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McDougal Littell Algebra 1, 1999

Answers, hints and solutions to all chapter exercises

Chapter 1

Connections to Algebra

Think & Discuss
Study Guide
1. Variables in Algebra
2. Exponents and Powers
Using Technology: Making a Table
3. Order of Operations
Quiz 1
Developing Concepts: Finding Patterns
4. Equations and Inequalities
Developing Concepts: Exploring Problem Solving
5. A Problem Solving Plan Using Models
Quiz 2
6. Tables and Graphs
7. An Introduction to Functions
Quiz 3
Chapter Review
Chapter Test
Chapter Standardized Test

Chapter 2

Properties of Real Numbers

Think & Discuss
Study Guide
1. The Real Number Line
Developing Concepts: Modeling Addition of Integers
2. Addition of Real Numbers
Developing Concepts: Modeling Subtraction of Integers
3. Subtraction of Real Numbers
Quiz 1
4. Adding and Subtracting Matrices
Using Technology: Adding and Subtracting Matrices
5. Multiplication of Real Numbers
Developing Concepts: Modeling the Distributive Property
6. The Distributive Property
Quiz 2
7. Division of Real Numbers
8. Probability and Odds
Quiz 3
Chapter Review
Chapter Test
Chapter Standardized Test

Chapter 3

Solving Linear Equations

Think & Discuss
Study Guide
Developing Concepts: Modeling One-Step Equations
1. Solving Equations Using Addition and Subtraction
2. Solving Equations Using Multiplication and Division
3. Solving Multi-Step Equations
Quiz 1
Developing Concepts: Modeling Equations with Variables on Both Sides
4. Solving Equations with Variables on Both Sides
5. Linear Equations and Problem Solving
6. Solving Decimal Equations
Quiz 2
Using Technology: Using a Table or Spreadsheet to Solve Equations
7. Formulas and Functions
8. Rates, Ratios, and Percents
Quiz 3
Extension: Inductive and Deductive Reasoning
Chapter Review
Chapter Test
Chapter Standardized Test
Cumulative Practice

Chapter

Project

Running a Business
Investigating Elasticity
Fitting a Model to Data
Investigating the Golden Ratio

Chapter 4

Graphing Linear Equations and Functions

Think & Discuss
Study Guide
1. Coordinates and Scatter Plots
Using Technology: Graphing a Scatter Plot
2. Graphing Linear Equations
3. Quick Graphs Using Intercepts
Quiz 1
Developing Concepts: Investigating Slope
4. The Slope of a Line
5. Direct Variation
Developing Concepts: Graphing Families of Linear Equations
6. Quick Graphs Using Slope-Intercept Form
Quiz 2
Using Technology: Graphing a Linear Equation
7. Solving Linear Equations Using Graphs
8. Functions and Relations
Quiz 3
Chapter Review
Chapter Test
Chapter Standardized Test

Chapter 5

Writing Linear Equations

Think & Discuss
Study Guide
1. Writing Linear Equations in Slope-Intercept Form
2. Writing Linear Equations Given the Slope and a Point
3. Writing Linear Equations Given Two Points
Quiz 1
4. Fitting a Line to Data
Using Technology: Best-Fitting Lines
5. Point-Slope Form of a Linear Equation
Quiz 2
Developing Concepts: Investigating the Standard Form of a Linear Equation
6. The Standard Form of a Linear Equation
Developing Concepts: Investigating Linear Modeling
7. Predicting with Linear Models
Quiz 3
Chapter Review
Chapter Test
Chapter Standardized Test

Chapter 6

Solving and Graphing Linear Inequalities

Think & Discuss
Study Guide
Developing Concepts: Investigating Inequalities
1. Solving One-Step Linear Inequalities
2. Solving Multi-Step Linear Inequalities
3. Solving Compound Inequalities
Quiz 1
4. Solving Absolute-Value Equations and Inequalities
Using Technology: Graphing Absolute-Value Equations
5. Graphing Linear Inequalities in Two Variables
Quiz 2
Using Technology: Graphing Inequalities
6. Stem-and-Leaf Plots and Mean, Median, and Mode
7. Box-and-Whisker Plots
Quiz 3
Using Technology: Box-and-Whisker Plots
Chapter Review
Chapter Test
Chapter Standardized Test
Cumulative Practice

