Algebra demystified /
Rhonda Huettenmueller
- 2nd
- New York: McGraw-Hill; 2011
- 480 p.
How to use this book 1: Fractions Fraction multiplication Multiplying fractions and whole numbers Fraction division Simplifying fractions Greatest common divisor Adding and subtracting fractions with like denominators Adding and subtracting fractions with unlike denominators Least Common Denominator (LCD) Finding the LCD Adding more than two fractions Whole number-fraction arithmetic Compound fractions Mixed numbers and improper fractions Fractions and division of whole numbers Mixed number arithmetic Multiplying mixed numbers Dividing mixed numbers Recognizing quantities and relationships in word problems Summary Quiz 2: Introduction To Variables Simplifying fractions containing variables Operations on fractions containing variables Fraction division and compound fractions Adding and subtracting fractions containing variables Variables in word problems Summary Quiz 3: Decimals Adding and subtracting decimal numbers Multiplying decimal numbers Containing decimals Division with decimals Summary Quiz 4: Negative Numbers Sum of a positive number and a negative number Subtracting a larger number from a smaller number Subtracting a positive number from a negative number Double negatives Rewriting a subtraction problem as an addition problem Multiplication and division with negative numbers Negating variables Fractions and negative signs Review Quiz 5: Exponents And Roots Exponent properties and algebraic expressions Adding/subtracting fractions Multiplying/dividing with exponents Roots Simplifying roots Roots expressed as exponents Simplifying multiple roots Summary Quiz. 6: Factoring And The Distributive Property Distributing negative numbers Combining like terms Adding/subtracting fractions Factoring Factoring with negative numbers More factoring Factoring by grouping Factoring to simplify fractions FOIL method Factoring quadratic polynomials Factoring the difference of two squares More on factoring quadratic polynomials Quadratic-type expressions Factoring to simplify a larger family of fractions Adding/subtracting fractions Summary Quiz 7: Linear Equations Solving equations Strategy for solving linear equations Decimals Formulas Equations leading to linear equations Summary Quiz 8: Linear Applications Percents Increasing/decreasing by a percent Working with formulas Number sense Problems involving three unknowns Grade problems Coin problems Investment problems Mixture problems Work problems Distance problems Geometric figures Summary Quiz 9: Linear Inequalities Inequalities and the number line Solving linear inequalities Interval notation Applied problems Bounded intervals Solving double inequalities Applications of double inequalities Summary Quiz 10: Quadratic Equations Solving quadratic equations by factoring Extracting roots Solving quadratic equations with the quadratic formula Rational equations that lead to quadratic equations Summary Quiz 11: Quadratic Applications Number sense problems Revenue problems More work problems Height of a falling object Problems in geometry Distance problems Round-trip problems Summary Quiz Final exam Answers to quizzes and final exam Appendix Index