# Algebra: The University of Chicago School Mathematics Project

ISBN: 9780673459527
Published: 1998

## Chapters: 12345678910111213

### Chapter 1

Uses Of Variables

 1-1 Variables In Sentences Questions p.8 1-2 Sets And Domains Questions p.14 1-3 Operations With Sets Questions p.20 1-4 Variables in Expressions Questions p.25 1-5 Variables in Formulas Questions p.29 1-6 Square Roots And Variables Questions p.34 1-7 Variables And Patterns Questions p.40 1-8 The Pythagorean Theorem Questions p.48 1-9 Variables From Tables Questions p.56 1-9 Progress Self-Test Progress Self-Test p.63 1-9 Chapter Review Chapter Review p.65 1-9 Refresher Refresher p.69

### Chapter 2

Multiplication In Algebra

 2-1 Areas, Arrays, Volumes Questions p.76 2-2 Special Numbers In Multiplication Questions p.81 2-3 Multiplying Algebraic Fractions Questions p.88 2-4 Multiplying Rates Questions p.93 2-5 Products And Powers With Negative Numbers Questions p.99 2-6 Solving ax = b Questions p.106 2-7 Special Numbers In Equations Questions p.111 2-8 Solving ax < b Questions p.117 2-9 The Multiplication Counting Principle Questions p.122 2-10 Factorials And Permutations Questions p.128 2-10 Progress Self-Test Progress Self-Test p.134 2-10 Chapter Review Chapter Review p.136 2-10 Refresher Refresher p.139

### Chapter 3

 3-1 Models And Properties Of Addition Questions p.145 3-2 More Properties Of Addition Questions p.152 3-3 The Coordinate Plane Questions p.159 3-4 Two Dimensional Slides Question p.166 3-5 Solving ax + b = c Questions p.173 3-6 The Distributive Property And Adding Like Terms Questions p.180 3-7 The Distributive Property And Removing Parantheses Questions p.186 3-8 Writing Linear Equations Questions p.191 3-9 Adding Algebraic Fractions Questions p.197 3-10 Solving ax + b < c Questions p.202 3-10 Progress Self-Test Progress Self-Test p.208 3-10 Chapter Review Chapter Review p.210 3-10 Refresher Refresher p.213

### Chapter 4

Subtraction In Algebra

 4-1 Subtraction Of Real Numbers Questions p.218 4-2 Models Of Subtraction Questions p.224 4-3 Solving Sentences Involving Subtraction Question p.229 4-4 Spreadsheets Questions p.237 4-5 The Opposite Of A Sum Or Difference Questions p.243 4-6 Graphing x + y = k And x – y = k Questions p.249 4-7 Sums And Differences In Geometry Questions p.256 4-8 The Triangle Inequality Questions p.264 4-9 Graphing Linear Patterns Questions p.271 4-9 Progress Self-Test Progress Self-Test p.277 4-9 Chapter Review Chapter Review p.278

### Chapter 5

Linear Sentences

 5-1 Horizontal And Vertical Lines Questions p.288 5-2 Using Tables To Compare Linear Expressions Questions p.294 5-3 Solving ax + b = cx + d Questions p.301 5-4 Using Graphs To Compare Linear Expressions Questions p.306 5-5 Using An Automatic Grapher Questions p.314 5-6 Solving ax + b < cx + d Questions p.320 5-7 Equivalent Formulas Questions p.325 5-8 Advanced Solving Sentences Technique I: Multiplying Through Questions p.330 5-9 Advanced Solving Techniques II: Chunking Questions p.335 5-9 Progress Self-Test Progress Self-Test p.341 5-9 Chapter Review Chapter Review p.343 5-9 Refresher Refresher p.347

### Chapter 6

Divisions In Algebra

 6-1 The Algebraic Definition Of Division Questions p.353 6-2 Rates Questions p.359 6-3 Ratios Questions p.365 6-4 Relative Frequency And Probability Questions p.373 6-5 Solving Percent Problems Using Equations Questions p.378 6-6 Probability Without Counting Questions p.383 6-7 Size Changes Questions p.391 6-8 Proportions Questions p.397 6-9 Similar Figures Questions p.404-407 6-9 Progress Self-Test Progress Self-Test p.411 6-9 Chapter Review Chapter Review p.412

