# Pre-Algebra

**Our complete Pre-Algebra package includes:**

**12-month Online Subscription**to our complete Pre-Algebra course with video lessons, day-by-day lesson plans, automatically graded exercises, and much more.**CD Set**(optional) contains all of the video lessons so that you can watch them when you're away from the internet.**Workbook**(optional) with lecture notes, sample problems, and exercises so that you can study even when away from the computer.

### Pre-Algebra Details

Thinkwell's Pre-Algebra is a great review for students who have completed Grade 8 Math, but need more Pre-Algebra help before Algebra 1. It's also perfect for advanced students who want to begin Algebra 1 sooner.

Students love to learn Pre-Algebra online with videos and automatically graded Pre-Algebra problems. Edward Burger, our award-winning math teacher, uses example-based tutorials that break Pre-Algebra into the basics, giving students the tips and tricks they need to excel at algebra.

Thinkwell's Pre-Algebra has all the features your home school needs:

- More than 100 video tutorials
- 76 available contact hours (What is this?)
The number of contact hours in a course reflects the amount of time a student will typically spend completing the assignments in each course (i.e. watching videos, doing exercises, taking exams, etc...). Many people think about contact hours as the "seat time" for a course. Thinkwell provides this information so you can ensure that the amount of instruction in a Thinkwell course meets the standards and requirements for your state or region.
- 30-week lesson plan with daily assignments (see lesson plan)
- 1000+ automatically graded Pre-Algebra problems (see sample)
- Pre-Algebra tests, including 11 chapter tests, as well as practice tests, a midterm, and a final exam.
- Real-world application examples in both lectures and exercises
- Printable illustrated notes for each topic
- Searchable glossary of mathematical terms
- Engaging content to help students advance their mathematical knowledge:
- Operations with whole numbers, integers, decimals, and fractions
- Variables and expressions
- One-step, two-step, and multi-step equations and inequalities
- Ratios, proportions, and percents
- Simple and compound interest
- Customary and metric units of measurement
- Organizing, displaying, and interpreting data
- Graphing equations and slopes
- Polygons and solids
- The Pythagorean theorem
- Exponents
- Polynomials
- Probability

### About the Author

### Table of Contents

(Expand All - Close All)#### 1. Whole Numbers

- 1.1 Introduction to Whole Numbers
- 1.1.1 Reading and Writing Whole Numbers

- 1.1.2 Rounding Whole Numbers

- 1.2 Operations with Whole Numbers
- 1.2.1 Adding Whole Numbers

- 1.2.2 Subtracting Whole Numbers

- 1.2.3 Multiplying Whole Numbers

- 1.2.4 Dividing Whole Numbers

- 1.2.5 Properties

#### 2. Integers

- 2.1 Introduction to Integers
- 2.1.1 Integers and the Number Line

- 2.2 Operations with Integers
- 2.2.1 Addition of Integers

- 2.2.2 Subtraction of Integers

- 2.2.3 Multiplication and Division of Integers

- 2.2.4 Introduction to Exponents

- 2.2.5 Using the Order of Operations

#### 3. Fractions

- 3.1 Introduction to Fractions
- 3.1.1 Factors, Multiples, and Equivalent Fractions

- 3.2 Operations with Fractions
- 3.2.1 Multiplying Fractions and Mixed Numbers

- 3.2.2 Dividing Fractions and Mixed Numbers

- 3.2.3 Adding and Subtracting Fractions and Mixed Numbers

#### 4. Decimals

- 4.1 Introduction to Decimals
- 4.1.1 Representing, Comparing, and Ordering Decimals

