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What You Learned Before ..............................1Section 1.1 Solving Simple Equations Activity .......................................................................2 Lesson .......................................................................4Section 1.2 Solving Multi-Step Equations Activity .....................................................................10 Lesson .....................................................................12 Study Help/Graphic Organizer .................16 1.1–1.2 Quiz ............................................................17Section 1.3 Solving Equations with Variables

on Both Sides Activity .....................................................................18 Lesson ....................................................................20 1.3b Solving Absolute Value Equations .........24Section 1.4 Rewriting Equations and Formulas Activity ....................................................................26 Lesson ....................................................................28 1.3–1.4 Quiz ..........................................................32 Chapter Review.................................................33 Chapter Test .......................................................36 Standardized Test Practice .......................37

“I love my math book. It has so many interesting examples and homework problems. I have always liked math, but I didn’t know how

it could be used. Now I have lots of ideas.”

11Solving Linear Equations

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What You Learned Before ...........................41Section 2.1 Graphing Linear Equations Activity ....................................................................42 Lesson ....................................................................44Section 2.2 Slope of a Line Activity ....................................................................48 Lesson ....................................................................50 2.2b Slopes of Parallel and .................................56 Perpendicular LinesSection 2.3 Graphing Linear Equations in

Slope-Intercept Form Activity ....................................................................58 Lesson ....................................................................60Section 2.4 Graphing Linear Equations

in Standard Form Activity ....................................................................64 Lesson ....................................................................66 Study Help/Graphic Organizer ................70 2.1–2.4 Quiz ..........................................................71Section 2.5 Writing Equations in

Slope-Intercept Form Activity ....................................................................72 Lesson ....................................................................74Section 2.6 Writing Equations in Point-Slope Form Activity ....................................................................78 Lesson ....................................................................80 2.6b Writing Equations of Parallel ....................84

and Perpendicular LinesSection 2.7 Solving Real-Life Problems Activity ....................................................................86 Lesson ....................................................................88 2.5–2.7 Quiz .........................................................92 Chapter Review.................................................93 Chapter Test .......................................................98 Standardized Test Practice .......................99

Section

Section

2

Section

Graphing and Writing Linear Equations

“I like starting each new lesson with a partner activity. I just moved

to this school and the activities helped me make friends.”

22

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What You Learned Before ........................103Section 3.1 Writing and Graphing Inequalities Activity ..................................................................104 Lesson ..................................................................106Section 3.2 Solving Inequalities Using Addition

or Subtraction Activity ...................................................................110 Lesson ...................................................................112Section 3.3 Solving Inequalities Using

Multiplication or Division Activity ...................................................................116 Lesson ...................................................................118 Study Help/Graphic Organizer ..............124 3.1–3.3 Quiz .......................................................125Section 3.4 Solving Multi-Step Inequalities Activity ..................................................................126 Lesson ..................................................................128 3.4b Solving Compound Inequalities ............132Section 3.5 Graphing Linear Inequalities

in Two Variables Activity ..................................................................136 Lesson ..................................................................138 3.4–3.5 Quiz ......................................................144 Chapter Review...............................................145 Chapter Test .....................................................148 Standardized Test Practice .....................149

x

Chapter Test .....Standardized Te

“I like having the book on the Internet. The online tutorials help me with my homework when I get

stuck on a problem.”

Solving Linear Inequalities

33

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What You Learned Before ........................153Section 4.1 Solving Systems of Linear Equations

by Graphing Activity ..................................................................154 Lesson ..................................................................156Section 4.2 Solving Systems of Linear Equations

by Substitution Activity ..................................................................160 Lesson ..................................................................162 Study Help/Graphic Organizer ..............166 4.1– 4.2 Quiz .......................................................167Section 4.3 Solving Systems of Linear Equations

by Elimination Activity ..................................................................168 Lesson ..................................................................170Section 4.4 Solving Special Systems of

Linear Equations Activity ..................................................................176 Lesson ..................................................................178 4.4b Solving Linear Equations ..........................182

by GraphingSection 4.5 Systems of Linear Inequalities Activity ..................................................................184 Lesson ..................................................................186 4.3–4.4 Quiz ......................................................192 Chapter Review...............................................193 Chapter Test .....................................................196 Standardized Test Practice .....................197

Section 4.

Solving Systems of Linear Equations

“I love the cartoons. They are funny and they help me

remember the math. I want to be a cartoonist some day.”

