SpringBoard Algebra 1

ISBN: 9781457301513
Author: College Board
Published: 2015

Chapters: 12345678910111213141516171819202122232425262728293031323334353637383940

Chapter 1

Investigating Patterns – Cross-Country Adventures

 1-1 Numeric and Graphic Representations of Data Getting Ready p.2 Exercises p.3 1-2 Writing Expressions Exercises p.8 Activity 1 Practice p.14

Chapter 2

Solving Equations: What's My Number?

 2-1 Writing and Solving Equations Exercises p.15 2-2 Equations with Variables on Both Sides Exercises p.19 2-3 Solving More Complex Equations Exercises p.22 2-4 Equations with No Solution or Infinitely Many Solutions Exercises p.25 2-5 Solving Literal Equations for a Variable Exercises p.29 Activity 2 Practice p.31 Patterns and Equations p.33

Chapter 3

Solving Inequalities: Physical Fitness Zones

 3-1 Inequalities and Their Solutions Exercises p.35 3-2 Solving Inequalities Exercises p.38 3-3 Compound Inequalities Exercises p.43 Activity 3 Practice p.47

Chapter 4

Absolute Value Equations And Inequalities: Student Distances

 4-1 Absolute Value Equations Exercises p.49 4-2 Absolute Value Inequalities Exercises p.54 Activity 4 Practice p.59 Embedded Assessment 2 p.61

Chapter 5

Functions And Function Notation: Vending Machines

 5-1 Reations and Functions Getting Ready p.64 Exercises p.65 5-2 Domain and Range Exercises p.71 5-3 Function Notation Exercises p.76 Activity 5 Practice p.79

Chapter 6

Inerpreting Graphs Of Functions: Shake, Rattle, And …

 6-1 Key Features and Graphs Exercises p.82 6-2 More Complex Graphs Exercises p.87 6-3 Graphs of Real-World Situations Exercises p.92 Activity 6 Practice p.95

Chapter 7

Graphs Of Functions: Experiment Experiences

 7-1 The Spring Experiment Exercises p.97 7-2 The Falling Object Experiment Exercises p.101 7-3 The Radioactive Decay Experiment Exercises p.105 Activity 7 Practice p.109

Chapter 8

Transformations Of Functions: Transformers

 8-1 Exploring f(x)+k Exercises p.111 8-2 Exploring f(x+k) Exercises p.115 Activity 8 Practice p.119 Representations of Functions p.121

Chapter 9

Rates Of Change: Ramp It Up

 9-1 Slope Exercises p.123 9-2 Slope and Rate of Change Exercises p.129 9-3 More About Slopes Exercises p.133 Activity 9 Practice p.137

Chapter 10

Linear Models: Stacking Boxes

 10-1 Direct Variation Exercises p.139 10-2 Indirect Variation Exercises p.144 10-3 Another Linear Model Exercises p.148 10-4 Inverse Functions Exercises p.152 Activity 10 Practice p.157

Chapter 11

Arithmetic Sequences: Picky Patterns

 11-1 Identifying Arithmetic Sequences Exercises p.159 11-2 A Formula for Arithmetic Sequences Exercises p.162 11-3 Arithmetic Sequences as Functions Exercises p.166 11-4 Recursive Formulas Exercises p.168 Activity 11 Practice p.171 Text Message Plans p.173

Chapter 12

Forms Of Linear Functions: Under Pressure

 12-1 Slope-Intercept Form Exercises p.175 12-2 Point-Slope Form Exercises p.180 12-3 Standard Form Exercises p.183 12-4 Slopes of Parallel and Perpendicular Lines Exercises p.187 Activity 12 Practice p.191

Chapter 13

Equations From Data: Pass The Book

 13-1 Scatter Plots and Trend Lines Exercises p.193 13-2 Linear Regression Exercises p.197 13-3 Quadratic and Exponential Regressions Exercises p.200 Activity 13 Practice p.205 A 10K Run p.207

Chapter 14

Piecewise-Defined Linear Functions

 14-1 Function Notation and Rate of Change Getting Ready p.210 Exercises p.211 14-2 Writing Functions and Finding Domain and Range Exercises p.215 14-3 Evaluating Functions and Graphing Piecewise-Defined Linear Functions Exercises p.219 14-4 Comparing Functons Exercises p.221 Activity 14 Practice p.225

Chapter 15

Comparing Equations: A Tale Of A Trucker

 15-1 Writing Equations from Graphs and Tables Exercises p.227 15-2 Comparing Functions and Inequalities Exercises p.231 15-3 Writing Equations from Verbal Descriptions Exercises p.235 Activity 15 Practice p.237

Chapter 16

Inequalities In Two Variables: Shared Storage

 16-1 Writing and Graphing Inequalities in Two Variables Exercises p.239 16-2 Graphing Inequalities in Two Variables Exercises p.243 Activity 16 Practice p.247 Earnings on a Graph p.249

Chapter 17

Solviong Systems Of Linear Equations: A Tale …

 17-1 The Graphing Method Exercises p.251 17-2 Using Tables and the Substition Methiod Exercises p.256 17-3 The Elimination Method Exercises p.262 17-4 Systems Without a Unique Solution Exercises p.264 17-5 Classifying Systems of Equations Exercises p.267 Activity 17 Practice p.271

Chapter 18

Solving Systems Of Linear Inequalities: Which Region …

 18-1 Representing the Solution of a System of Inequalities Exercises p.273 18-2 Interpreting the Solution of a System of Inequalities Exercises p.278 Activity 18 Practice p.281 Tilt the Scales p.283

