Algebra 1 Topics

Below is a list of the Algebra 1 topics covered by our tutorial library.
View the Algebra 1 Inventory to see a list of all of our Algebra 1 tutorials, all in one place.

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• Getting Ready for Algebra

  • Fractions

    • Fraction Basics
    • Mixed Fractions and Improper Fractions
    • Complex Fractions
    • More Practice With Fractions

  • Foundational Skills

    • Problem Solving
    • Perimeter

• Foundations for Algebra

  • Variables and Expressions

    • Introduction to Algebraic Expressions
    • Translating Between Words and Math

  • Representing and Comparing Real Numbers

    • Sets and Number Lines
    • Inequalities and Comparing Real Numbers

  • Real Number Types and Properties

    • Types of Numbers
    • Real Number Properties

  • Adding and Subtracting Real Numbers

    • Adding Real Numbers
    • Subtracting Real Numbers

  • Multiplying and Dividing Real Numbers

    • Multiplying Real Numbers
    • Dividing Real Numbers

  • Powers and Square Roots

    • Powers and Exponents
    • Square Roots

  • Simplifying Algebraic Expressions

    • Order of Operations
    • Simplifying Expressions
    • The Distributive Property

• Solving Linear Equations

  • One-Step Equations

    • Properties of Equality
    • Solving One-Step Equations

  • Two-Step and Multi-Step Equations

    • Solving Two-Step Equations
    • Solving Multi-Step Equations

  • Equations with Variables on Both Sides

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

  • Solving For a Variable and Working with Formulas

    • Solving For a Variable
    • Working with Formulas

  • Ratios and Proportions

    • Proportion Definitions
    • Working with Proportions
    • Rates and Dimensional Analysis
    • Similar Figures and Indirect Measurement

  • Percents and Percent of Change

    • Percents and Percent Proportions
    • Percent of Change

• Relations and Functions

  • The Coordinate Plane

    • Graphing in the Coordinate Plane

  • Relations

    • Relation Definitions
    • Working With Relations

  • Functions

    • Function Definitions and Function Notation
    • Working With Functions
    • Linear and Nonlinear Functions

  • Graphing Linear Equations

    • Identifying Linear Equations
    • Working With Graphs

  • Transformations

    • Transformations of Linear Functions
    • Transformations of Figures in the Coordinate Plane

  • Arithmetic Sequences

    • Arithmetic Sequence Definitions
    • Finding Terms in Arithmetic Sequences

• Analyzing Linear Equations

  • Rate of Change and Slope

    • Defining Slope
    • Finding Slopes

  • Using Intercepts

    • Working With Intercepts
    • Horizontal and Vertical Lines

  • Slope-Intercept Form

    • Working with Slope-Intercept Form

  • Point-Slope Form and Standard Form

    • Working with Point-Slope Form
    • Working with Standard Form

  • Direct Variation

    • Direct Variation Definitions
    • Using Direct Variation

  • Parallel and Perpendicular Lines

    • Parallel Lines
    • Perpendicular Lines

  • Scatter Plots and Correlation

    • Defining Scatter Plots and Correlation
    • Finding Correlations with Scatter Plots

• Solving and Graphing Linear Inequalities

  • Solving Inequalities Using Addition and Subtraction

    • Solving Inequalities Using Addition
    • Solving Inequalities Using Subtraction

  • Solving Inequalities Using Multiplication and Division

    • Solving Inequalities Using Multiplication
    • Solving Inequalities Using Division

  • Multi-Step Inequalities

    • Solving Multi-Step Inequalities
    • Solving Inequalities With Variables on Both Sides

  • Compound Inequalities

    • Solving and Graphing 'AND' Compound Inequalities
    • Solving and Graphing 'OR' Compound Inequalities

  • Absolute Value Equations

    • Graphing Absolute Value Functions

  • Absolute Value Inequalities

    • Writing Absolute Value Inequalities
    • Solving Absolute Value Inequalities

  • Graphing Inequalities in Two Variables

    • Graphing Inequalities in the Coordinate Plane

• Systems of Equations and Inequalities

  • Solving Systems of Equations By Graphing

    • Solving Systems By Graphing

  • Solving Systems of Equations Using Substitution

    • Solving Systems Using Substitution

  • Solving Systems of Equations Using Elimination

    • Elimination by Addition and Subtraction
    • Elimination by Multiplication

  • Solving Special Systems

    • Systems with Infinite Solutions
    • Systems with No Solution
    • Non-Linear Systems

