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