## Description

**Lial Series**has helped thousands of students succeed in developmental mathematics by providing the best learning and teaching support to students and instructors.

## Table of Contents

**1. Introduction to Algebra: Integers**

1.1 Place Value

1.2 Introduction to Integers

1.3 Adding Integers

1.4 Subtracting Integers

1.5 Problem Solving: Rounding and Estimating

1.6 Multiplying Integers

1.7 Dividing Integers

1.8 Exponents and Order of Operations

**2. Understanding Variables and Solving Equations**

2.1 Introduction to Variables

2.2 Simplifying Expressions

2.3 Solving Equations Using Addition

2.4 Solving Equations Using Division

2.5 Solving Equations with Several Steps

**3. Solving Application Problems**

3.1 Problem Solving: Perimeter

3.2 Problem Solving: Area

3.3 Solving Application Problems with One Unknown Quantity

3.4 Solving Application Problems with Two Unknown Quantities

**4. Rational Numbers: Positive and Negative Fractions**

4.1 Introduction to Signed Fractions

4.2 Writing Fractions in Lowest Terms

4.3 Multiplying and Dividing Signed Fractions

4.4 Adding and Subtracting Signed Fractions

4.5 Problem Solving: Mixed Numbers and Estimating

4.6 Exponents, Order of Operations, and Complex Fractions

4.7 Problem Solving: Equations Containing Fractions

4.8 Geometry Applications: Area and Volume

**5. Rational Numbers: Positive and Negative Decimals**

5.1 Reading and Writing Decimal Numbers

5.2 Rounding Decimal Numbers

5.3 Adding and Subtracting Signed Decimal Numbers

5.4 Multiplying Signed Decimal Numbers

5.5 Dividing Signed Decimal Numbers

5.6 Fractions and Decimals

5.7 Problem Solving with Statistics: Mean, Median, and Mode

5.8 Geometry Applications: Pythagorean Theorem and Square Roots

5.9 Problem Solving: Equations Containing Decimals

5.10 Geometry Applications: Circles, Cylinders, and Surface Area

**6. Ratio, Proportion, and Line/Angle/Triangle Relationships**

6.1 Ratios

6.2 Rates

6.3 Proportions

6.4 Problem Solving with Proportions

6.5 Geometry: Lines and Angles

6.6 Geometry Applications: Congruent and Similar Triangles

**7. Percent**

7.1 The Basics of Percent

7.2 The Percent Proportion

7.3 The Percent Equation

7.4 Problem Solving with Percent

7.5 Consumer Applications: Sales Tax, Tips, Discounts, and Simple Interest

**8. Measurement**

8.1 Problem Solving with U.S. Measurement Units

8.2 The Metric System—Length

8.3 The Metric System—Capacity and Weight (Mass)

8.4 Problem Solving With Metric Measurement

8.5 Metric—U.S. Measurement Conversions and Temperature

**9. Graphs and Graphing**

9.1 Problem Solving with Tables and Pictographs

9.2 Reading and Constructing Circle Graphs

9.3 Bar Graphs and Line Graphs

9.4 The Rectangular Coordinate System

9.5 Introduction to Graphing Linear Equations

**10. Exponents and Polynomials**

10.1 The Product Rule and Power Rules for Exponents

10.2 Integer Exponents and the Quotient Rule

10.3 An Application of Exponents: Scientific Notation

10.4 Adding and Subtracting Polynomials

10.5 Multiplying Polynomials: An Introduction

**R. Whole Numbers Review**

R.1 Adding Whole Numbers

R.2 Subtracting Whole Numbers

R.3 Multiplying Whole Numbers

R.4 Dividing Whole Numbers

R.5 Long DivisionAppendix: Inductive and Deductive Reasoning

Other Appendices:

- Set Operations and Compound Inequalities

- Absolute Value Equations and Inequalities

- Writing Equations of Parallel and Perpendicular Lines

- Factoring Sums and Differences of Cubes

- The Distance and Midpoint Formulas

- Rational Exponents

Answers to Selected Exercises

Solutions to Selected Exercises

Index

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