Elementary Algebra, Norco Edition, by Robert H. Prior

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Chapter 1 is entitled "Numbers and Algebra"

Section 1.1 Definitions and Properties

• Basic operations
• Evaluating an expression
• Commutative and Associative Properties
• Identities

Section 1.2 Real Numbers

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

Section 1.3 Adding Integers

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

Section 1.4 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 1.5 Multiplying and Dividing Integers

• Multiplying integers
• The fourth meaning of the dash (refer to Sec. 1.4)
• The Product Rule of Signs
• Division of Signed numbers

Section 1.6 The Factor Game

• A numbers game that prepares students for factoring trinomials (Sec. 7.3)

Section 1.7 The Order of Operations

• Grouping symbols
• The Order of Operations
• Exponents and negative numbers
• Square roots and negative numbers
• The Order of Operations and negative numbers
• The fraction bar
• Replacement values
• Formulas

Section 1.8 Algebraic Expressions: Like Terms

• Definitions of algebra
• Replacement values
• Combining like terms

Section 1.9 Algebraic Expressions: The Distributive Property

• Multiplying a term by an integer
• The Distributive Property

Section 1.10 Translating Between English and Algebra

• The Main Operation
• Translating Between English and Algebra
• Translations and the Main Operation