101 Involved Algebra Problems with Answers

Description

Sharpen your algebra skills by solving 101 “involved” algebra problems. This book includes separate sections of answers, hints, and full solutions. Prerequisites include multiplying expressions with square roots, systems of equations, the quadratic formula, the equation for a straight line, power rules, factoring, and other standard algebra techniques. A variety of problems are included, such as:systems of equations (many are nonstandard, including a quadratic term or a reciprocal, for example)simplifying expressions or solving equations that feature square rootsapplying algebra to derive equationsvariables in the denominatorrules for exponentsinequalitiesthe equation for a straight linemultiplying, distributing, or factoring expressionsapplications of algebra (such as in classic physics problems)transformations of variablesexposure to techniques such as completing the square, partial fractions, or separation of variablescross multiplyingratiosrationalizing the denominator and multiplying by the conjugateThis book is NOT indented to “teach” algebra (though the solutions may be instructive), but is designed to offer practice with a variety of algebra skills (which most students could benefit from) for students who are familiar with the skills listed. The author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this workbook of the Improve Your Math Fluency series to share his strategies for solving algebra problems. Contents Introduction Problems 1 to 10 Hints 1 to 10 Answers 1 to 10 Solutions 1 to 10 Problems 11 to 20 Hints 11 to 20 Answers 11 to 20 Solutions 11 to 20 Problems 21 to 30 Hints 21 to 30 Answers 21 to 30 Solutions 21 to 30 Problems 31 to 40 Hints 31 to 40 Answers 31 to 40 Solutions 31 to 40 Problems 41 to 50 Hints 41 to 50 Answers 41 to 50 Solutions 41 to 50 Problems 51 to 60 Hints 51 to 60 Answers 51 to 60 Solutions 51 to 60 Problems 61 to 70 Hints 61 to 70 Answers 61 to 70 Solutions 61 to 70 Problems 71 to 80 Hints 71 to 80 Answers 71 to 80 Solutions 71 to 80 Problems 81 to 90 Hints 81 to 90 Answers 81 to 90 Solutions 81 to 90 Problems 91 to 101 Hints 91 to 101 Answers 91 to 101 Solutions 91 to 101 Topic List