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Intermediate Algebra
The comprehensive contents from this book, combined with Odigia’s Teaching and Learning Tools have everything you need to engage, collaborate, track and assess your students.

This course includes:

780

example problems

445

practice questions

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Intermediate Algebra Course Outline

What are the foundations of algebra?

Concepts Covered:

  • How is the language of algebra used?
  • What are the basic properties of integers?
  • How are expressions with fractions simplified and evaluated?
  • How are problems with decimals solved?
  • What are the properties of real numbers?

What are the different ways to solve linear equations?

Concepts Covered:

  • How can a general strategy be used to solve linear equations?
  • How are problem solving strategies used to solve different types of problems and applications?
  • How is a formula solved for a specific variable?
  • How are mixture and uniform motion applications solved?
  • How are linear inequalities solved?
  • How are compound inequalities solved?
  • How are absolute value inequalities solved?

What do the graphs of different types of functions look like?

Concepts Covered:

  • How are linear equations in two variables graphed?
  • How is the slope of a line found?
  • How can the equation of a line be found?
  • What do the graphs of linear inequalities in two variables look like?
  • What is the relationship between relations and functions?
  • What do the graphs of functions look like?

How are systems of linear equations used in real-life situations?

Concepts Covered:

  • How are systems of linear equations with two variables solved?
  • How do you solve applications with systems of equations?
  • How are mixture applications with systems of equations solved?
  • How are systems of equations with three variables solved?
  • How are systems of equations solved by using matrices?
  • How are systems of equations solved by determinants?
  • What do the graphs of systems of linear inequalities look like?

What are polynomials, and how are they used?

Concepts Covered:

  • How do you add and subtract polynomials?
  • What are the properties of exponents and scientific notation?
  • How do you multiply polynomials?
  • How do you divide polynomials?

How is factoring applied to real life situations?

Concepts Covered:

  • How is the greatest common factor of two or more expressions found, and how does factor by grouping work?
  • What steps must be followed to factor trinomials?
  • What steps must be followed to factor special products?
  • What is the general strategy for factoring polynomials?
  • By what methods can polynomial equations be solved?

How are different operations performed on rational expressions and functions?

Concepts Covered:

  • What steps must be followed to multiply and divide rational expressions?
  • How are rational expressions added and subtracted?
  • How are complex rational expressions simplified?
  • How are rational equations solved?
  • How are applications with rational equations solved?
  • What steps must be followed to solve rational inequalities?

How are expressions with roots and radicals simplified and evaluated?

Concepts Covered:

  • How are expressions with roots simplified?
  • How are radical expressions simplified?
  • How are rational exponents simplified?
  • How do you add, subtract, and multiply radical expressions?
  • What steps must be followed to divide radical expressions?
  • How do you solve radical equations?
  • How are radicals used in functions?
  • What is the complex number system, and how is it used?

By what methods are quadratic equations and functions solved?

Concepts Covered:

  • How are quadratic equations solved by using the square root property?
  • How are quadratic equations solved by completing the square?
  • How are quadratic equations solved by using the quadratic formula?
  • How do you solve quadratic equations in quadratic form?
  • How are applications of quadratic equations solved?
  • How are quadratic functions graphed by using properties?
  • How are quadratic functions graphed by using transformations?
  • How are quadratic inequalities solved?

What are exponential and logarithmic functions, and how are they solved?

Concepts Covered:

  • How do you find composite and inverse functions?
  • How do you evaluate and graph exponential functions?
  • How do you evaluate and graph logarithmic functions?
  • How are the properties of logarithms used?
  • How are exponential and logarithmic equations solved?

What are conics?

Concepts Covered:

  • What are the distance and midpoint formulas, and how are they used in relation to circles?
  • How are parabolas graphed and evaluated?
  • How are ellipses graphed and evaluated?
  • What are hyperbolas?
  • How are systems of nonlinear equations solved?

How are sequences, series, and the Binomial Theorem related?

Concepts Covered:

  • How is the formula of a sequence determined?
  • How do you determine if a sequence is arithmetic?
  • How do you determine if a sequence or series is geometric?
  • What is the Binomial Theorem?

About the book

Intermediate Algebra

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 syllabi. 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 prealgebra and elementary algebra courses.

About the authors:

Senior Contributing Authors

Lynn Marecek, Santa Ana College

 
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