### Chapter 7

Slopes And Lines

 7-1 Rates Of Change Questions p.421 7-2 The Slope Of A Line Questions p.428 7-3 Properties Of Slope Questions p.436 7-4 Slope-Intercept Equations For Lines Questions p.442 7-5 Equations For Lines With A Given Point And Slope Questions p.447 7-6 Equations For Lines Through Two Points Questions p.453 7-7 Fitting A Line To Data Questions p.460 7-8 Equations For All Lines Questions p.466 7-9 Graphing Linear Inequalities Questions p.472 7-9 Progress Self-Test Progress Self-Test p.479 7-9 Chapter Review Chapter Review p.480

### Chapter 8

Exponents And Powers

 8-1 Compound Interest Questions p.489 8-2 Exponential Growth Questions p.495 8-3 Comparing Constant Increase And Exponential Growth Questions p.501 8-4 Exponential Decay Questions p.507 8-5 Products And Powers Of Powers Questions p.513 8-6 Negative Exponents Questions p.518 8-7 Quotients Of Powers Questions p.524 8-8 Powers Of Products And Quotients Questions p.530 8-9 Remembering Properties Of Exponents And Powers Questions p.536 8-9 Progress Self-Test Progress Self-Test p.542 8-9 Chapter Review Chapter Review p.543

### Chapter 9

 9-1 Graphing y = ax^2 Questions p.551 9-2 Graphing y = ax^2 + bx + c Questions p.558 9-3 Graphing Parabolas With An Automatic Grapher Questions p.564 9-4 Quadratic Equations And Projectiles Questions p.570 9-5 The Quadratic Formula Questions p.576 9-6 Analyzing Solutions To Quadratic Equations Questions p.583 9-7 Square Roots And Products Questions p.590 9-8 Absolute Value, Distance, And Square Roots Questions p.597 9-9 Distance In Planes Questions p.602 9-9 Progress Self-Test Progress Self-Test p.609 9-9 Chapter Review Chapter Review p.610

### Chapter 10

Polynomials

 10-1 What Are Polynomials? Questions p.618 10-2 Investments And Polynomials Questions p.624 10-3 Multiplying A Polynomial By A Monomial Questions p.630 10-4 Multiplying Polynomials Questions p.636 10-5 Multiplying Binomials Questions p.643 10-6 Special Binomial Products Questions p.649 10-7 The Chi-Square Stastics Questions p.655 10-7 Progress Self-Test Progress Self-Test p.660 10-7 Chapter Review Chapter Review p.661

### Chapter 11

Linear Systems

 11-1 An Introduction To Systems Questions p.668 11-2 Solving Systems Using Substitution Questions p.674 11-3 More Uses Of Substitutions Questions p.679 11-4 Solving Systems By Additions Questions p.684 11-5 Solving Systems By Multiplication Questions p.690 11-6 Systems And Parallel Lines Questions p.696 11-7 Situations Which Always Or Never Happen Questions p.701 11-8 System Of Inequalities Questions p.708 11-8 Progress Self-Test Progress Self-Test p.714 11-8 Chapter Review Chapter Review p.715

### Chapter 12

Factoring

 12-1 Factoring Integers Into Primes Questions p.724 12-2 Common Monomial Factoring Questions p.729 12-3 Factoring x^2 + bx + c Questions p.736 12-4 Solving Some Quadratic Equations By Factoring Questions p.741 12-5 Factoring ax^2 + bx + c Questions p.746 12-6 How Was The Quadratic Formula Found? Questions p.751 12-7 Rational Numbers And Irrational Numbers Questions p.757 12-8 Which Quadratic Expressions Are Factorable? Questions p.763 12-8 Progress Self-Test Progress Self-Test p.768 12-8 Chapter Review Chapter Review p.769

### Chapter 13

Functions

 13-1 What Is A Function? Questions p.776 13-2 Function Notation Questions p.781 13-3 Absolute Value Functions Questions p.787 13-4 Domain And Range Questions p.792 13-5 Probability Functions Questions p.797 13-6 Polynomial Functions Questions p.803 13-7 The Tangent Function Questions p.810 13-8 Functions On Calculators And Computers Questions p.814 13-8 Progress Self-Test Progress Self-Test p.820 13-8 Chapter Review Chapter Review p.821