Chapter 7

Systems of Linear Equations and Inequalities

Think & Discuss
Study Guide
Developing Concepts: Investigating Graphs of Linear Systems
1. Solving Linear Systems by Graphing
Using Technology: Solving Linear Systems by Graphing
2. Solving Linear Systems by Substitution
3. Solving Linear Systems by Linear Combinations
Quiz 1
4. Applications of Linear Systems
Developing Concepts: Investigating Special Types of Linear Systems
5. Special Types of Linear Systems
6. Solving Systems of Linear Inequalities
Quiz 2
Chapter Review
Chapter Test
Chapter Standardized Test

Chapter 8

Exponent and Exponential Functions

Think & Discuss
Study Guide
Developing Concepts: Investigating Powers
1. Multiplication Properties of Exponents
2. Zero and Negative Exponents
Using Technology: Graphing Exponential Functions
3. Division Properties of Exponents
Quiz 1
4. Scientific Notation
Developing Concepts: Linear and Exponential Growth Models
5. Exponential Growth Functions
Developing Concepts: Investigating Exponential Decay
6. Exponential Decay Functions
Quiz 2
Using Technology: Fitting Exponential Models
Chapter Review
Chapter Test
Chapter Standardized Test

Chapter 9

Quadratic Equations and Functions

Think & Discuss
Study Guide
1. Solving Quadratic Equations by Finding Square Roots
2. Simplifying Radicals
Developing Concepts: Investigating Graphs of Quadratic Functions
3. Graphing Quadratic Functions
Quiz 1
Using Technology: Graphing Quadratic Curves of Best Fit
4. Solving Quadratic Equations by Graphing
Using Technology: Approximating Solutions by Graphing
5. Solving Quadratic Equations by the Quadratic Formula
Using Technology: Writing a Program for the Quadratic Formula
Developing Concepts: Investigating Applications of the Discriminant
6. Applications of the Discriminant
Quiz 2
7. Graphing Quadratic Inequalities
8. Comparing Linear, Exponential, and Quadratic Models
Chapter Review
Chapter Test
Chapter Standardized Test
Cumulative Practice

Chapter 10

Polynomials and Factoring

Think & Discuss
Study Guide
Developing Concepts: Modeling Addition of Polynomials
1. Adding and Subtracting Polynomials
Using Technology: Graphing Polynomial Functions
2. Multiplying Polynomials
3. Special Products of Polynomials
Quiz 1
4. Solving Polynomial Equations in Factored Form
Developing Concepts: Modeling the Factorization of x² + bx + c
5. Factoring x² + bx + c
Developing Concepts: Modeling the Factorization of ax² + bx + c
6. Factoring ax² + bx + c
Quiz 2
Developing Concepts: Modeling the Factorization of (ax)² + 2abx + b²
7. Factoring Special Products
8. Factoring Using the Distributive Property
Quiz 3
Chapter Review
Chapter Test
Chapter Standardized Test

Chapter 11

Rational Equations and Functions

Think & Discuss
Study Guide
1. Ratio and Proportion
2. Percents
3. Direct and Inverse Variation
Quiz 1
Using Technology: Modeling Inverse Variation
4. Simplifying Rational Expressions
5. Multiplying and Dividing Rational Expressions
6. Adding and Subtracting Rational Expressions
Quiz 2
Developing Concepts: Modeling Polynomial Division
7. Dividing Polynomials
8. Rational Equations and Functions
Quiz 3
Using Technology: Graphing Rational Functions
Chapter Review
Chapter Test
Chapter Standardized Test

Chapter 12

Radicals and Connections to Geometry

Think & Discuss
Study Guide
1. Functions Involving Square Roots
Using Technology: Functions Involving Square Roots
2. Operations with Radical Expressions
3. Solving Radical Equations
Quiz 1
Developing Concepts: Modeling Completing the Square
4. Completing the Square
Developing Concepts: Investigating the Pythagorean Theorem
5. The Pythagorean Theorem and Its Converse
Quiz 2
6. The Distance and Midpoint Formulas
Developing Concepts: Investigating Similar Triangles
7. Trigonometric Ratios
8. Logical Reasoning: Proof
Quiz 3
Chapter Review
Chapter Test
Chapter Standardized Test
Cumulative Practice

Chapter

Skills Review Handbook

Factors and Multiples
Comparing and Ordering Numbers
Fraction Operations
Fractions, Decimals, and Percents
Using Percent
Ratio and Rate
Counting Methods
Perimeter, Area, and Volume
Data Displays
Problem Solving

Chapter

Extra Practice

Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
Chapter 10
Chapter 11
Chapter 12

About this book

Publisher:

McDougal Littell

Author:

Larson, Boswell, Kanold, Stiff

ISBN:

9780395937761

ISBN10:

0395937760

Course:

Algebra 1