Intermediate Algebra - Textbook & Practice Test description

Intermediate Algebra is designed to meet the scope and sequence requirements of a one-semester intermediate algebra course. The book’s organization makes it easy to adapt to a variety of course syllabus. The text expands on the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. The material is presented as a sequence of clear steps, building on concepts presented in pre-algebra and elementary algebra courses.

✨Content of the Application✨
1 Foundations
Introduction
1.1 Use the Language of Algebra
1.2 Integers
1.3 Fractions
1.4 Decimals
1.5 Properties of Real Numbers

2 Solving Linear Equations
Introduction
2.1 Use a General Strategy to Solve Linear Equations
2.2 Use a Problem Solving Strategy
2.3 Solve a Formula for a Specific Variable
2.4 Solve Mixture and Uniform Motion Applications
2.5 Solve Linear Inequalities
2.6 Solve Compound Inequalities
2.7 Solve Absolute Value Inequalities

3 Graphs and Functions
Introduction
3.1 Graph Linear Equations in Two Variables
3.2 Slope of a Line
3.3 Find the Equation of a Line
3.4 Graph Linear Inequalities in Two Variables
3.5 Relations and Functions
3.6 Graphs of Functions

4 Systems of Linear Equations
Introduction
4.1 Solve Systems of Linear Equations with Two Variables
4.2 Solve Applications with Systems of Equations
4.3 Solve Mixture Applications with Systems of Equations
4.4 Solve Systems of Equations with Three Variables
4.5 Solve Systems of Equations Using Matrices
4.6 Solve Systems of Equations Using Determinants
4.7 Graphing Systems of Linear Inequalities

5 Polynomials and Polynomial Functions
Introduction
5.1 Add and Subtract Polynomials
5.2 Properties of Exponents and Scientific Notation
5.3 Multiply Polynomials
5.4 Dividing Polynomials

6 Factoring
Introduction to Factoring
6.1 Greatest Common Factor and Factor by Grouping
6.2 Factor Trinomials
6.3 Factor Special Products
6.4 General Strategy for Factoring Polynomials
6.5 Polynomial Equations

7 Rational Expressions and Functions
Introduction
7.1 Multiply and Divide Rational Expressions
7.2 Add and Subtract Rational Expressions
7.3 Simplify Complex Rational Expressions
7.4 Solve Rational Equations
7.5 Solve Applications with Rational Equations
7.6 Solve Rational Inequalities

8 Roots and Radicals
Introduction
8.1 Simplify Expressions with Roots
8.2 Simplify Radical Expressions
8.3 Simplify Rational Exponents
8.4 Add, Subtract, and Multiply Radical Expressions
8.5 Divide Radical Expressions
8.6 Solve Radical Equations
8.7 Use Radicals in Functions
8.8 Use the Complex Number System

9 Quadratic Equations and Functions
Introduction
9.1 Solve Quadratic Equations Using the Square Root Property
9.2 Solve Quadratic Equations by Completing the Square
9.3 Solve Quadratic Equations Using the Quadratic Formula
9.4 Solve Quadratic Equations in Quadratic Form
9.5 Solve Applications of Quadratic Equations
9.6 Graph Quadratic Functions Using Properties
9.7 Graph Quadratic Functions Using Transformations
9.8 Solve Quadratic Inequalities

10 Exponential and Logarithmic Functions
Introduction
10.1 Finding Composite and Inverse Functions
10.2 Evaluate and Graph Exponential Functions
10.3 Evaluate and Graph Logarithmic Functions
10.4 Use the Properties of Logarithms
10.5 Solve Exponential and Logarithmic Equations

11 Conics
Introduction
11.1 Distance and Midpoint Formulas; Circles
11.2 Parabolas
11.3 Ellipses
11.4 Hyperbolas
11.5 Solve Systems of Nonlinear Equations

12 Sequences, Series and Binomial Theorem
Introduction
12.1 Sequences
12.2 Arithmetic Sequences
12.3 Geometric Sequences and Series
12.4 Binomial Theorem

👉Each Chapter Include:
✔Key Terms
✔Key Concepts
✔Exercises
✔Review Exercises
✔Practice Test