  • Systems of Inequalities

    • Solving Systems of Inequalities

• Exponents and Exponential Functions

  • Properties of Exponents

    • Rules of Exponents
    • Negative and Zero Exponents
    • Using Rules of Exponents

  • Monomials and Polynomials

    • Monomials
    • Polynomials

  • Scientific Notation

    • Working with Scientific Notation

  • Exponential Functions

    • Identifying and Evaluating Exponential Functions
    • Graphs of Exponential Functions

  • Exponential Growth and Decay

    • Exponential Growth
    • Exponential Decay

  • Geometric Sequences

    • Geometric Sequence Definitions
    • Finding Terms in Geometric Sequences

• Polynomials and Factoring

  • Adding and Subtracting Polynomials

    • Adding Polynomials
    • Subtracting Polynomials

  • Multiplying Polynomials

    • Multiplying Using FOIL
    • Multiplying Using the Distributive Property

  • Special Products of Polynomials

    • Squares of Sums and Differences
    • Product of a Sum and a Difference

  • Factors and Greatest Common Factors

    • Factors
    • Greatest Common Factors

  • Factoring Trinomials

    • Factoring x^2+bx+c
    • Factoring ax^2+bx+c

  • Factoring Special Products

    • Difference of Squares and Cubes
    • Factoring Perfect Square Trinomials

  • Choosing Factoring Strategies and Solving Polynomial Equations

    • Solving Polynomial Equations
    • Factoring by Grouping and Choosing a Factoring Strategy

• Quadratic Equations and Functions

  • Graphing Quadratic Functions

    • Graphs of Quadratic Functions
    • Transforming Quadratic Graphs

  • Solve Quadratics by Graphing

    • Graphing Definitions and Examples

  • Solve Quadratics by Factoring and with Square Roots

    • Solving Quadratics by Factoring
    • Solving Quadratics Using Square Roots

  • Completing the Square

    • Solving Quadratics by Completing the Square

  • The Quadratic Formula and the Discriminant

    • Solving Quadratics Using the Quadratic Formula
    • Using the Discriminant

  • Comparing Linear, Quadratic, and Exponential Models

    • Comparing Models Graphically

• Radical Expressions and Equations

  • Simplifying Radical Expressions

    • Multiplying and Dividing Radicals
    • Simplest Radical Form

  • Operations with Radical Expressions

    • Adding and Subtracting Radicals

  • Graphs of Square Root Functions

    • Graphing Square Root Functions

  • Solve Radical Equations

    • Solving Radical Equations

  • The Pythagorean Theorem

    • Using The Pythagorean Theorem
    • Trigonometric Ratios

  • The Distance and Midpoint Formulas

    • The Distance Formula
    • The Midpoint Formula

• Rational Expressions and Functions

  • Inverse Variation

    • Working with Inverse Variation

  • Rational Functions

    • Defining Rational Functions
    • Graphing Rational Functions

  • Rational Expressions

    • Simplifying Rational Expressions
    • Excluded Values

  • Multiplying and Dividing Rational Expressions

    • Multiplying Rational Expressions
    • Dividing Rational Expressions

  • Dividing Polynomials

    • Long Division with Polynomials

  • Adding and Subtracting Rational Expressions

    • Adding and Subtracting with Like Denominators
    • Adding and Subtracting with Unlike Denominators

  • Mixed Expressions and Complex Fractions

    • Mixed Expressions
    • Complex Expressions

  • Solve Rational Equations

    • Solving Rational Equations
    • Special Rational Equations

• Probability and Data Analysis

  • Simple Probability and Odds

    • Simple Probability

  • Permutations and Combinations

    • Permutations
    • Combinations

  • Probability of Compound Events

    • Independent and Dependent Events

  • Sampling Methods and Displaying Data

    • Populations and Sampling Methods
    • Graphs and Displaying Data

  • Measures of Central Tendency and Dispersion

    • Measures of Central Tendency
    • Measures of Dispersion

  • Frequency and Histograms

    • Frequency Tables and Histograms