Elementary Algebra, A First Course in Algebraic Thinking, by Robert H. Prior

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You may also access the Chapter 1 Practice Test from here.

Chapter 1 is entitled "Numbers and Algebra"

Section 1.1 The Real Number System

• Absolute value
• Definition of a number
• Real numbers (integers, rational numbers, etc.)
• Repeating decimals

Section 1.2 Adding Integers

• Adding along a number line
• Adding sums mentally
• Commutative Property
• Rules of adding integers

Section 1.3 Subtracting Integers

• Three meanings of the dash
• Double negatives
• Subtraction as addition
• The Commutative Property
• Subtraction and the double negative
• Applications with adding and subtracting integers

Section 1.4 Multiplying and Dividing Integers

• Multiplying integers
• The Product Rule of Signs
• Division of Signed numbers

Section 1.5 The Factor Game

Section 1.6 The Order of Operations

• Grouping symbols
• The Order of Operations
• Exponents and negative numbers
• Square roots and negative numbers
• The fraction bar
• The Main Operation

Section 1.7 Formulas

• Formulas from Geometry
• From Statistics
• Distance, Rate, and Time
• Simple Interest

Section 1.8 The Definitions of Algebra

• Definitions of algebra
• Variables as numbers
• Translating between English and Algebra

Section 1.9 Simplifying Algebraic Expressions

• Terms
• Algebra Expressions
• Combining like terms
• Multiplying two terms
• The Distributive Property

Chapter 1 Practice Test