Appendix A Definitions
1 Basic Algebraic Presentation
Definition 1.4.1 Axioms of Equality
2 Variables in Expressions and Equations
Definition 2.1.1 Variable
3 Like and Unlike Terms
Definition 3.1.1 Monomial, Coefficient, Variable Part
Definition 3.1.2 Polynomial
Definition 3.1.3 Like and Unlike Terms
Definition 3.1.4 The Distributive Property
Definition 3.4.1 The Commutative and Associative Properties of Addition
4 Simplifying Expressions and Solving Equations
Definition 4.1.1 Expression
Definition 4.1.2 Simplify
Definition 4.1.3 Equation
Definition 4.1.4 Solve and Solution of an Equation
Definition 4.5.1 Inequality
Definition 4.5.2 Axioms of Inequality
Definition 4.5.3 Solve and Solution of an Inequality
6 Exponents
Definition 6.1.1 Exponent
Definition 6.1.3 Exponent Notation
Definition 6.5.1 The \(n\)-th root
Definition 6.5.2 Fractional Exponents
7 Products of Polynomials
Definition 7.4.1 The Commutative and Associative Properties of Multiplication
8 Common Factors
Definition 8.1.1 Common Factor
9 Factoring Quadratic Polynomials
Definition 9.1.1 Monic and Non-Monic Quadratic Polynomials
12 Lines and the Coordinate Plane
Definition 12.1.1 Linear Equation
Definition 12.5.1 Function
13 Slope-Intercept Form
Definition 13.1.1 Slope
Definition 13.1.2 Slope-Intercept Form
14 Point-Slope Form
Definition 14.1.1 Point-Slope Form
15 The Method of Substitution
Definition 15.1.1 System of Simultaneous Linear Equations
17 Fraction Basics
Definition 17.1.1 Fractions
Definition 17.1.2 Equivalent Fractions
20 Fraction Division
Definition 20.1.1 The Reciprocal of a Fraction
24 Rethinking Arithmetic
Definition 24.1.1 Greater Than and Less Than
27 Negatives on the Number Line
Definition 27.5.1 Absolute Value
Definition 27.5.2 Absolute Value
34 Scientific Notation
Definition 34.1.1 Scientific Notation