Basic Math and Pre-Algebra Book

Pretest.

Problems.

Answers.

Chapter 1: The Basics.

Collections of Numbers.

Ways to Show Multiplication and Division.

Multiplying and Dividing Using Zero.

Symbols and Terminology.

Some Fundamental Properties.

Some Properties (Axioms) of Addition.

Some Properties (Axioms) of Multiplication.

A Property of Two Operations.

Grouping Symbols and Order of Operations.

Order of Operations.

Chapter Problems and Solutions.

Problems.

Answers and Solutions.

Supplemental Chapter Problems.

Problems.

Answers.

Chapter 2: Whole Numbers.

Place Value.

Computation.

Adding and Subtracting.

Multiplying.

Dividing.

Rounding Off.

Estimating.

Estimating Sums and Differences.

Estimating Products and Quotients.

Divisibility Rules.

Factoring.

Prime Numbers.

Composite Numbers.

Factor Trees.

Chapter Problems and Solutions.

Problems.

Answers and Solutions.

Supplemental Chapter Problems.

Problems.

Answers.

Chapter 3:Fractions.

Equivalent Fractions.

Reducing Fractions.

Enlarging Denominators.

Mixed Numbers.

Adding and Subtracting Fractions.

Adding and Subtracting Mixed Numbers.

Adding Mixed Numbers.

Subtracting Mixed Numbers.

Multiplying Fractions and Mixed Numbers.

Multiplying Fractions.

Multiplying Mixed Numbers.

Dividing Fractions and Mixed Numbers.

Dividing Fractions.

Dividing Mixed Numbers.

Compound Fractions.

Chapter Problems and Solutions.

Problems.

Answers and Solutions.

Supplemental Chapter Problems.

Problems.

Answers.

Chapter 4:Decimals.

Place Value.

Comparing Decimals.

Decimal Computation.

Adding Decimals.

Subtracting Decimals.

Multiplying Decimals.

Dividing Decimals.

Estimating.

Changing between Fractions and Decimals.

Changing Fractions to Decimals.

Changing Decimals to Fractions.

Chapter Problems and Solutions.

Problems.

Answers and Solutions.

Supplemental Chapter Problems.

Problems.

Solutions.

Chapter 5: Percents.

Changing Percents, Decimals, and Fractions.

Changing Decimals to Percents.

Changing Percents to Decimals.

Changing Fractions to Percents.

Changing Percents to Fractions.

Applications of Percents.

Finding Percents of a Number.

Finding What Percent One Number Is of Another Number.

Finding a Number When a Percent of It Is Known.

The Proportion Method.

Finding Percent Increase or Percent Decrease.

Chapter Problems and Solutions.

Problems.

Answers and Solutions.

Supplemental Chapter Problems.

Problems.

Answers.

Chapter 6: Integers and Rationals.

Integers.

Number Lines.

Adding Integers.

Subtracting Integers.

Minus Preceding Grouping Symbols.

Multiplying and Dividing Integers.

Absolute Value.

Rational Numbers.

Negative Fractions.

Adding Positive and Negative Fractions.

Adding Positive and Negative Mixed Numbers.

Subtracting Positive and Negative Fractions.

Subtracting Positive and Negative Mixed Numbers.

Multiplying Positive and Negative Fractions.

Multiplying Positive and Negative Mixed Numbers.

Dividing Positive and Negative Fractions.

Dividing Positive and Negative Mixed Numbers.

Chapter Problems and Solutions.

Problems.

Answers and Solutions.

Supplemental Chapter Problems.

Answers.

Chapter 7: Powers, Exponents, and Roots.

Powers and Exponents.

Exponents.

Negative Exponents.

Squares and Cubes.

Operations with Powers and Exponents.

More Operations with Powers and Exponents.

Square Roots and Cube Roots.

Square Roots.

Cube Roots.

Simplifying Square Roots.

Chapter Problems and Solutions.

Problems.

Answers and Solutions.

Supplemental Chapter Problems and Answers.

Problems.

Answers.

Chapter 8: Powers of Ten and Scientific Notation.

Powers of Ten.

Multiplying Powers of Ten.

Dividing Powers of Ten.

Scientific Notation.

Multiplying in Scientific Notation.

Dividing in Scientific Notation.

Other Operations in Scientific Notation.

Chapter Problems and Solutions.

Problems.

Answers.

Supplemental Chapter Problems.

Problems.

Answers.

Chapter 9: Measurements.

The English System.

The Units in the English System.

Changing Units within the English System.

The Metric System.

Changing between English and Metric Units.

Significant Digits.

Measurement of Basic Figures.

Perimeter.

Area.

Circles.

Chapter Problems and Solutions.

Problems.

Answers and Solutions.

Supplemental Chapter Problems.

Problems.

Answers.

Chapter 10: Charts and Graphs.

Bar Charts.

Circle Charts.

Line Graphs.

Chapter Problems and Solutions.

Problems.

Solutions.

Supplemental Chapter Problems.

Problems.

Answers.

Chapter 11: Probability and Statistics.

Probability.

Independent Events.

More Complicated Probabilities.

Statistics.

Chapter Problems and Solutions.

Problems.

Answers and Solutions.

Supplemental Chapter Problems.

Problems.

Answers.

Chapter 12: Variables, Algebraic Expressions, and Simple Equations.

Variables and Algebraic Expressions.

Variables.

Algebraic Expressions.

Evaluating Expressions.

Solving Simple Equations.

Solving Addition and Subtraction Equations.

Multiplication and Division Equations.

Combinations of Operations.

Chapter Problems and Solutions.

Problems.

Answers and Solutions.

Supplemental Chapter Problems.

Problems.

Answers.

Appendix:Sequences.

Arithmetic Sequences.

Geometric Sequences.

Predicting the Next Term of a Sequence.

Customized Full-Length Exam.

Problems.

Glossary.

Index.