# Mathematical Connections: A Bridge to Algebra and Geometry

ISBN: 9780618073856
Author: Holt McDougal
Published: 2001

## Chapters: 123456789101112

### Chapter 1

Connecting Arithmetic And Algebra

 1-1 Variables and Variable Equations Guided Practice p.5 Exercises p.5 1-2 Addition and Subtraction Expressions Guided Practice p.8 Exercises p.9 1-3 Multiplication and Division Expressions Guided Practice p.12 Exercises p.13 1-4 Problem Solving: Reading for Understanding Guided Practice p.15 Problem Solving Situations p.16 Self-Test 1 p.17 1-5 The Comparison Property Guided Practice p.19 Exercises p.20 1-6 Properties of Addition Guided Practice p.23 Exercises p.24 1-7 Properties of Multiplication Guided Practice p.26 Exercises p.27 1-8 Decision Making: Choosing the Most Efficient Method of Computation Guided Practice p.28 Exercises p.29 1-9 Exponents Guided Practice p.31 Exercises p.32 1-10 Order of Operations Exercises p.38 Guided Practice p.38 Self-Test 2 p.39 Chapter 1 Review p.40 Chapter Test p.42 Cumulative Review p.44

### Chapter 2

Introduction To Algebra

 2-1 Simplifying Multiplication Expressions Guided Practice p.49 Exercises p.50 2-2 The Distributive Property Guided Practice p.53 Exercises p.54 2-3 Combining Like Terms Guided Practice p.57 Exercises p.57 Self Test 1 p.58 2-4 Problem Solving: Using a Four-Step Plan Guided Practice p.60 Problem Solving Situations p.60 2-5 Patterns Guided Practice p.63 Exercises p.64 2-6 Functions Guided Practice p.67 Exercises p.68 2-7 Problem Solving: Checking the Answer Guided Practice p.71 Problem Solving Situations p.72 Self Test 2 p.73 2-8 Decision Making: Finding an Estimate or an Exact Answer Guided Practice p.74 Exercises p.75 2-9 The Metric System of Measurement Guided Practice p.77 Exercises p.77 2-10 Scientific Notation Guided Practice p.81 Exercises p.82 Self Test 3 p.83 Chapter Review p.86 Chapter Test p.88 Cumulative Review p.90

### Chapter 3

Integers

 3-1 Integers on a Number Line Guided Practice p.95 Exercises p.96 3-2 Adding Integers with the Same Sign Guided Practice p.99 Exercises p.100 3-3 Adding Integers with Different Signs Guided Practice p.102 Exercises p.103 3-4 Subtracting Integers Guided Practice p.108 Exercises p.109 3-5 Multiplying and Dividing Integers Guided Practice p.112 Exercises p.113 Self Test 1 p.114 3-6 Evaluating Expressions Involving Integers Guided Practice p.116 Exercises p.116 3-7 Problem Solving: Making a Table Problem Solving Situations p.120 Guided Practice p.120 3-8 The Coordinate Plane Guided Practice p.125 Exercises p.126 3-9 Graphing Functions Guided Practice p.129 Exercises p.130 Self Test 2 p.131 Chapter Review p.134 Chapter Review p.135 Chapter Test p.136 Cumulative Review p.138 Chapter Review p.180

### Chapter 4

Equations

 4-1 Equations Guided Practice p.143 Exercises p.144 4-2 Problem Solving: Guess and Check Problem Solving Situations p.146 Guided Practice p.146 4-3 Using Addition or Subtraction Guided Practice p.149 Exercises p.150 4-4 Using Multiplication or Division Guided Practice p.152 Exercises p.153 Self Test 1 p.154 4-5 Two-Step Equations Guided Practice p.157 Exercises p.158 4-6 Writing Variable Expressions Exercises p.163 Guided Practice p.163 4-7 Writing Equations Exercises p.166 Guided Practice p.166 4-8 Problem Solving: Using Equations Problem Solving Situations p.169 Guided Practice p.169 Self Test 2 p.171 4-9 More Equations Exercises p.173 Guided Practice p.173 4-10 Formulas Guided Practice p.176 Exercises p.177 Self Test 3 p.179 Chapter Test p.182 Exercises p.183 Cumulative Review p.184

