Black and White high-school students collaborating on algebra

Solve It with Algebra

Build confidence step-by-step—and learn how to solve problems like a pro.

Unit 3 - Introduction to Exponents, Roots, and Logarithms

Exponents, roots, and logarithms are powerful math tools that help us understand really big numbers, really small numbers, and how things grow or shrink. From measuring earthquakes to tracking population growth to cracking secret codes, these ideas reveal hidden patterns in the world around us.

Editorial math illustration for Introduction to Exponents and Base Numbers
Lesson 17
Introduction to Exponents and Base Numbers
Editorial math illustration for Understanding and Using Powers of 10
Lesson 18
Understanding and Using Powers of 10
Editorial math illustration for Evaluating Exponents Using a Scientific Calculator
Lesson 19
Evaluating Exponents Using a Scientific Calculator
Editorial math illustration for Practice Problems - Understanding Square and Cube Numbers
Lesson 20
Practice Problems - Understanding Square and Cube Numbers
Editorial math illustration for Writing Numbers in Scientfic Notation
Lesson 21
Writing Numbers in Scientfic Notation
Editorial math illustration for Scientific Notation - Negative Numbers
Lesson 22
Scientific Notation - Negative Numbers
Editorial math illustration for Review - Introduction to Scientific Notation
Lesson 23
Review - Introduction to Scientific Notation
Editorial math illustration for Square Numbers and Square Roots
Lesson 24
Square Numbers and Square Roots
Editorial math illustration for Perfect Squares, Principal Squares, Rational vs. Irrational Numbers
Lesson 25
Perfect Squares, Principal Squares, Rational vs. Irrational Numbers
Editorial math illustration for Practice Problems - Square Roots
Lesson 26
Practice Problems - Square Roots
Editorial math illustration for Understanding Cube Roots
Lesson 27
Understanding Cube Roots
Editorial math illustration for Practice Problems - Using a Calculator for Square Roots
Lesson 28
Practice Problems - Using a Calculator for Square Roots
Editorial math illustration for What Does Square Roots, Cube Roots, and Higher Roots Really Mean?
Lesson 29
What Does Square Roots, Cube Roots, and Higher Roots Really Mean?
Editorial math illustration for Understanding Roots Through Inverse Operations
Lesson 30
Understanding Roots Through Inverse Operations

Unit 1 - Algebra Basics

Unit 1 will help you understand the building blocks of algebra so you can confidently read, write, and solve mathematical expressions. You’ll learn how variables, constants, equations, and operations all work together. By the end of this unit, you’ll be able to substitute numbers, balance equations, and solve basic algebra problems with ease.

Editorial math illustration for What is Algebra?
Lesson 1
What is Algebra?
A balanced scale holding equal groups of colorful math blocks Interactive Worksheet
Interactive Worksheet 1
Balance Basics
Editorial math illustration for Constants and Variables
Lesson 2
Constants and Variables
Editorial math illustration for Substituting Numbers into Expressions
Lesson 3
Substituting Numbers into Expressions
Editorial math illustration for Writing and Evaluating Word Problems with Substitution
Lesson 4
Writing and Evaluating Word Problems with Substitution
Editorial math illustration for Expressions vs. Equations
Lesson 5
Expressions vs. Equations
Editorial math illustration for Inverse Operations
Lesson 6
Inverse Operations
Colorful inverse-operation tiles connected in matching pairs Interactive Worksheet
Interactive Worksheet 2
Inverse Operations & Balance
Editorial math illustration for Balancing Equations with Addition and Subtraction
Lesson 7
Balancing Equations with Addition and Subtraction
A balance model showing the same blocks removed from both sides Interactive Worksheet
Interactive Worksheet 3
Addition & Subtraction Equations
Editorial math illustration for Coefficients and Terms
Lesson 8
Coefficients and Terms
Variable tiles and constant tiles grouped separately on graph paper Interactive Worksheet
Interactive Worksheet 4
Coefficients, Constants & Multiplication
Colorful counters divided evenly into equal groups Interactive Worksheet
Interactive Worksheet 5
Division Equations
Editorial math illustration for Solving Subtraction Equations
Lesson 9
Solving Subtraction Equations
Four operation tiles surrounding a balance and an unknown Interactive Worksheet
Interactive Worksheet 6
Mixed One-Step Equations
A two-stage balance model for solving a two-step equation Interactive Worksheet
Interactive Worksheet 7
Two-Step Equations
Editorial math illustration for Types of Numbers
Lesson 10
Types of Numbers
An open notebook translating real-world objects into algebra models Interactive Worksheet
Interactive Worksheet 8
Equation Stories & Review
Variable and constant tiles sorted into matching groups Interactive Worksheet
Interactive Worksheet 9
Combining Like Terms

Unit 2 - Properties of Algebra

Unit 2 helps students understand the core properties that make algebra work, such as the associative, commutative, distributive, and transitive properties. Students will learn how these properties simplify expressions, make problem-solving easier, and reveal patterns that show up in real-life situations.

