Algebra 1

77 Lessons · 599 Topics599 topics

Unit 1

Real Numbers and Sets

Unit 2

Algebraic Expressions

Unit 3

Linear Equations

Unit 4

Ratios, Proportions, and Percents

Unit 5

Linear Inequalities

Unit 6

Compound and Absolute-Value Inequalities

Unit 7

Relations and Functions

Unit 8

Function Graphs and Data Relationships

Unit 9

Linear Functions and Rates of Change

Unit 10

Linear Equations and Transformations

Unit 11

Systems of Linear Equations

Unit 12

Linear Inequalities in Two Variables

Unit 13

Exponents and Scientific Notation

Unit 14

Polynomial Operations

Unit 15

Common-Factor and Trinomial Factoring

Unit 16

Special Factoring Patterns and Strategy

Unit 17

Quadratic Functions

Unit 18

Quadratic Equations

Unit 19

Probability

Unit 20

Data Displays and Statistics

Estimating Probability Experimentally

Start

Algebra 1

Fundamentals of Set Theory

Real-Number Addition and Subtraction

Real-Number Multiplication and Division

Understanding Powers and Exponents

Real Numbers and Their Square Roots

Working with Variables and Expressions

Applying the Order of Operations

Methods for Simplifying Expressions

Equations Using Addition and Subtraction

Equations Using Multiplication and Division

Two-Step Equation Solutions

Multi-Step Equation Solutions

Equations with Variables on Each Side

Understanding Rates, Ratios, and Proportions

Using Proportions

Understanding Percents

Using Percents

Increases and Decreases by Percent

Representing Inequalities with Graphs and Symbols

Using Addition or Subtraction to Solve Inequalities

Using Multiplication or Division to Solve Inequalities

Two-Step and Multi-Step Inequality Solutions

Inequalities with Variables on Each Side

Methods for Compound Inequalities

Function Fundamentals

Representing Relationships Graphically

Understanding Relations and Functions

Formulating Function Rules

Representing Functions Graphically

Recognizing Linear Functions

Applications of Intercepts

Understanding Slope as a Rate of Change

Calculating Slope with the Slope Formula

Using Slope-Intercept Form

Using Point-Slope Form

Comparing Slopes of Parallel and Perpendicular Lines

Transformations of Linear Functions

Graphical Solutions of Systems

Substitution Method for Systems

Elimination Method for Systems

Methods for Special Systems

Applications of Systems of Equations

Graphical Representation of Linear Inequalities

Linear Inequality System Solutions

Exponent Rules for Products and Powers

Understanding Integer Exponents

Exponent Rules for Quotients

Using Exponents in Scientific Notation

Polynomial Fundamentals

Polynomial Addition and Subtraction

Products of Polynomials and Monomials

Products of Binomials

Understanding Factors and Greatest Common Factors

Using the GCF for Factoring

Factorization of x² + bx + c

Factorization of ax² + bx + c

Special-Product Factorization

Selecting Methods for Factoring

Recognizing Quadratic Functions

Analyzing Quadratic Function Characteristics

Representing Quadratic Functions Graphically

Transformations of Quadratic Functions

Graphical Solutions of Quadratic Equations

Factoring Method for Quadratic Equations

Square-Root Method for Quadratic Equations

Using the Completing-the-Square Method

Using the Quadratic Formula

Understanding the Discriminant

Estimating Probability Experimentally

Calculating Probability Theoretically

Counting with Combinations and Permutations

Understanding Independent and Dependent Events

Interpreting Bar, Circle, and Line Graphs

Interpreting Stem-and-Leaf Plots and Histograms

Analyzing Scatter Plots and Trend Lines

Calculating Mean, Median, Mode, and Range

Interpreting Box-and-Whisker Plots