### Chapter 5

Graphs And Data Analysis

 5-1 Pictographs Guided Practice p.189 5-2 Interpreting Bar Graphs Exercises p.190 Guided Practice p.193 Exercises p.194 5-3 Interpreting Line Graphs Guided Practice p.197 Exercises p.198 5-4 Drawing Bar and Line Graphs Guided Practice p.201 Exercises p.202 Self Test 1 p.203 5-6 Problem Solving: Too Much or Not Enough Information Guided Practice p.204 5-5 Decision Making: Choosing the Appropriate Type of Graph Exercises p.205 5-6 Problem Solving: Too Much or Not Enough Information Guided Practice p.207 Problem Solving Situations p.207 5-7 Misleading Graphs Guided Practice p.210 Exercises p.211 Self Test 2 p.212 5-8 Mean, Median, Mode, and Range Guided Practice p.214 Exercises p.214 5-9 Decisioin Making: Choosing the Appropriate Statistic Guided Practice p.218 Exercises p.219 5-10 Data Collection and Frequency Tables Guided Practice p.222 Exercises p.222 Self Test 3 p.223 Exercises p.225 Chapter Review p.226 Chapter Test p.229 Exercises p.231 Cumulative Review p.232

### Chapter 6

Introduction To Geometry

 6-1 Points, Lines, and Planes Guided Practice p.237 Exercises p.238 6-2 Measuring and Drawing Angles Guided Practice p.241 Exercises p.242 6-3 Types of Angles Exercises p.247 Guided Practice p.247 6-4 Perpendicular and Parallel Lines Exercises p.251 Guided Practice p.251 Self Test 1 p.253 6-5 Polygons Exercises p.259 Guided Practice p.259 6-6 Triangles Guided Practice p.263 Exercises p.263 6-7 Quadrilaterals Guided Practice p.267 Exercises p.268 6-8 Problem Solving: Identifying a Pattern Guided Practice p.272 Problem Solving Situations p.273 6-9 Symmetry Guided Practice p.276 Exercises p.277 Self Test 2 p.279 Chapter Review p.280 Chapter Test p.283 Cumulative Review p.286

### Chapter 7

Number Theory And Fraction Concepts

 7-1 Factors and Prime Numbers Exercises p.291 Guided Practice p.291 7-2 Greatest Common Factor Exercises p.294 Guided Practice p.294 7-3 Least Common Multiple Guided Practice p.297 Exercises p.298 Self Test 1 p.299 7-4 Equivalent Fractions Guided Practice p.303 Exercises p.304 7-5 Simplifying Algebraic Fractions Exercises p.307 Guided Practice p.307 7-6 Comparing Fractions Guided Practice p.310 Exercises p.311 7-7 Fractions and Decimals Guided Practice p.314 Exercises p.315 7-8 Problem Solving: Drawing a Diagram Problem Solving Situations p.318 Guided Practice p.318 Self Test 2 p.320 7-9 Rational Numbers Exercises p.322 Guided Practice p.322 7-10 Graphing Open Sentences Guided Practice p.326 Exercises p.326 7-11 Negative and Zero Exponents Guided Practice p.329 Exercises p.330 Self Test 3 p.331 Chapter Review p.332 Chapter Test p.334 Exercises p.335 Cumulative Review p.336

### Chapter 8

Rational Numbers

 8-1 Multiplying Rational Numbers Guided Practice p.342 Exercises p.342 8-2 Dividing Rational Numbers Guided Practice p.345 Exercises p.346 Self Test 1 p.347 8-3 Decision Making: Determining the Correct Form of an Answer Guided Practice p.348 Exercises p.349 8-4 Adding and Subtracting Rational Numbers Guided Practice p.354 Exercises p.354 8-5 Adding and Subtracting Rational Numbers Guided Practice p.357 Exercises p.358 8-6 Estimating with Rational Numers Guided Practice p.363 Exercises p.363 Self Test 2 p.364 8-7 Problem Solving: Supplying Missing Facts Problem Solving Situations p.366 Guided Practice p.366 8-8 Equations Involving Rational Numbers Exercises p.369 Guided Practice p.369 8-9 Using Reciprocals to Solve Equations Guided Practice p.372 Exercises p.372 8-10 Transforming Formulas Guided Practice p.376 Exercises p.376 Self Test 3 p.377 Chapter Review p.380 Chapter Test p.382 Exercises p.383 Cumulative Review p.384

