Prealgebra Topics

An Introduction to Algebra
Mathematical Expressions and Variables
Order of Operations
Translating Verbal Phrases to Algebraic Statements

The Decimal System
The Decimal System
Properties of Real Numbers
Combining Like Terms

Positive and Negative Numbers
The Integers
Decimals on the Number Line
Adding Integers
Subtracting Integers
Multiplying Integers
Dividing Integers
Negative Integers as Exponents
Scientific Notation

Rational Numbers
Positive and Negative Fractions
Equivalent Fractions
Least Common Denominator
Adding and Subtracting Fractions
Multiplying Fractions
Dividing Fractions
Fractions and Decimals

Coming soon...
Equations and Inequalities
Properties of Equality
Equivalent Equations
Solving Equations with Addition and Subtraction
Solving Equations with Multiplication and Division
Using Several Transformations
Equivalent Inequalities
Solving Inequalities by Several Transformations
Translating Equations into Problems
Translating Problems into Equations

Points, Lines, and Planes
Special Angles
Parallel Lines
Special Quadrilaterals
Polygons and their Perimeters
Congruent Polygons

Ratio, Proportion, and Percent
Ratio and Proportion
Using Rates
Scale Drawings
Percents, Fractions, and Decimals
Working with Percents
Percent of Increase and Decrease
Commissions, Discounts, Royalties
Percents and Proportions

The Coordinate Plane
The Coordinate Plane
Equations in Two Variables
Graphing Equations in the Coordinate Plane
Graphing a System of Equations
Using Graphs
Graphing Inequalities

Areas and Volumes
Areas of Rectangles and Triangles
Areas of Quadrilaterals
Areas of Circles
Areas of Symmetric Figures
Volumes of Prisms and Cylinders
Volumes of Pyramids and Cones
Surface Areas of Prisms and Cylinders
Volumes and Surface Areas of Spheres
Mass and Density

Square Roots and Right Triangles
Square Roots
Approximating Square Roots
Using a Square Root Table
The Pythagorean Theorem
Similar Triangles
Special Right Triangles
Trigonometric Ratios
Solving Right Triangles

The Probability of an Event
Odds in Favor and Odds Against
Mutually Exclusive Events
Overlapping Events
Independent Events
Dependent Events
Estimating Probabilities

Bar Graphs
Line Graphs
Statisical Measures
Frequency Distributions
Stem-and-Leaf Plots
Box-and-Whisker Plots
Histograms and Frequency Distributions
Expected Value of a Random Variable

Polynomial Expressions
Adding and Subtracting Polynomials
Multiplying and Dividing Monomials
Multiplying and Dividing a Polynomial by a Monomial
Multiplying Polynomials
Dividing Polynomials