# Unified Math Book 2

ISBN: 9780395360866
Author: Houghton Mifflin
Published: 1985

## Chapters: 1234567891011121314

### 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

 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

 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

 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