Pre-Algebra Topics

Below is a list of the Pre-Algebra topics covered by our tutorial library.
View the Pre-Algebra Inventory to see a list of all of our Pre-Algebra tutorials, all in one place.

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• The Tools of Algebra

  • Expressions and Variables

    • Evaluating Expressions
    • Translating Between Words and Math

  • Properties of Numbers

    • Commutative Associative and Identity Properties

  • Ordered Pairs, Relations, and the Coordinate Plane

    • Ordered Pairs and The Coordinate Plane
    • Relations

  • Integers and Absolute Value

    • Working with Integers
    • Absolute Value

  • Adding and Subtracting Integers

    • Adding Integers
    • Subtracting Integers

  • Multiplying and Dividing Integers

    • Multiplying Integers
    • Dividing Integers

• Solving One- and Two-Step Equations

  • The Distributive Property

    • Using the Distributive Property

  • Simplifying Algebraic Expressions

    • Simplifying Expressions

  • Variables and Equations

    • Working With Equations

  • Solving Equations by Adding or Subtracting

    • Solving Equations by Adding
    • Solving Equations by Subtracting

  • Solving Equations by Multiplying or Dividing

    • Solving Equations by Multiplying
    • Solving Equations by Dividing

  • Two-Step Equations

    • Solving Two-Step Equations

• Multi-Step Equations and Inequalities

  • Multi-Step Equations

    • Solving Multi-Step Equations
    • Consecutive Numbers

  • Equations with Variables on Both Sides

    • Solving Equations with Variables on Both Sides
    • Identity Equations and Equations with No Solution

  • Inequalities and their Graphs

    • Defining Inequalities
    • Graphs of Inequalities

  • Solving Inequalities by Adding and Subtracting

    • Solving Inequalities by Adding
    • Solving Inequalities by Subtracting

  • Solving Inequalities by Multiplying and Dividing

    • Solving Inequalities by Multiplying
    • Solving Inequalities by Dividing

  • Multi-Step Inequalities

    • Solving Multi-Step Inequalities

  • Formulas

    • Solving for a Variable
    • Using Formulas

• Factors, Fractions, and Exponents

  • Divisibility and Factors

    • Divisibility
    • Factors and Monomials

  • Prime Factorization and Greatest Common Factor

    • Prime Factorization
    • Greatest Common Factor

  • Simplifying Fractions

    • Finding Equivalent Fractions
    • Simplifying Algebraic Fractions

  • Least Common Multiple

    • Multiples and Common Multiples
    • Least Common Denominator

  • Powers and Exponents

    • Working with Exponents

  • Properties of Exponents

    • Rules of Exponents
    • Negative and Zero Exponents
    • Exponent Rules and Monomials

  • Scientific Notation

    • Powers of 10
    • Working with Scientific Notation

• Rational Numbers

  • Rational Numbers Definitions and Basics

    • Rational Number Definitions
    • Converting Decimals and Fractions
    • Comparing Rational Numbers

  • Adding and Subtracting Fractions

    • Adding Fractions
    • Subtracting Fractions

  • Multiplying and Dividing Fractions

    • Multiplying Fractions
    • Dividing Fractions

  • Decimal Operations

    • Decimal Operation Problems
    • Estimation and Rounding

  • Solving Fraction Equations

    • Solving One-Step Fraction Equations
    • Solving Multi-Step Fraction Equations

