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Intermediate Algebra by Lynn Marecek



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Intermediate Algebra by Lynn Marecek , Santa Ana College. 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.

Intermediate Algebra by Lynn Marecek cover the following topics.

  • 1. Foundations
    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
    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
    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
    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
    5.1 Add and Subtract Polynomials
    5.2 Properties of Exponents and Scientific Notation
    5.3 Multiply Polynomials
    5.4 Dividing Polynomials

  • 6. 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
    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
    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
    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
    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
    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
    12.1 Sequences
    12.2 Arithmetic Sequences
    12.3 Geometric Sequences and Series
    12.4 Binomial Theorem

  • Index

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