44

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What You Learned Before ........................201Section 5.1 Domain and Range of a Function Activity .................................................................202 Lesson .................................................................204 5.1b Relations and Functions...........................208Section 5.2 Discrete and Continuous Domains Activity ..................................................................210 Lesson ..................................................................212Section 5.3 Linear Function Patterns Activity ..................................................................216 Lesson ..................................................................218 Study Help/Graphic Organizer .............222 5.1–5.3 Quiz ......................................................223Section 5.4 Function Notation Activity .................................................................224 Lesson .................................................................226 5.4b Special Functions .........................................232Section 5.5 Comparing Linear and Nonlinear

Functions Activity .................................................................236 Lesson .................................................................238Section 5.6 Arithmetic Sequences Activity .................................................................242 Lesson .................................................................244 5.4–5.6 Quiz .....................................................250 Chapter Review...............................................251 Chapter Test ....................................................254 Standardized Test Practice ....................255

CS

Linear Functions

“I like how I can click on the words in the book that is online and hear

them read to me. I like to pronounce words correctly, but

sometimes I don’t know how to do that by just reading the words.”

55

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What You Learned Before .......................259Section 6.1 Properties of Square Roots Activity .................................................................260 Lesson .................................................................262 6.1b Real Number Operations .........................266Section 6.2 Properties of Exponents Activity .................................................................268 Lesson .................................................................270Section 6.3 Radicals and Rational Exponents Activity .................................................................276 Lesson .................................................................278 Study Help/Graphic Organizer .............282 6.1 – 6.3 Quiz .....................................................283Section 6.4 Exponential Functions Activity .................................................................284 Lesson .................................................................286 6.4b Solving Exponential Equations .............292Section 6.5 Exponential Growth Activity .................................................................294 Lesson .................................................................296Section 6.6 Exponential Decay Activity .................................................................300 Lesson .................................................................302Section 6.7 Geometric Sequences Activity .................................................................306 Lesson .................................................................308 6.7b Recursively Defi ned Sequences ...........312 6.4– 6.7 Quiz ......................................................316 Chapter Review...............................................317 Chapter Test ....................................................322 Standardized Test Practice ....................323

Section 6.

Section 6.

6.7

Exponential Equations and Functions

“I really liked the projects at the end of the book. The art project on symmetry in photos was my favorite. Someday I would like

to study photography.”

66

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What You Learned Before ....................... 327Section 7.1 Polynomials Activity .................................................................328 Lesson .................................................................330Section 7.2 Adding and Subtracting Polynomials Activity .................................................................334 Lesson .................................................................336Section 7.3 Multiplying Polynomials Activity .................................................................340 Lesson .................................................................342Section 7.4 Special Products of Polynomials Activity .................................................................348 Lesson .................................................................350 Study Help/Graphic Organizer .............354 7.1–7.4 Quiz.......................................................355Section 7.5 Solving Polynomial Equations

in Factored Form Activity .................................................................356 Lesson .................................................................358Section 7.6 Factoring Polynomials Using the GCF Activity .................................................................362 Lesson .................................................................364Section 7.7 Factoring x 2 + bx + c Activity .................................................................368 Lesson .................................................................370Section 7.8 Factoring ax 2 + bx + c Activity .................................................................376 Lesson .................................................................378Section 7.9 Factoring Special Products Activity .................................................................382 Lesson .................................................................384 7.9b Factoring Polynomials Completely ....388 7.5–7.9 Quiz ......................................................390 Chapter Review...............................................391 Chapter Test ....................................................396 Standardized Test Practice ....................397

Polynomial Equations and Factoring

“I like how the glossary in the book is part of the index. When I couldn’t remember how a vocabulary word was defi ned, I

could go to the index and fi nd where the word was defi ned in the book.”

77

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What You Learned Before ........................401Section 8.1 Graphing y = ax 2

Activity .................................................................402 Lesson .................................................................404Section 8.2 Focus of a Parabola Activity ..................................................................410 Lesson ..................................................................412Section 8.3 Graphing y = ax 2 + c Activity ..................................................................416 Lesson ..................................................................418 Study Help/Graphic Organizer .............422 8.1–8.3 Quiz ......................................................423Section 8.4 Graphing y = ax 2 + bx + c Activity .................................................................424 Lesson .................................................................426 8.4b Graphing y = a(x − h)2 + k .....................432Section 8.5 Comparing Linear, Exponential,

and Quadratic Functions Activity .................................................................434 Lesson .................................................................436 8.5b Comparing Graphs of Functions .........442 8.4 – 8.5 Quiz ....................................................444 Chapter Review..............................................445 Chapter Test ....................................................448 Standardized Test Practice ....................449

“I like the practice tests in the book and online. I get really

nervous on tests. So, having a practice test to work on at home helped me to chill out when the

real test came.”

