Problems Solved! An Algebra Study Guide Part I: Elementary Algebra  Preface PreAlgebra Review        --------------------------------------------------------------- 1.1… 1.2… 1.3… 1.4… 1.5… 1.6… Real Numbers and their Operations Fractions Percents Order of Operations Evaluating Variable Expressions Distributive Property Sample Exam Sample Exam Solutions   -----------------------------------------     Linear Equations and Inequalities     Solving Linear Equations – Part I Solving Linear Equations – Part II Word Problems Linear Inequalities Sample Exam Sample Exam Solutions …2.1 …2.2 …2.3 …2.4 Graphing Lines       --------------------------------------------------------------------- 3.1… 3.2… 3.3… 3.4… 3.5… 3.6… 3.7… Method 1 – Plotting Points Method 2 – Using x- and y-intercepts Slope Method 3 – Slope Intercept Form Parallel and Perpendicular Lines Function Notation Linear Inequalities Sample Exam Sample Exam Solutions   ----------------------------------------------------------     Solving Linear Systems    Method 1 – Solve by Graphing Method 2 – Solve by Substitution Method 3 – Solve by Elimination Word Problems  Systems of Linear Inequalities   Sample Exam Sample Exam Solutions Cumulative Review Sample Midterm Exam Sample Midterm Exam Answers …4.1 …4.2 …4.3 …4.4 …4.5 Polynomial Operations      ------------------------------------------------------------- 5.1… 5.2… 5.3… 5.4… 5.5… 5.6…   Rules of Exponents  Negative Exponents  Adding and Subtracting Polynomials Multiplying Polynomials Dividing Polynomials Evaluating Expressions Sample Exam Sample Exam Solutions --------------------------------------------   Factoring and Quadratic Equations    GCF and Factoring by Grouping Factoring Trinomials Factoring Binomials General Factoring Solving by Factoring Solving with the Quadratic Formula Word Problems Sample Exam  Sample Exam Solutions …6.1 …6.2 …6.3 …6.4 …6.5 …6.6 …6.7 Rational Expressions and Equations   --------------------------------------------- 7.1… 7.2… 7.3… 7.4… 7.5… 7.6…   Simplifying Rational Expressions Multiplying and Dividing Rational Expressions Adding and Subtracting Rational Expressions Simplifying Complex Fractions Solving Rational Equations Word Problems Sample Exam Sample Exam Solutions Cumulative Review Sample Final Exam Sample Final Exam Answers Download the entire printable study guide here: Problems Solved! - Elementary Algebra Preliminary Version 1.2 -- 204 pages (Warning: Very large file 31 mb PDF)

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John Redden   -   johnr@cos.edu