- 4.1.2 Rounding and Estimating Decimals

- 4.2 Operations with Decimals
- 4.2.1 Adding and Subtracting Decimals

- 4.2.2 Multiplying Decimals

- 4.2.3 Dividing Decimals

- 4.3 Fractions and Decimals
- 4.3.1 Converting between Fractions and Decimals

#### 5. Variables, Expressions, and Equations

- 5.1 Introduction to Equations
- 5.1.1 Variables and Expressions

- 5.1.2 Translating Between Words and Math

- 5.1.3 Simplifying Algebraic Expressions

- 5.1.4 Translating Between Tables and Expressions

- 5.1.5 Equations and Their Solutions

- 5.2 Introduction to Solving Equations
- 5.2.1 Solving Addition Equations

- 5.2.2 Solving Subtraction Equations

- 5.2.3 Solving Multiplication Equations

- 5.2.4 Solving Division Equations

#### 6. Solving Equations and Inequalities

- 6.1 Solving Equations
- 6.1.1 Solving Equations Containing Integers

- 6.1.2 Writing and Solving Two-Step Equations

- 6.1.3 Writing and Solving Multi-Step Equations

- 6.1.4 Solving Equations with Variables on Both Sides

- 6.2 Solving Inequalities
- 6.2.1 Inequalities

- 6.2.2 Solving Inequalities by Adding or Subtracting

- 6.2.3 Solving Inequalities by Multiplying or Dividing

- 6.2.4 Solving Two-Step Inequalities

#### 7. Ratios, Proportions, and Percents

- 7.1 Ratios and Proportions
- 7.1.1 Ratios and Rates

- 7.1.2 Proportions

- 7.1.3 Finding an Unknown Value in a Proportion

- 7.1.4 Applications of Proportions

- 7.2 Percents
- 7.2.1 Introduction to Percents

- 7.2.2 Percents

- 7.2.3 Relating Percents, Decimals, and Fractions

- 7.2.4 Estimating with Percents

- 7.2.5 Finding and Using Percents

- 7.3 Interest
- 7.3.1 Simple Interest

- 7.3.2 Compound Interest

#### 8. Measurement, Statistics, and Graphs

- 8.1 Measurement
- 8.1.1 Understanding Customary Units of Measurement

- 8.1.2 Understanding Metric Units of Measurement

- 8.1.3 Converting Customary Units

- 8.1.4 Converting Metric Units

- 8.1.5 Converting between Customary and Metric Units

- 8.1.6 Time and Temperature

- 8.2 Organizing, Displaying, and Interpreting Data
- 8.2.1 Organizing Data

- 8.2.2 Bar Graphs and Histograms

- 8.2.3 Line Graphs

- 8.2.4 Reading and Interpreting Circle Graphs

- 8.2.5 Measures of Central Tendency

- 8.2.6 Box-and-Whisker Plots

- 8.3 Graphing Equations and Slope
- 8.3.1 The Coordinate Plane

- 8.3.2 Tables and Graphs

- 8.3.3 Graphing Linear Equations

- 8.3.4 Graphing Using Intercepts

- 8.3.5 An Introduction to Slope

- 8.3.6 Finding the Slope Given Two Points

#### 9. Geometry

- 9.1 Polygons
- 9.1.1 Triangles

- 9.1.2 Quadrilaterals

- 9.1.3 Finding Angles in Polygons

- 9.2 Polygon Relationships
- 9.2.1 Similar Figures

- 9.2.2 Congruent Figures

- 9.3 Area, Perimeter, and Circumference
- 9.3.1 Perimeter

- 9.3.2 Area of Rectangles and Parallelograms

- 9.3.3 Area of Triangles and Trapezoids

- 9.3.4 Circles and Circumference

- 9.3.5 Area of Circles

- 9.3.6 Area of Composite Figures

- 9.3.7 Comparing Perimeter and Area

- 9.4 The Pythagorean Theorem
- 9.4.1 Square Roots and the Pythagorean Theorem

- 9.5 Solids
- 9.5.1 Introduction to Three-Dimensional Figures

- 9.5.2 Volume of Prisms and Cylinders

- 9.5.3 Volume of Pyramids and Cones

- 9.5.4 Surface Area of Prisms and Cylinders

- 9.5.5 Surface Area of Pyramids and Cones

- 9.5.6 Volume and Surface Area of Spheres

#### 10. Exponents and Polynomials

- 10.1 Exponents
- 10.1.1 Product and Power Properties of Exponents

- 10.1.2 Integer Exponents

- 10.1.3 Quotient Properties of Exponents

- 10.1.4 An Application of Exponents: Scientific Notation

- 10.2 Introduction to Polynomials
- 10.2.1 Introduction to Polynomials

- 10.2.2 Simplifying Polynomials

- 10.3 Operations with Polynomials
- 10.3.1 Adding and Subtracting Polynomials

- 10.3.2 Multiplying and Dividing Monomials

- 10.3.3 Multiplying Monomials by Polynomials

- 10.3.4 Multiplying Binomials

- 10.4 Factoring Polynomials
- 10.4.1 Factoring with the GCF

- 10.4.2 Factoring by Grouping

- 10.4.3 Factoring Trinomials

#### 11. Probability

- 11.1 Understanding Probability
- 11.1.1 Introduction to Probability

- 11.1.2 Experimental Probability

- 11.1.3 Counting Methods and Sample Spaces

- 11.1.4 Theoretical Probability

- 11.2 Using Probability
- 11.2.1 Compound Events

- 11.2.2 Making Predictions

- 11.2.3 Probability of Independent and Dependent Events

- 11.2.4 Permutations and Combinations