Solving Equations
Start your algebra journey here with an introduction to variables and equations.
Finding Unknowns
Equations with Unknowns
Building Expressions
Working with Unknowns
Finding Solutions
Solving Multiple Equations
Rewriting Equations
Isolating Unknowns
Solving an Equation
Substitution
Groups in Equations
Working with Groups
Solving with Groups
Unpacking Boxes
Distributing
Packing Boxes
Factoring
Strategic Moves
Combining Like Terms
Combining in Equations
Rearranging Terms
Rearranging Terms in Equations
Combining and Solving
Grouping to Solve
Unbalanced Scales
Inequalities Both Ways
Balancing Scales
Solutions to Inequalities
Graphing Inequalities
Graphing Solutions
Finding the Boundary
Solving Inequalities
Including the Boundary
Writing Inequalities
Negations
Putting It All Together
Systems with Scales
Balancing with Substitution
Writing Systems of Equations
Substituting Groups
Isolating and Substituting
Substitution Strategy
Subtracting Scales
Elimination
Multiplying to Eliminate
Balancing with Variables
Balancing with Constants
Balancing with Two Variables
Balancing with Equations
Balancing with Unknown Weights
Building Tilted Scales
Reasoning about Weights
More Reasoning about Weights
Strategic Comparisons
Reasoning about Two Scales
Reasoning with Equations
Unpacking Boxes
Packing Boxes
Reasoning about Unpacking
Reasoning about Packing Boxes
Reasoning about Multiples
Constraints
More Constraints
Reasoning with Balanced Scales
Reasoning with Weighted Scales
Reasoning with Scale Systems
Constraints in Scale Systems
Reasoning with an Inequality
Up next
Visual Algebra
Build patterns and sequences to start seeing algebra in a new light.
Course description
Use diagrams and words to explore the very start of algebra, with puzzles and intuition guiding the way. By the end of the course, you'll be able to simplify expressions and solve equations using methods that impart deep understanding rather than just procedures. You'll sharpen your problem solving strategies and explore what's really useful about algebra in the first place.
Topics covered
- Bar Models
- Distributive Property
- Evaluating Expressions
- Factoring
- Factors
- Inverses
- Order of Operations
- Simplifying Expressions
- Solving Equations
- Variables
Prerequisites and next steps
This is a great course to use for starting or re-starting your study of math. Before you get started, you should be comfortable doing numerical arithmetic (addition, subtraction, multiplication, and division with positive and negative numbers), but you don't need to have any prior experience with algebra or variables to begin this course.