### Free PreAlgebra 1st Edition

First Edition Lessons are Copyright Cheryl Wilcox 2010.

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License..

These lessons form an open-source PreAlgebra textbook. The book was designed for a PreAlgebra course at Diablo Valley College, a community college in California. This project is made possible by sabbatical funding from the Contra Costa Community College District.

For answer keys and other instructor resources, contact author Cheryl Wilcox at cwilcox@dvc.edu or choose the "Contact" option from the menu above.

Special thanks to instructors Jane Brecha and Leslie Month for testing the beta version of this text in Spring 2011.

I have restored the first edition paper textbook at the lulu.com site, overcoming numerous technical difficulties caused by some kind of feud between apple and adobe. Unfortunately the price has gone up to about $20 per volume. The author receives no revenue from this product. Books are printed at cost.

Volume 1 $19.50 Volume 2 $20.26

**Table of Contents**

Each lesson has an explanation with examples, a worksheet covering the lesson topics, Homework set A with answers, and Homework set B without.

**I. Natural Numbers**

Lesson 1: *Counting, Estimating, and Rounding

Lesson 2: Measuring Length

Lesson 3: Perimeter and Area

Lesson 4: Exponents and Volume

Lesson 5: Arithmetic Operations and Precedence

Lesson 6: Variables and Formulas

Practice Test for Lessons 1 – 6

Labs for Lessons 1 - 6

II. Fractions, Part 1

Lesson 7: Measuring Fractions of an Inch

Lesson 8: Factor Pairs

Lesson 9: Prime Factorization

Lesson 10: Equivalent Fractions

Lesson 11: Mixed Numbers and Improper Fractions

Lesson 12: Multiplying Fractions

Practice Test for Lessons 7 – 12

Labs for Lessons 7 - 12

III. Algebra, Part 1

Lesson 13: More Cancelling

Lesson 14: Solving Equations, Part 1

Lesson 15: Simplifying Algebraic Expressions

Lesson 16: Solving Equations, Part 2

Lesson 17: Formulas for Triangles

Lesson 18: Word Problems

Practice Test for Lessons 13 – 18

Labs for Lessons 13 - 18**IV. Signed Numbers**Lesson 19: Negative Numbers

Lesson 20: Adding with Negative Numbers

Lesson 21: Negative Numbers and Subtraction

Lesson 22: More Operations with Negative Numbers

Lesson 23: Negatives in Formulas and Expressions

Lesson 24: Equations with Negatives

Practice Test for Lessons 13 – 24

**Labs for Lessons 19 – 24**

**V. Fractions, Part 2**

Lesson 25: The Common Denominator

Lesson 26: Adding and Subtracting Fractions

Lesson 27: Dividing Fractions

Lesson 28: Fractions and Variables

Lesson 29: *Converting Units

Lesson 30: Equations with Fractions

Comprehensive Review for Lessons 1 – 30

Labs for Lessons 25 - 30

**VI. Decimals**

Lesson 31: Decimal Fractions

Lesson 32: Arithmetic with Decimals

Lesson 33: Formulas for Circles

Lesson 34: Algebra with Decimals

Lesson 35: Comparing Sizes

Lesson 36: *Scientific Notation

Practice Test Lessons 25 – 36

Labs for Lessos 31 - 36

**VII. Proportions and Percents**Lesson 37: *Scale and Proportion

Lesson 38: *Rates with Weight

Lesson 39: *Units in Ratios and Rates

Lesson 40: Percents

Lesson 41: Solving Percent Equations

Lesson 42: A Few Consumer Percents

PracticeTest for Lessons 31 – 42

Labs for Lessons 37 - 42

**VIII. Percents Continued**Lesson 43:* Interest

Lesson 44: *Percents in Mixtures

Lesson 45: *Percent Decrease

Lesson 46: *Percent Increase

Lesson 47: *Extended Percent Problems

Lesson 48: *Optional Percent Topics

Practice Test Lessons 37 - 48

Labs for Lessons 43 - 48

**IX. Roots**Lesson 49: *Squares and Square Roots

Lesson 50: *The Pythagorean Theorem

Lesson 51: *Practical Uses of the Pythagorean Theorem

Lesson 52: *The Real Numbers

Lesson 53: *Introduction to Coordinate Graphing

Lesson 54: *Graphing Simple Equations

Practice Test for Lessons 43 - 54

Labs for Lessons 49 - 54

**X. Get Ready for Algebra I**Lesson 55: *Perimeter Problems with Related Variables

Lesson 56: *The Split Quantity Maneuver

Lesson 57: *Comprehensive Review

Unit 1 Lessons 1 - 6 Unit 2 Lessons 7 - 12 Unit 3 Lessons 13 - 18

Lesson 58: *Comprehensive Review

Unit 4 Lessons 19 - 24 Unit 5 Lessons 25 - 30 Unit 6 Lessons 31 - 36

Lesson 59: *Comprehensive Review Lessons 37 - 55

Unit 7 Lessons 37 - 42 Unit 8 Lessons 43 - 48 Units 9 & 10 Lessons 49 - 56

Lesson 60: *Algebra I Preview

**Practice Final Exam**

Lessons marked with an asterisk are optional in the Diablo Valley College Course Outline for Math-075.