  • Solving Decimal Equations

    • Solving One-Step Decimal Equations
    • Solving Multi-Step Decimal Equations

  • Solving Inequalities with Rational Numbers

    • Solving Inequalities with Fractions
    • Solving Inequalities with Decimals

• Ratios and Proportions

  • Ratios

    • Ratio Definitions
    • Working with Ratios

  • Rates and Unit Rates

    • Using Rates and Unit Rates
    • Dimensional Analysis

  • Proportions and Proportionality

    • Determining Proportionality
    • Solving Proportions

  • Similar Figures and Indirect Measurement

    • Similar Figures
    • Indirect Measurement

  • Scale Models

    • Using Scale Models

• Percents

  • Fractions, Decimals, and Percents

    • Percent Basics

  • The Percent Proportion

    • Using the Percent Proportion

  • The Percent Equation

    • Using the Percent Equation

  • Percent of Change

    • Finding Percent of Change

  • Finding Percents Mentally and Estimating Percents

    • Finding Percents Mentally
    • Estimating Percents

  • Applications of Percents

    • Price Applications
    • Simple Interest
    • Compound Interest

• Linear Functions and Graphing

  • Functions

    • Function Definitions and Notation
    • Determining if Relations are Functions

  • Linear Equations

    • Introduction to Linear Equations
    • X- and Y-Intercepts

  • Rate of Change and Slope

    • Rate of Change
    • Slope Defintions
    • Finding Slopes

  • Slope-Intercept Form

    • Working with Slope-Intercept Form

  • Point-Slope Form

    • Working with Point-Slope Form
    • Parallel and Perpendicular Lines

  • Direct Variation

    • Direct Variation Definitions
    • Working with Direct Variation

  • Systems of Equations

    • Definitions of Systems
    • Solving Systems of Equations

  • Linear Inequalities

    • Graphing Linear Inequalities
    • Systems of Linear Inequalities

  • Scatter Plots and Best-Fit Lines

    • Defining Scatter Plots and Correlation
    • Using Scatter Plots and Making Predictions

• Geometry

  • Points, Lines, Planes, and Angles

    • Points and Lines
    • Planes and Angles

  • Angle Relationships and Parallel Lines

    • Angle Definitions
    • Finding Missing Angles
    • Parallel Lines and Transversals

  • Polygons

    • Polygon Definitions
    • Finding Angles in Polygons

  • Quadrilaterals

    • Quadrilateral Definitions
    • Finding Angles in Quadrilaterals

  • Triangles

    • Triangle Definitions
    • Finding Angles in Triangles

  • Congruence

    • Finding Corresponding Parts

  • Transformations and Symmetry

    • Transformation Definitions
    • Translating Figures
    • Reflecting Figures
    • Rotating Figures
    • Dilating Figures

• Real Numbers and Right Triangles

  • Squares and Square Roots

    • Definitions and Properties of Square Roots
    • Working with Square Roots

  • Irrational and Real Numbers

    • Real Number Definitions
    • Comparing and Classifying Numbers

  • The Pythagorean Theorem

    • Right Triangles and the Pythagorean Theorem
    • Using the Pythagorean Theorem

  • The Distance and Midpoint Formulas

    • The Distance Formula
    • The Midpoint Formula

  • Special Right Triangles

    • 45°-45°-90° Right Triangles
    • 30°-60°-90° Right Triangles

  • Trigonometric Ratios

    • Finding Missing Angles
    • Finding Missing Sides

• Perimeter, Area and Volume

  • Perimeter and Area

    • Perimeter
    • Area Formulas
    • Using Area Formulas

  • Circles

    • Circle Definitions
    • Circumference
    • Areas of Circles and Sectors

  • Three-Dimensional Figures

    • Definitions of Three-Dimensional Figures
    • Identifying Three-Dimensional Figures

  • Volume

    • Volume Formulas
    • Finding Volumes

  • Surface Area

    • Surface Area Definitions and Formulas
    • Finding Lateral and Surface Areas

  • Similar Solids

    • Working with Similar Solids

• Probability and Data Analysis

  • Probability and Odds

    • Simple Probability

  • Counting Outcomes

    • Finding Outcomes

  • Permutations and Combinations

    • Factorials
    • Permutations

  • Compound Events

    • Independent and Dependent Events

  • Sampling Methods

    • Populations and Sampling Methods

  • Measures of Central Tendency and Variation

    • Measures of Central Tendency
    • Measures of Variation

  • Displaying Data

    • Graphs and Displaying Data

  • Frequency and Histograms

    • Frequency Tables and Histograms

• Polynomials and Nonlinear Functions

  • Polynomials

    • Polynomial Definitions
    • Degrees of Monomials and Polynomials

  • Adding and Subtracting Polynomials

    • Adding Polynomials
    • Subtracting Polynomials

  • Multiplying and Dividing Monomials and Polynomials

    • Multiplying Monomials and Polynomials

  • Multiplying Binomials

    • FOIL and Multiplying Binomials
    • Special Products of Binomials

  • Non-Linear Functions

    • Identifying Linear Functions
    • Quadratic Functions
    • Cubic Functions
    • Absolute Value Functions

  • Exponential Functions, Growth and Decay

    • Exponential Functions
    • Exponential Growth and Decay

  • Sequences

    • Arithmetic Sequences
    • Geometric Sequences

  • Inverse Variation

    • Working with Inverse Variation