Editorial math illustration for What Are the Properties of Algebra?
Lesson 11
What Are the Properties of Algebra?
Editorial math illustration for The Associative Property: Grouping and Order
Lesson 12
The Associative Property: Grouping and Order
Editorial math illustration for The Commutative Property of Algebra
Lesson 13
The Commutative Property of Algebra
Editorial math illustration for The Transitive Property
Lesson 14
The Transitive Property
Editorial math illustration for The Distributive Property
Lesson 15
The Distributive Property
Editorial math illustration for Putting It All Together: Mastering Algebra’s Properties
Lesson 16
Putting It All Together: Mastering Algebra’s Properties

Unit 4 - Ratios, Proportions and Percents

Learn to describe relationships with ratios, solve real problems with proportions, and unlock the meaning of percents.

Editorial math illustration for Fractions and Ratios Warmup
Lesson 31
Fractions and Ratios Warmup
Editorial math illustration for Identifying and Writing Ratios
Lesson 32
Identifying and Writing Ratios
Editorial math illustration for Equivalent Ratios
Lesson 33
Equivalent Ratios
Editorial math illustration for Applying Ratios
Lesson 34
Applying Ratios
Editorial math illustration for Ratios and Equivalent Ratios
Lesson 35
Ratios and Equivalent Ratios
Editorial math illustration for Ratios and Proportional Relationships
Lesson 36
Ratios and Proportional Relationships
Editorial math illustration for Finding the Constant of Proportionality
Lesson 37
Finding the Constant of Proportionality
Editorial math illustration for Converting Fractions, Decimals, and Percents
Lesson 38
Converting Fractions, Decimals, and Percents
Editorial math illustration for Fractions, Decimals, and Proportional Relationships
Lesson 39
Fractions, Decimals, and Proportional Relationships
Editorial math illustration for Review: What are Constants and Variables?
Lesson 40
Review: What are Constants and Variables?
Editorial math illustration for Equations from Proportional Tables
Lesson 41
Equations from Proportional Tables
Editorial math illustration for Comparing Two Constants
Lesson 42
Comparing Two Constants
Editorial math illustration for Scaling and Real World Applications
Lesson 43
Scaling and Real World Applications
Editorial math illustration for Equations, Tables, and Solving for x or y
Lesson 44
Equations, Tables, and Solving for x or y
Editorial math illustration for Is it Proportional?
Lesson 45
Is it Proportional?
Editorial math illustration for From Tables to Graphs - Seeing Proportional Relationships
Lesson 46
From Tables to Graphs - Seeing Proportional Relationships
Editorial math illustration for Data Visualization and Proportionality
Lesson 47
Data Visualization and Proportionality

Unit 5 - Probability and Statistics

Probability helps us understand how likely something is to happen. From flipping coins to rolling dice to drawing cards, probability gives us a way to measure chance and make predictions about events, even when the outcome is uncertain.

Editorial math illustration for Understanding Probability
Lesson 48
Understanding Probability
Editorial math illustration for Independent and Dependent Events
Lesson 49
Independent and Dependent Events
Editorial math illustration for Mutually Exclusive and Mutually Inclusive Events
Lesson 50
Mutually Exclusive and Mutually Inclusive Events
Editorial math illustration for Understanding Data Tables
Lesson 51
Understanding Data Tables

Unit 6 - Area and Perimeter

This unit will teach you how to find the area (space inside) and perimeter (distance around) of different shapes, including squares, rectangles, parallelograms, trapezoids, and circles. By learning the formulas and practicing with real-life examples, you’ll see how geometry connects to everyday things like fields, playgrounds, and pizzas.

