Solve It with Algebra

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

Unit 1 - 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.

Picture of numbers on an blue background
Unit 1
Introduction to Exponents, Roots, and Logarithms
Topics Covered
1. Introduction to Exponents and Base Numbers
2. Understanding and Using Powers of 10
3. Evaluating Exponents Using a Scientific Calculator
4. Practice Problems - Understanding Square and Cube Numbers
5. Writing Numbers in Scientfic Notation
6. Scientific Notation - Negative Numbers
7. Review - Introduction to Scientific Notation
8. Square Numbers and Square Roots
9. Perfect Squares, Principal Squares, Rational vs. Irrational Numbers
10. Practice Problems - Square Roots
11. Understanding Cube Roots
12. Practice Problems - Using a Calculator for Square Roots
13. What Does Square Roots, Cube Roots, and Higher Roots Really Mean?
14. Understanding Roots Through Inverse Operations




Unit 2 - Algebra Basics

Unit 2 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.

Picture of the internet
Unit 2
Algebra Basics
Topics Covered
1. What is Algebra?
2. Constants and Variables
3. Substituting Numbers into Expressions
4. Writing and Evaluating Word Problems with Substitution
5. Expressions vs. Equations
6. Inverse Operations
7. Balancing Equations with Addition and Subtraction
8. Coefficients and Terms
9. Solving Subtraction Equations
10. Types of Numbers




Unit 3 - Properties of Algebra

Unit 3 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.

Picture of Farmland
Unit 3
Properties of Algebra
Topics Covered
1. What Are the Properties of Algebra?
2. The Associative Property: Grouping and Order
3. The Commutative Property of Algebra
4. The Transitive Property
5. The Distributive Property
6. 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.

Picture of Farmland
Unit 4
Ratios, Proportions and Percents
Topics Covered
1. Fractions and Ratios Warmup
2. Identifying and Writing Ratios
3. Equivalent Ratios
4. Applying Ratios
5. Ratios and Equivalent Ratios
6. Ratios and Proportional Relationships
7. Finding the Constant of Proportionality
8. Converting Fractions, Decimals, and Percents
9. Fractions, Decimals, and Proportional Relationships
10. Review: What are Constants and Variables?
11. Equations from Proportional Tables
12. Comparing Two Constants
13. Scaling and Real World Applications
14. Equations, Tables, and Solving for x or y
15. Is it Proportional?
16. From Tables to Graphs - Seeing Proportional Relationships
17. 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.

Picture of Farmland
Unit 5
Probability and Statistics
Topics Covered
1. Understanding Probability
2. Independent and Dependent Events
3. Mutually Exclusive and Mutually Inclusive Events
4. 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.

Picture of Farmland
Unit 6
Area and Perimeter
Topics Covered
1. Rectangles and Squares - Find the Perimeter
2. Rectangles and Squares - Find the Area
3. 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.

Picture of Farmland
Unit 7
Mastering Inequalities
Topics Covered
1. Reintroduction to Equations
2. Understanding Inequalities
3. Solving One-Variable Inequalities
4. Solving Two-Step Compound Inequalities
5. 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.

Picture of Farmland
Unit 8
Rules of Exponents
Topics Covered
1. Negative Numbers and Parenthesis in Exponents
2. Understanding Negative Exponents
3. Fractions and Parenthesis with Negative Exponents
4. Negative Exponents - Real Life Application
5. Product Rule of Exponents
6. Quotient Rule of Exponents
7. Zero Exponent Rule
8. Negative Exponent Rule
9. Power of a Power Rule of Exponents
10. Power of a Product Rule of Exponents
11. 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.

Picture of Farmland
Unit 9
Introduction to Functions
Topics Covered
1. What is a Function and Why Do We Use Them?
2. Understanding and Using Function Notation
3. Relations and Functions
4. Using the Vertical Line Test
5. What is an Exponential function? - Growth
6. Computational Practice - Exponential Functions - Growth
7. Exponential Decay
8. Evaluating Exponential Functions
9. Understanding Domain and Range in Exponential Functions




Thanks! Your subscription
has been successfully issued
Error occurred