Pretest: Whole Numbers Computation
1. Introduction to Algebra: Integers
Study Skills Your Brain Can Learn Mathematics
1.1 Place Value
Study Skills Using Your Text
1.2 Introduction to Integers
Study Skills Homework: How, Why, and When
1.3 Adding Integers
1.4 Subtracting Integers
1.5 Problem Solving: Rounding and Estimating
1.6 Multiplying Integers
1.7 Dividing Integers
Summary Exercises Operations with Integers
Study Skills Taking Lecture Notes
1.8 Exponents and Order of Operations
Study Skills Reviewing a Chapter
Study Skills Managing Your Time
2. Understanding Variables and Solving Equations
2.1 Introduction to Variables
Study Skills Using Study Cards
2.2 Simplifying Expressions
Study Skills Using Study Cards Revisited
Summary Exercises Variables and Expressions
2.3 Solving Equations Using Addition
2.4 Solving Equations Using Division
2.5 Solving Equations with Several Steps
Study Skills Tips for Taking Math Tests
3. Solving Application Problems
3.1 Problem Solving: Perimeter
3.2 Problem Solving: Area
Summary Exercises Perimeter and Area
3.3 Solving Application Problems with One Unknown Quantity
3.4 Solving Application Problems with Two Unknown Quantities
Study Skills Tips for Improving Test Scores
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
Study Skills Making a Mind Map
4.5 Problem Solving: Mixed Numbers and Estimating
Summary Exercises Computation with Fractions
4.6 Exponents, Order of Operations, and Complex Fractions
4.7 Problem Solving: Equations Containing Fractions
4.8 Geometry Applications: Area and Volume
Study Skills Analyzing Your Test Results
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 Summary Exercises Computation with 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
Summary Exercises Ratios, Rates, and 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
Summary Exercises Percent Computation
7.4 Problem Solving with Percent
7.5 Consumer Applications: Sales Tax, Tips, Discounts, and Simple Interest
Study Skills Preparing for Your Final Exam
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)
Summary Exercises U.S. and Metric Measurement Units
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
Summary Exercises Using Exponent Rules
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 Division
8.3 The Metric System–Capacity and Weight (Mass)
Summary Exercises U.S. and Metric Measurement Units
8.4 Problem Solving with Metric Measurement
8.5 Metric—U.S. Measurement Conversions and Temperature
Appendix: Inductive and Deductive Reasoning