Editorial math illustration for Rectangles and Squares - Find the Perimeter
Lesson 52
Rectangles and Squares - Find the Perimeter
Editorial math illustration for Rectangles and Squares - Find the Area
Lesson 53
Rectangles and Squares - Find the Area
Editorial math illustration for Rectangles and Squares - Missing Information with Area and Perimeter
Lesson 54
Rectangles and Squares - Missing Information with Area and Perimeter

Unit 7 - Mastering Inequalities

Inequalities help us compare numbers and describe all the values that make a statement true—not just a single answer. In this unit, you will learn how to read, solve, and graph inequalities so you can understand real-world situations like budgets, limits, and conditions. Once you understand how inequalities work, you will be able to solve problems with multiple steps and represent entire ranges of solutions with confidence.

Editorial math illustration for Reintroduction to Equations
Lesson 55
Reintroduction to Equations
Editorial math illustration for Understanding Inequalities
Lesson 56
Understanding Inequalities
Editorial math illustration for Solving One-Variable Inequalities
Lesson 57
Solving One-Variable Inequalities
Editorial math illustration for Solving Two-Step Compound Inequalities
Lesson 58
Solving Two-Step Compound Inequalities
Editorial math illustration for Graphing Compound Inequalities Using Interval Notation
Lesson 59
Graphing Compound Inequalities Using Interval Notation

Unit 8 - Rules of Exponents

Exponents help us write large and small numbers in a quick and powerful way, but they also follow special rules that make them easier to work with. These rules—called the Laws of Exponents—tell us how exponents behave when we multiply, divide, or raise powers to other powers. Once you understand these laws, you can simplify expressions faster, solve equations more easily, and make sense of the patterns behind repeated multiplication.

Editorial math illustration for Negative Numbers and Parenthesis in Exponents
Lesson 60
Negative Numbers and Parenthesis in Exponents
Editorial math illustration for Understanding Negative Exponents
Lesson 61
Understanding Negative Exponents
Editorial math illustration for Fractions and Parenthesis with Negative Exponents
Lesson 62
Fractions and Parenthesis with Negative Exponents
Editorial math illustration for Negative Exponents - Real Life Application
Lesson 63
Negative Exponents - Real Life Application
Editorial math illustration for Product Rule of Exponents
Lesson 64
Product Rule of Exponents
Editorial math illustration for Quotient Rule of Exponents
Lesson 65
Quotient Rule of Exponents
Editorial math illustration for Zero Exponent Rule
Lesson 66
Zero Exponent Rule
Editorial math illustration for Negative Exponent Rule
Lesson 67
Negative Exponent Rule
Editorial math illustration for Power of a Power Rule of Exponents
Lesson 68
Power of a Power Rule of Exponents
Editorial math illustration for Power of a Product Rule of Exponents
Lesson 69
Power of a Product Rule of Exponents
Editorial math illustration for Power of a Quotient Rule of Exponents
Lesson 70
Power of a Quotient Rule of Exponents

Unit 9 - Introduction to Functions

This unit introduces you to the power and patterns of exponential and functional relationships in mathematics. You will explore exponents, negative powers, and real-life applications before progressing to writing, interpreting, and graphing functions — including exponential growth and decay models.

Editorial math illustration for What is a Function and Why Do We Use Them?
Lesson 71
What is a Function and Why Do We Use Them?
Editorial math illustration for Understanding and Using Function Notation
Lesson 72
Understanding and Using Function Notation
Editorial math illustration for Relations and Functions
Lesson 73
Relations and Functions
Editorial math illustration for Using the Vertical Line Test
Lesson 74
Using the Vertical Line Test
Editorial math illustration for What is an Exponential function? - Growth
Lesson 75
What is an Exponential function? - Growth
Editorial math illustration for Computational Practice - Exponential Functions - Growth
Lesson 76
Computational Practice - Exponential Functions - Growth
Editorial math illustration for Exponential Decay
Lesson 77
Exponential Decay
Editorial math illustration for Evaluating Exponential Functions
Lesson 78
Evaluating Exponential Functions
Editorial math illustration for Understanding Domain and Range in Exponential Functions
Lesson 79
Understanding Domain and Range in Exponential Functions

Unit 10 - Polynomial Operations

In this unit we learn how to work with polynomials by adding, subtracting, multiplying, and dividing them. We will also explore more advanced expressions with multiple variables and see how these skills help us solve and factor quadratic equations.

Editorial math illustration for Adding and Subtracting Polynomials
Lesson 80
Adding and Subtracting Polynomials
Editorial math illustration for Multiplying Polynomials
Lesson 81
Multiplying Polynomials
Editorial math illustration for Dividing Polynomials
Lesson 82
Dividing Polynomials
Editorial math illustration for Quadratic Equations
Lesson 83
Quadratic Equations
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