BOOK 1

INTRODUCTION TO FUNCTIONS

102 pages

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CONTENTS​

Comparing Independent and Dependent Quantities

Representing a Function with an Equation or a Graph

Increasing, Decreasing or Constant

The Domain and Range of a Function

More Scenarios that Involve Functions

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BOOK 2

LINEAR FUNCTIONS & TREND LINES​

116 pages

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CONTENTS​

Plotting Points

Slope

Slope-Intercept Form

Standard Form

Point-Slope Form

An Introduction to Trend Lines

Vertical and Horizontal Lines

Linear Inequalities

BOOK 3

QUADRATIC EQUATIONS & PARABOLAS

126 pages

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CONTENTS

Introduction to Quadratic Functions

Factoring Review

Review Radical Expressions

Imaginary Numbers

Quadratic Equations

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations with the Quadratic Formula

The Vertex of a Parabola

Graphing a Parabola

Scenarios that Involve Quadratic Functions

Quadratic Inequalities

BOOK 4

RATIONAL EXPRESSIONS & EQUATIONS

102 pages

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​CONTENTS

Introduction to Rational Expressions

Using a Disguised Form of 1

Simplifying Rational Expressions

Multiplying Rational Expressions

Dividing Rational Expressions

Adding and Subtracting Rational Expressions

Equations with Rational Expressions

Extraneous Solutions

BOOK 5

RATES: MOTION, WORK & INTEREST

104 pages

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​CONTENTS

Introduction to Rates Scenarios

Rates and Their Reciprocals

Scenarios Involving Work Rates and Combined Work

Scenarios Involving Motion

Calculating Average Speed

Scenarios Involving Interest Rates

BOOK 6

LINEAR & NONLINEAR SYSTEMS OF EQUATIONS

108 pages

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CONTENTS

Review Graphing Systems, Substitution and Elimination

Scenarios Involving Linear Systems

Systems of Linear Inequalities

Nonlinear Systems

Systems with 3 Variables

Writing the Equation for a Parabola, Given 3 Points

BOOK 7

EXPONENTIAL FUNCTIONS

110 pages

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CONTENTS

Introduction to Exponential Patterns

Exponential Sequences

Connecting Exponential Growth and Percent Changes

Exponential Decay

Exponential Functions

Writing an Exponential Function, Given 2 Points

Graphs of Exponential Functions

More Exponential Scenarios

BOOK 8

THE PYTHAGOREAN THEOREM & SPECIAL RIGHT TRIANGLES

114 pages

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CONTENTS

The Pythagorean Theorem

The Distance Between Two Points

The Distance Formula

Dividing a Square to Make a Special Right Triangle

The 45-45-90 Triangle

Dividing an Equilateral Triangle to Make a Special Right Triangle

The 30-60-90 Triangle

Right Triangle Scenarios