ISBN: 9780395360866

Author: Houghton Mifflin

Published: 1985

## Chapters: 1 2 3 4 5 6 7 8 9 10 11 12 13 14

### Chapter 1

Review Of Essentials

1-1 | Sets and Graphing | Written Exercises | p.5 |

1-2 | Properties of Real Numbers | Written Exercises | p.10 |

1-3 | Basic Operations | Written Exercises | p.15 |

1-4 | Linear Equations | Written Exercises | p.20 |

1-5 | Linear Inequalities | Written Exercises | p.23 |

1-6 | Combining Inequalities | Written Exercises | p.27 |

1-7 | Tranlating Words into Symbols | Written Exercises | p.31 |

1-8 | Problem Solving | Written Exercises | p.36 |

### Chapter 2

Logic

2-1 | Statements and Negation | Written Exercises | p.51 |

2-2 | Conjunction and Disjunction | Written Exercises | p.55 |

2-3 | Conditionals | Written Exercises | p.60 |

2-4 | Open Sentences | Written Exercises | p.65 |

2-5 | Related Conditionals | Written Exercises | p.68 |

2-6 | Laws of Inference | Written Exercises | p.73 |

2-7 | Chains of Reasoning | Written Exercises | p.79 |

2-8 | Direct Proof | Written Exercises | p.85 |

2-9 | Indirect Proof | Written Exercises | p.90 |

### Chapter 3

Geometry And Proof

3-1 | Points and Lines | Written Exercises | p.102 |

3-2 | Postulates and Theorems | Written Exercises | p.106 |

3-3 | Angles and Angle Measure | Written Exercises | p.110 |

3-4 | Angle Relationships | Written Exercises | p.116 |

3-5 | Congruence | Written Exercises | p.122 |

3-6 | More Ways of Proving Congruence | Written Exercises | p.127 |

3-7 | Corresponding Parts of Congruent Triangles | Written Exercises | p.130 |

3-8 | Isosceles Triangles | Written Exercises | p.135 |

3-9 | Geometric Inequalities | Written Exercises | p.140 |

### Chapter 4

Parallel Lines

4-1 | Proving Lines Parallel | Written Exercises | p.157 |

4-2 | The Parallel Postulate | Written Exercises | p.162 |

4-3 | The Triangle Angle-Sum Theorem | Written Exercises | p.167 |

4-4 | Another Way of Proving Congruence | Written Exercises | p.172 |

4-5 | Polygons | Written Exercises | p.178 |

### Chapter 5

Quadrilaterals

5-1 | Parallelograms and Their Properties | Written Exercises | p.190 |

5-2 | Proving that a Quadrilateral is a Parallelogram | Written Exercises | p.194 |

5-3 | Special Parallelograms | Written Exercises | p.198 |

5-4 | Triangles and Parallel Lines | Written Exercises | p.204 |

5-5 | Trapezoids | Written Exercises | p.208 |

### Chapter 6

Polynomials And Rational Expressions

6-1 | Sums and Differences of Polynomial | Written Exercises | p.221 |

6-2 | Products of Polynomials | Written Exercises | p.225 |

6-3 | Factoring Polynomials | Written Exercises | p.232 |

6-4 | Factoring Special Polynomials | Written Exercises | p.235 |

6-5 | Dividing Polynomials | Written Exercises | p.239 |

6-6 | Simplifying Rational Expression | Written Exercises | p.243 |

6-7 | Products and Quotients of Rational Expressions | Written Exercises | p.246 |

6-8 | Sums and Differences of Rational Expressions | Written Exercises | p.249 |

### Chapter 7

Quadratic Equations

7-1 | Solving Quadratic Equations by Factoring | Written Exercises | p.262 |

7-2 | Solving Fractional Equations | Written Exercises | p.266 |

7-3 | Solving Quadratic Equations by Taking Square Roots | Written Exercises | p.271 |

