Prealgebra and Introductory Algebra by Bello, Ignacio; Odion, Charles;

Tartalomjegyzék:

1 Whole Numbers and Problem Solving

1.1 Standard Numerals and Place Values

1.2 Ordering and Rounding Whole Numbers

1.3 Addition

1.4 Subtraction

1.5 Multiplication

1.6 Division

1.7 Primes, Factors, Divisibility, and Exponents

1.8 Order of Operations and Grouping Symbols

1.9 Equations and Problem Solving

2 Integers and Problem Solving

2.1 Introduction to Integers

2.2 Addition and Subtraction of Integers

2.3 Multiplication and Division of integers

2.4 Introduction to Algebra

2.5 Equations and Problem Solving: Word Problems

3 Fractions, Mixed Numbers and Problem Solving

3.1 Fractions and Mixed Numbers

3.2 Equivalent Fractions

3.3 Multiplication, and Division of Fractions and Mixed Numbers

3.4 Addition and Subtraction of Fractions

3.5 Addition and Subtraction of Mixed Numbers

3.6 Order of operations and Grouping Symbols

3.7 Equations and Problem Solving

4 Decimals and Problem Solving

4.1 Addition and Subtraction of Decimals

4.2 Multiplication and Division of Decimals

4.3 Fractions and Decimals

4.4 Decimals, Fractions, and Order of Operations

4.5 Equations and Problem Solving

5 Ratio, Rate, and Proportion

5.1 Ratio and Proportion

5.2 Rates

5.3 Word Problems Involving Proportions

6 Percent

6.1 Percent Notation

6.2 Percent Problems

6.3 Solving Percent Problems Using Proportions

6.4 Taxes, Interest, Commissions, and Discounts

6.5 Applications: Percent of Increase or Decrease

6.6 Consumer Credit

7 Statistics and Graphs

7.1 Tables and Pictographs

7.2 Bar and Line Graphs

7.3 Circle Graphs (Pie Charts)

7.4 Mean, Median, Mode, and Range

8 Geometry

8.1 Lines and Angles

8.2 Intersecting, Parallel, and Perpendicular Lines

8.3 Polygons, Triangles, Congruency, and Similarity

8.4 Perimeters

8.5 Areas

8.6 Surface Areas and Volumes

9 The Real Numbers

9.1 Introduction to Algebra

9.2 The Real Numbers

9.3 Adding and Subtracting Real Numbers

9.4 Multiplying and Dividing Real Numbers

9.5 Order of Operations

9.6 Properties of the Real Numbers

9.7 Simplifying Expressions

10 Equations, Problem Solving, and Inequalities

10.1 The Addition and Subtraction Properties of Equality

10.2 The Multiplication and Division Properties of Equality

10.3 Linear Equations

10.4 Problem Solving: Integer, General, and Geometry Problems

10.5 Problem Solving: Motion, Mixture, and Investment Problems

10.6 Formulas and Geometry Applications

10.7 Properties of Inequalities

11 Graphs of Linear Equations

11.1 Graphs and Applications

11.2 Graphing Linear Equations in Two Variables

11.3 Graphing Lines Using Intercepts

11.4 The Slope of a Line

12 Exponents and Polynomials

12.1 The Product, Quotient, and Power Rule for Exponents

12.2 Integers Exponents

12.3 Applications of Exponents: Scientific Notation

12.4 Polynomials: An Introduction

12.5 Addition and Subtraction of Polynomials

12.6 Multiplication of Polynomials

12.7 Special Products of Polynomials

12.8 Division of Polynomials

13 Factoring

13.1 Common Factors and Grouping

13.2 Factoring x2 + bx + c

13.3 Factoring ax2 + bx + c, a  1

13.4 Factoring Squares of Binomials

13.5 A General Factoring Strategy

13.6 Solving Quadratic Equations by Factoring

13.7 Applications of Quadratics: Problem Solving

14 Rational Expressions

14.1 Building and Reducing Rational Expressions

14.2 Multiplication and Division of Rational Expressions

14.3 Addition and Subtraction of Rational Expressions

14.4 Complex Fractions

14.5 Solving Equations Containing Rational Expressions

15 Graphs, Slopes, Inequalities and Applications

15.1 Graphing Lines Using Points and Slopes

15.2 Applications of Equations of Lines

15.3 Graphing Inequalities in Two Variables

15.4 Direct and Inverse Variation.

16 Solving Systems of Linear Equations and Inequalities

16.1 Solving Systems of Equations by Graphing

16.2 Solving Systems of Equations by Substitution

16.3 Solving Systems of Equations by Elimination

16.4 Problem Solving: Coin, General Motion, and Investment Problems

16.5 Systems of Linear Inequalities

17 Roots, Radicals and Problem Solving

17.1 Finding Roots

17.2 Multiplication and Division of Radicals

17.3 Addition and Subtraction of Radicals

17.4 Simplifying Radicals

17.5 Applications: Problem Solving

18 Quadratic Equations and Problem Solving

18.1 Solving Quadratic Equations by the Square Root Property

18.2 Solving Quadratic Equations by Completing the Square

18.3 Solving Quadratic Equations by the Quadratic Formula

18.4 Graphing Quadratic Equations

18.5 The Pythagorean Theorem and Problem Solving

18.6 Functions

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