College Placement Test Math Practice

Book excerpt: Do you need help with math for your college placement test? "College Placement Test Math Practice" contains 200 math practice problems and step-by-step solutions. The book contains pre-algebra, algebra, and college-level math problems. For each of the problems, we provide an illustrated step-by-step mathematical solution, which shows you the formulas and all of the mathematical steps needed to solve each problem. Each problem also includes a narrative explanation, which gives tips and exam strategies on how to solve similar problems on your college placement exam. The book covers the following topics: Pre-algebra: Computations with Integers Working with Fractions - Multiplying Fractions - Dividing Fractions - Finding the Lowest Common Denominator - Simplifying Fractions Mixed Numbers Percentages and Decimals Solving Word Problems Proportions Rates and Ratios Setting Up Equations Working with Averages Algebra: Evaluating and Simplifying Numerical Expressions Polynomials - The FOIL Method and Working with Polynomials - Multiplying Polynomials Using the FOIL Method - Dividing Polynomials Using Long Division - Evaluating Polynomial Expressions - Substituting Values in Polynomial Expressions - Operations on Polynomials that Have More than Two Terms Factoring - Factoring - Advanced Problems - Factoring to Find Possible Values of a Variable - Fractions that Contain Fractions - Fractions that Contain Radicals - Fractions that Contain Rational Expressions - Working with Quadratics Rational Expressions - Adding and Subtracting Fractions that Contain Rational Expressions - Multiplying Fractions that Contain Rational Expressions - Dividing Fractions that Contain Rational Expressions Functions Imaginary and Complex Numbers Inequalities Laws of Exponents - Adding and Subtracting Exponents - Fractions as Exponents - Positive and Negative Exponents - Zero Exponent Logarithmic Functions Matrices Multiple Solutions Scientific Notation Sequences and Series Sigma Notation Solving by Elimination Solving for an Unknown Variable Special Operations Square Roots, Cube Roots, and Other Radicals - Factoring Radicals - Multiplication of Radicals - Rationalizing Radicals Systems of Equations College-level math: Angles and the Pythagorean Theorem Circles and Arcs Squares and Rectangles Linear Equations and Graphs Midpoints Slope and Slope-Intercept x and y intercepts Basic trigonometry