7-4 | Solving Problems with Quadratic Equations | Written Exercises | p.276 |

7-5 | Completing the Square | Written Exercises | p.281 |

7-6 | The Quadratic Formula | Written Exercises | p.284 |

7-7 | Choosing a Method of Solution | Written Exercises | p.289 |

7-8 | Solving Problems with Quadratic Equations | Written Exercises | p.293 |

### Chapter 8

Similarity

8-1 | Ratio and Proportion | Written Exercises | p.311 |

8-2 | Similar Polygons | Written Exercises | p.317 |

8-3 | The Triangle Proportionality Theorem | Written Exercises | p.322 |

8-4 | Proving Triangles Similar | Written Exercises | p.329 |

8-5 | Other Ways of Proving Triangles Similar | Written Exercises | p.333 |

8-6 | Areas of Similar Polygons | Written Exercises | p.339 |

8-7 | Applying Similar Triangles | Written Exercises | p.342 |

### Chapter 9

Right Triangles

9-1 | Similar Right Triangles | Written Exercises | p.356 |

9-2 | The Pythagorean Theorem | Written Exercises | p.360 |

9-3 | Special Right Triangles | Written Exercises | p.365 |

9-4 | Trigonometric Ratios | Written Exercises | p.371 |

9-5 | Using Trigonometry | Written Exercises | p.376 |

### Chapter 10

Constructions And Loci

10-1 | Straightedge and Compass Construction | Written Exercises | p.388 |

10-2 | Bisecting Angles and Segments | Written Exercises | p.393 |

10-3 | Constructing Perpendicular Lines | Written Exercises | p.398 |

10-4 | Constructing Parallel Lines | Written Exercises | p.402 |

10-5 | Constructions and Proportions | Written Exercises | p.407 |

10-6 | The Meaning of Locus | Written Exercises | p.410 |

10-7 | Intersection of Loci | Written Exercises | p.413 |

10-8 | Construction of Loci | Written Exercises | p.416 |

### Chapter 11

Coordinate Geometry

11-1 | Points in a Plane | Written Exercises | p.430 |

11-2 | The Distance Formula and the Midpoint Formula | Written Exercises | p.435 |

11-3 | Slope of a Line | Written Exercises | p.441 |

11-4 | Proofs of Using a Coordinate System | Written Exercises | p.446 |

11-5 | Graphing Linear Equations | Written Exercises | p.450 |

11-6 | Writing Equations of Lines | Written Exercises | p.454 |

11-7 | Loci in a Coordinate Plane | Written Exercises | p.457 |

11-8 | Graphing Systems of Linear Equations | Written Exercises | p.461 |

11-9 | Solving Systems of Linear Equations Algebraically | Written Exercises | p.464 |

### Chapter 12

Quadratic Equations In Two Variables

12-1 | The Graph of y = a(x-h)^2 + k | Written Exercises | p.479 |

12-2 | The Graph of y = ax^2 + bx + c | Written Exercises | p.484 |

12-3 | Looking at Quadratic Equations Graphically | Written Exercises | p.487 |

12-4 | Circles | Written Exercises | p.490 |

12-5 | The Parabola as a Locus | Written Exercises | p.494 |

12-6 | Solving Linear-Quadratic Systems | Written Exercises | p.497 |

### Chapter 13

Probability, Permutations, And Combinations

13-1 | Sample Spaces | Written Exercises | p.521 |

13-2 | The Meaning of Probability | Written Exercises | p.525 |

13-3 | Probability Formulas | Written Exercises | p.529 |

13-4 | Multistage Events | Written Exercises | p.535 |

13-5 | Permutations | Written Exercises | p.540 |

13-6 | Combinations | Written Exercises | p.544 |

### Chapter 14

Algebraic Systems

14-1 | Familiar Systems | Written Exercises | p.558 |

14-2 | Identity Elements and Inverses | Written Exercises | p.563 |

14-3 | Modular Systems | Written Exercises | p.568 |

14-4 | Groups | Written Exercises | p.574 |

14-5 | Special Groups | Written Exercises | p.578 |

14-6 | Fields | Written Exercises | p.583 |

14-7 | Solving Equations in Fields | Written Exercises | p.586 |