### Chapter 9

Ratio, Proportion, And Percent

 9-1 Ratio and Rate Exercises p.389 Guided Practice p.389 9-2 Proportions Guided Practice p.392 Exercises p.393 9-3 Scale Drawings Guided Practice p.396 Exercises p.397 9-4 Problem Solving: Using Proportions Guided Practice p.399 Problem Solving Situations p.400 Self Test 1 p.401 9-5 Percent Guided Practice p.405 Exercises p.406 9-6 Finding a Percent of a Number Guided Practice p.410 Exercises p.410 9-7 Finding the Percent One Numbers Is of Another Guided Practice p.413 Exercises p.413 9-8 Finding a Number When a Percent of It Is Known Guided Practice p.416 Exercises p.416 Self Test 2 p.418 9-9 Percent of Increase or Decrease Guided Practice p.420 Exercises p.420 9-10 Percents and Proportions Guided Practice p.425 Exercises p.426 Self Test 3 p.427 Chapter Review p.428 Chapter Test p.430 Exercises p.431 Cumulative Review p.432

### Chapter 10

Circles And Polygons

 10-1 Perimeter Guided Practice p.437 Exercises p.438 10-2 Circles and Circumference Guided Practice p.442 Exercises p.443 10-3 Area of Polygons Guided Practice p.447 Exercises p.448 10-4 Area of Circles Guided Practice p.454 Exercises p.454 10-5 Decision Making: Choosing Perimeter, Circumference, or Area Guided Practice p.457 Exercises p.458 10-6 Problem Solving: Problems with No Solution Guided Practice p.459 Problem Solving Situations p.460 Self Test 1 p.461 10-7 Congruent Polygons Exercises p.464 Guided Practice p.464 10-8 Similar Polygons Guided Practice p.467 Exercises p.468 10-9 Indirect Measurement Guided Practice p.472 Exercises p.473 10-10 Square Roots Guided Practice p.476 Exercises p.477 10-11 Pythagorean Theorem Exercises p.483 Guided Practice p.483 Self Test 2 p.485 Chapter Review p.486 Chapter Test p.488 Exercises p.489 Cumulative Review p.490

### Chapter 11

Statistics And Circle Graphs

 11-1 Frequency Tables with Intervals Guided Practice p.494 Exercises p.495 11-2 Stem-and-Leaf Plots Guided Practice p.498 Exercises p.499 11-3 Histograms and Frequency Polygons Guided Practice p.502 Exercises p.503 11-4 Box-and-Whisker Plots Guided Practice p.506 Exercises p.507 Self Test 1 p.508 11-5 Scattergrams Guided Practice p.510 Exercises p.511 11-6 Interpreting Circle Graphs Guided Practice p.514 Exercises p.515 11-7 Constructing Circle Graphs Guided Practice p.518 Exercises p.519 Focus on Computers p.521 11-8 Decision Making: Choosing an Appropriate Data Display Exercises p.523 Guided Practice p.523 11-9 Problem Solving: Using Logical Reasoning Guided Practice p.525 Problem Solving Situations p.525 Self Test 2 p.527 Chapter Review p.530 Chapter Test p.533 Cumulative Review p.536

### Chapter 12

Probability

 12-7 Experimental Probability Guided Practice p.534 12-1 Probability and Odds Guided Practice p.542 Exercises p.543 12-2 Sample Spaces and Tree Diagrams Guided Practice p.546 Exercises p.546 12-3 The Counting Principle Guided Practice p.549 Exercises p.550 Self Test 1 p.551 12-4 Independent and Dependent Events Guided Practice p.553 Exercises p.554 12-5 Problem Solving: Using a Venn Diagram Guided Practice p.557 Problem Solving Situations p.557 12-6 Permutations and Combinations Exercises p.561 Guided Practice p.561 Self Test 2 p.562 12-7 Experimental Probability Exercises p.565 12-8 Using Samples to Make Predictions Guided Practice p.568 Exercises p.569 Self Test 3 p.571