101 Involved Algebra Problems with Answers

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 roots
• applying algebra to derive equations
• variables in the denominator
• rules for exponents
• inequalities
• the equation for a straight line
• multiplying, distributing, or factoring expressions
• applications of algebra (such as in classic physics problems)
• transformations of variables
• exposure to techniques such as completing the square, partial fractions, or separation of variables
• cross multiplying
• ratios
• rationalizing the denominator and multiplying by the conjugate

This 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.