In Problem 5

Substitution Plugging In Problem 6

Math Notes 9 Example 1

Math Notes 14 Example 2

Math Notes Problem 10

Number Theory

Number Theory 1

Preview

Number Theory 2 Example 1

Preview

Number Theory 3

Number Theory 4

Number Theory 5 Example 2

Number Theory 20 Example 3

Number Theory 20 Example 4

Number Theory 20 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

Lines and Angles 5 Example 1

Lines and Angles 6 Example 2

Quadrilaterals Example

Shaded Regions Example 1

Shaded Regions Example 2

'Birds-Eye' View

'Birds-Eye' View Example

Geometry Part 2

Extreme Cases

Extreme Cases Example 1

Extreme Cases Example 2

Eye-Balling

Eye-Balling Example 1

Eye-Balling Example 2

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

Coordinate Geometry Problem 11

Coordinate Geometry Problem 12

Coordinate Geometry Problem 13

Coordinate Geometry Problem 14

Coordinate Geometry Problem 15

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

Elimination Strategies Problem 6

Elimination Strategies Problem 7

Elimination Strategies Problem 8

Elimination Strategies Problem 9

Inequalities

Inequalities Introduction 1

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

Inequalities Problem 10

Inequalities Problem 11

Inequalities Problem 12

Inequalities Problem 13

Inequalities Problem 14

Fractions

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 Properties of Equations 1

Equations Properties of Equations 2

Solving for Expressions

Solving for Expressions Example

'Triple' Equations

'Triple' Equations Example

Equations Adding Equations

Equations Adding Equations Example

Equations Method of Substitution

Proportion - Introduction

Direct Proportion

Direct Proportion Example

Direct Proportion Word Problems

Direct Proportion Word Problems Example 1

Direct Proportion Word Problems Example 2

Proportion Order

Inverse Proportion

Inverse Proportion Word Problems

Inverse Proportion Word Problems Example

Summary

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

Ratio and Proportion Problem 10

Exponents and Roots

Exponents Introduction

Preview

Exponents The Rules 1

Exponents The Rules 2

Exponents The Rules Example 1

Exponents The Rules Example 2

Exponents The Rules Example 3

Rationalizing Example 1

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

Exponents and Roots Problem 10

Exponents and Roots Problem 11

Exponents and Roots Problem 12

Distributive Rule Example 1

Distributive Rule Example 2

Difference of Squares

Difference of Squares Example

Perfect Square Trinomials

Perfect Square Trinomials Example

General Trinomials

General Trinomials Example

Algebraic Expressions

Introduction

Preview

Adding and Subtracting

Commutative Property

Associative Property

Associative Property examples

Parentheses

Order of Operations - PEMDAS

Order of Operations - PEMDAS - Example

FOIL Multiplication

FOIL Multiplication Examples

Division

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

Algebraic Expressions Problem 11

Word Problems

Word Problems Translating Words into Mathematical Symbols 1

Word Problems Translating Words into Mathematical Symbols 2

Guidlines for Solving Word Problems 1

Guidlines for Solving Word Problems 2

Guidlines for Solving Word Problems 3

Motion Problems - Overtake

Motion Problems - Overtake - Example

Motion Problems - Opposite Directions

Motion Problems - Opposite Directions - Example

Motion Problems - Round Trip

Motion Problems - Round Trip - Example

Motion Problems - Compass Headings

Motion Problems - Compass Headings - Example

Motion Problems - Circular Motion

Motion Problems - Circular Motion - Example 1

Motion Problems - Circular Motion - Example 2

Work Problems

Work Problems Example 1

Work Problems Example 2

Mixture Problems

Mixture Problems Example

Coin Problems

Coin Problems Example

Age Problems

Age Problems Example

Interest Problems

Interest Problems Example

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

Functions

Definition of a Function 1

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

Logarithms

Definition

Definition - Examples

Logs and Properties of Exponents

Pop Quiz

Properties of Logs

Properties of Logs Examples 1

Properties of Logs Examples 2

Properties of Logs Examples 3

Properties of Logs Examples 4

Solving Exponential Equations by Using Logs

Solving Exponential Equations by Using Logs Example

Solving Exponential Equations by Using Logs Example (continued)

Graphs of Logarithmic Functions 1

Graphs of Logarithmic Functions 2

Graphs of Logarithmic Functions 3

Graphs of Logarithmic Functions 4

Graphs of Logarithmic Functions 5

Graphs of Exponential Functions 1

Graphs of Exponential Functions 2

Logarithms Problem 10

The Zero Matrix and Scalar Multiplication

Multiplying Matrices 1

Multiplying Matrices 2

Applications of Matrices

Trigonometry Introduction

Trigonometry Introduction 2

Trigonometric Formulas You Must Know

Example 1

Example 2

Trigonometric Identities You Should Be Familiar With 1

Example 3

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

Example 4

Formulas for Solving Non-right Triangles - Law of Sines

Trigonometric Values for Special Angles

Example 5

Trigonometry Problem 1

Trigonometry Problem 2

Trigonometry Problem 3

Trigonometry Problem 4

Trigonometry Problem 5

Trigonometry Problem 6

Range

ACT Math Prep Course Probability and Statistics

By: Jeff Kolby

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