Intermediate Algebra for College Students -- ACCUMULATOR

Table of Contents

Algebra, Mathematical Models, and Problem Solving

1.1 Algebraic Expressions, Real Numbers, and Interval Notation
1.2 Operations with Real Numbers and Simplifying Algebraic Expressions
1.3 Graphing Equations
1.4 Solving Linear Equations

Mid-Chapter Check Point


1.5 Problem Solving and Using Formulas
1.6 Properties of Integral Exponents
1.7 Scientific Notation


Functions and Linear Functions

2.1 Introduction to Functions
2.2 Graphs of Functions
2.3 The Algebra of Functions

Mid-Chapter Check Point


2.4 Linear Functions and Slope
2.5 The Point-Slope Form of the Equation of a Line


Systems of Linear Equations

3.1 Systems of Linear Equations in Two Variables
3.2 Problem Solving and Business Applications Using Systems of Equations
3.3 Systems of Linear Equations in Three Variables

Mid-Chapter Check Point


3.4 Matrix Solutions to Linear Systems
3.5 Determinants and Cramer’s Rule


Inequalities and Problem Solving

4.1 Solving Linear Inequalities
4.2 Compound Inequalities
4.3 Equations and Inequalities Involving Absolute Value

Mid-Chapter Check Point


4.4 Linear Inequalities in Two Variables
4.5 Linear Programming


Polynomials, Polynomial Functions, and Factoring

5.1 Introduction to Polynomials and Polynomial Functions
5.2 Multiplication of Polynomials
5.3 Greatest Common Factors and Factoring by Grouping
5.4 Factoring Trinomials

Mid-Chapter Check Point


5.5 Factoring Special Forms
5.6 A General Factoring Strategy
5.7 Polynomial Equations and Their Applications


Rational Expressions, Functions, and Equations

6.1 Rational Expressions and Functions; Multiplying and Dividing
6.2 Adding and Subtracting Rational Expressions
6.3 Complex Rational Expressions
6.4 Division of Polynomials

Mid-Chapter Check Point


6.5 Synthetic Division and the Remainder Theorem
6.6 Rational Equations
6.7 Formulas and Applications of Rational Equations
6.8 Modeling Using Variation


Radicals, Radical Functions, and Rational Exponents

7.1 Radical Expressions and Functions
7.2 Rational Exponents
7.3 Multiplying and Simplifying Radical Expressions
7.4 Adding, Subtracting, and Dividing Radical Expressions

Mid-Chapter Check Point


7.5 Multiplying with More Than One Term and Rationalizing Denominators
7.6 Radical Equations
7.7 Complex Numbers


Quadratic Equations and Functions

8.1 The Square Root Property and Completing the Square
8.2 The Quadratic Formula
8.3 Quadratic Functions and Their Graphs

Mid-Chapter Check Point


8.4 Equations Quadratic in Form
8.5 Polynomial and Rational Inequalities


Exponents and Logarithmic Functions

9.1 Exponential Functions
9.2 Composite and Inverse Functions
9.3 Logarithmic Functions
9.4 Properties of Logarithms

Mid-Chapter Check Point


9.5 Exponential and Logarithmic Equations
9.6 Exponential Growth and Decay; Modeling Data


Conic Sections and Systems of Nonlinear Equations

10.1 Distance and Midpoint Formulas; Circles
10.2 The Ellipse
10.3 The Hyperbola

Mid-Chapter Check Point


10.4 The Parabola; Identifying Conic Sections
10.5 Systems of Nonlinear Equations in Two Variables


Sequences, Series, and the Binomial Theorem

11.1 Sequences and Summation Notation
11.2 Arithmetic Sequences
11.3 Geometric Sequences and Series

Mid-Chapter Check Point


11.4 The Binomial Theorem