Graphing Quadratic Functions

88

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What You Learned Before .......................453Section 9.1 Solving Quadratic Equations by Graphing Activity .................................................................454 Lesson .................................................................456Section 9.2 Solving Quadratic Equations

Using Square Roots Activity .................................................................462 Lesson .................................................................464Section 9.3 Solving Quadratic Equations

by Completing the Square Activity .................................................................468 Lesson .................................................................470 Study Help/Graphic Organizer .............474 9.1–9.3 Quiz ......................................................475Section 9.4 Solving Quadratic Equations

Using the Quadratic Formula Activity .................................................................476 Lesson .................................................................478 9.4b Choosing a Solution Method .................484Section 9.5 Solving Systems of Linear

and Quadratic Equations Activity .................................................................486 Lesson .................................................................488 9.4–9.5 Quiz .....................................................492 Chapter Review..............................................493 Chapter Test ....................................................496 Standardized Test Practice ....................497

“I like the review at the beginning of each chapter. This book has examples to help me remember things from last year. I don’t like it when the review is

just a list of questions.”

“I leacto hyea

Solving Quadratic Equations

99

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What You Learned Before ........................501Section 10.1 Graphing Square Root Functions Activity .................................................................502 Lesson .................................................................504 10.1b Rationalizing the Denominator ............508Section 10.2 Solving Square Root Equations Activity ..................................................................510 Lesson ..................................................................512 Study Help/Graphic Organizer ..............518 10.1–10.2 Quiz ...................................................519Section 10.3 The Pythagorean Theorem Activity .................................................................520 Lesson .................................................................522Section 10.4 Using the Pythagorean Theorem Activity .................................................................526 Lesson .................................................................528 10.3 – 10.4 Quiz ................................................532 Chapter Review..............................................533 Chapter Test ....................................................536 Standardized Test Practice .................... 537

Square Root Functions and Geometry

Stand

“I like that the student book is available on my tablet. Now, I

always have my book!”

1010

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What You Learned Before ........................541Section 11.1 Direct and Inverse Variation Activity .................................................................542 Lesson .................................................................544Section 11.2 Graphing Rational Functions Activity .................................................................550 Lesson .................................................................552 11.2b Inverse of a Function ..................................558Section 11.3 Simplifying Rational Expressions Activity .................................................................560 Lesson .................................................................562 Study Help/Graphic Organizer .............566 11.1–11.3 Quiz ....................................................567Section 11.4 Multiplying and Dividing Rational

Expressions Activity .................................................................568 Lesson .................................................................570Section 11.5 Dividing Polynomials Activity .................................................................574 Lesson .................................................................576Section 11.6 Adding and Subtracting Rational

Expressions Activity .................................................................580 Lesson .................................................................582Section 11.7 Solving Rational Equations Activity .................................................................588 Lesson .................................................................590 11.4–11.7 Quiz ....................................................594 Chapter Review..............................................595 Chapter Test ....................................................600 Standardized Test Practice .....................601

Rational Equations and Functions

“I like that the book teaches me to think. At fi rst I just wanted

someone to tell me how. Now I discover it!”

1111

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“I like the workbook (Record and Practice Journal). It saved me a lot of work to not have to copy all the

questions and graphs.”

Section A.1 Literature Project ............................................A2Section A.2 History Project .................................................. A4Section A.3 Art Project ........................................................... A6Section A.4 Science Project ................................................ A8

Selected Answers ..................................................................A10Key Vocabulary Index .......................................................A65Student Index ..........................................................................A66Mathematics Reference Sheet ..................................B1

Appendix A: My Big Ideas Projects

1212 What You Learned Before .......................605Section 12.1 Measures of Central Tendency Activity .................................................................606 Lesson .................................................................608Section 12.2 Measures of Dispersion Activity ..................................................................612 Lesson ..................................................................614Section 12.3 Box-and-Whisker Plots Activity ..................................................................618 Lesson .................................................................620Section 12.4 Shapes of Distributions Activity .................................................................626 Lesson .................................................................628 Study Help/Graphic Organizer .............634 12.1–12.4 Quiz ...................................................635Section 12.5 Scatter Plots and Lines of Fit Activity .................................................................636 Lesson .................................................................638Section 12.6 Analyzing Lines of Fit Activity .................................................................644 Lesson .................................................................646Section 12.7 Two-Way Tables Activity .................................................................652 Lesson .................................................................654Section 12.8 Choosing a Data Display Activity .................................................................658 Lesson .................................................................660 12.5–12.8 Quiz ..................................................664 Chapter Review..............................................665 Chapter Test ....................................................670 Standardized Test Practice .....................671

Data Analysis and Displays

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