Chapter 19

Exponent Rules: Icebergs And Exponents

 19-1 Basic Exponent Properties Exercises p.287 19-2 Negative and Zero Powers Exercises p.291 19-3 Additional Properties of Exponents Exercises p.294 Activity 19 Practice p.297

Chapter 20

Operations With Radicals: Go Fly A Kite

 20-1 Radical Expressions Exercises p.299 20-2 Adding and Subtracting Radical Expressions Exercises p.305 20-3 Multiplying and Dividing Radical Expressions Exercises p.307 Activity 20 Practice p.311

Chapter 21

Geometric Sequences

 21-1 Identifying Geometric Sequences Exercises p.313 21-2 Formulas for Geometric Sequences Exercises p.316 Activity 21 Practice p.321 Taking Stock p.323

Chapter 22

Exponential Functions

 22-1 Exponential Functions and Exponential Growth Exercises p.325 22-2 Exponential Decay Exercises p.329 22-3 Graphs of Exponential Functions Exercises p.333 Activity 22 Practice p.337

Chapter 23

Modeling With Exponential Functions

 23-1 Compound Interest Exercises p.341 23-2 Population Growth Exercises p.347 Activity 23 Practice p.351 Family Bonds p.353

Chapter 24

Adding And Subtracting Polynomials

 24-1 Polynomial Terminology Exercises p.355 24-2 Adding Polynomials Exercises p.359 24-3 Subtracting Polynomials Exercises p.365 Activity 24 Practice p.367

Chapter 25

Multiplying Polynomials

 25-1 Multiplying Binomials Exercises p.369 25-2 Special Products of Binomials Exercises p.376 25-3 Multiplying Polynomials Exercises p.379 Activity 25 Practice p.381 Measuring Up p.383

Chapter 26

Factoring

 26-1 Factoring by Greatest Common Factor (GCF) Exercises p.385 26-2 Factoring Special Products Exercises p.388 Activity 26 Practice p.391

Chapter 27

Factoring Trinomials

 27-1 Factoring x^2+bx+c Exercises p.393 27-2 Factoring ax^2+bx+c Exercises p.398 Activity 27 Practice p.401

Chapter 28

Simplifying Rational Expressions

 28-1 Simplifying Rational Expressions Exercises p.405 28-2 Dividing Polynomials Exercises p.410 28-3 Multiplying and Dividing Rational Expressions Exercises p.412 28-4 Adding and Subtracting Rational Expressions Exercises p.416 Activity 28 Practice p.417 Rock Star Demands p.419

Chapter 29

Introduction To Quadratic Functions

 29-1 Modeling with a Quadratic Function Exercises p.423 29-2 Graphing and Analyzing a Quadratic Function Exercises p.427 Activity 29 Practice p.431

Chapter 30

 30-1 Translations of the Quadratic Parent Function Exercises p.433 30-2 Stretching and Shrinking the Quadratic Parent Function Exercises p.440 30-1 Multiple Tranformations of the Quadratic Parent Function Exercises p.444 Activity 30 Practice p.451 Parabolic Paths p.453

Chapter 31

Solving Quadratic Equations By Graphing And Factoring

 31-1 Solving by Graphing or Factoring Exercises p.455 31-2 The Axis of Symmetry and the Vertex Exercises p.459 31-3 Graphing a Quadratic Equation Exercises p.463 Activity 31 Practice p.465

Chapter 32

Algebraic Methods Of Solving Quadratic Equations

 32-1 The Square Root Method Exercises p.467 32-2 Completing the Square Exercises p.473 32-3 The Quadratic Formula Exercises p.476 32-4 Choosing a Method and Using the Discriminant Exercises p.477 32-5 Complex Solutions Exercises p.480 Activity 32 Practice p.483

Chapter 33

 33-1 Fitting Data with a Quadratic Equation Exercises p.485 33-2 Interpreting Solutions of Quadratic Equations Exercises p.488 Activity 33 Practice p.491 Egg Drop p.493

Chapter 34

Modeling With Functions

 34-1 Constructing Models Exercises p.495 34-2 Comparing Models Exercises p.500 34-3 Extending Models Exercises p.503 Activity 34 Practice p.507

Chapter 35

Systems Of Equations

 35-1 Solving a System Graphically Exercises p.509 35-2 Solving a System Algebraically Exercises p.514 Activity 35 Practice p.517 Sports Collector p.519

Chapter 36

Measures Of Center And Spread

 36-1 Mean, Median, Mode, and MAD Exercises p.523 36-2 Another Measure of Variability Exercises p.532 Activity 36 Practice p.536

Chapter 37

Dot And Box Plots And The Normal …

 37-1 Dot Plots and Box Plots Exercises p.537 37-2 Modified Box Plots Exercises p.543 37-3 Normall Distributed Exercises p.548 Activity 37 Practice p.554 Splitting the Bill p.557

Chapter 38

Correlation

 38-1 Scatter Plots Exercises p.559 38-1 Correlation Coefficient Exercises p.564 Activity 38 Practice p.569

Chapter 39

The Best-Fit Line

 39-1 Line of Best Fit Exercises p.571 39-2 Residuals Exercises p.577 39-3 Interpreting the Slope and Intercept of the Best-Fit Line Exercises p.582 39-4 Plotting Residuals Exercises p.588 Activity 39 Practice p.594

Chapter 40

Bivariate Data

 40-1 Bivariate Categorical Data Exercises p.596 40-2 Presenting Relative Frequency Data Graphically Exercises p.600 Activity 40 Practice p.607 Dear Traveling Tooth p.609