Algebra
Algebra: 18 free interactive math resources. Solve equations and represent relationships with symbols and graphs.
Guide
About this topic
Algebra uses graphs and quantity models for equations and expressions, then the editor for clean write-ups.
What you learn
- Equations as graph intersections
- Equivalent transformations
- Points and lines on the plane
- Clean general-form write-ups
Subtopics
Key formulas
ax + b = 0y = kx + b
FAQ
Must I memorize first?
Prefer examples and graphs before general form.
Overlap with functions?
Yes — functions stress mapping; algebra stresses equations.
How do I practice notation?
After exploring, copy steps into the equation editor.
Resources in this topic
18 free interactive resources in 4 groups
Number line & absolute value
Equations & inequalities
- Activity
Properties of equality (balance)
A balance model for adding/subtracting/multiplying/dividing both sides to isolate x.
Open - Activity
Linear inequalities in one variable
Show solution sets of ax + b ? 0 on the number line.
Open - Activity
Systems of two linear equations
The intersection of two lines is the solution of the system.
Guide - Activity
Systems of linear inequalities
Intersection of two half-planes — the green region is the solution set.
Guide
Polynomials & factoring
Functions as algebra
- Activity
Linear function y = kx + b
Adjust k and b to see slope and vertical shift of the line.
Guide - Activity
Linear intercepts
Find axis intercepts and the triangle they form with the origin.
Open - Activity
Quadratic y = ax² + bx + c
Adjust a, b, c to see opening, axis of symmetry, and vertex.
Guide - Activity
Vertex form of a parabola
From y = a(x − h)² + k, see how translations move the parabola.
Guide - Activity
Inverse variation y = k/x
Vary k to see the hyperbola branches and asymptotes.
Guide - Activity
Maximum area under a parabola
P moves on a parabola; maximize area of △PAB (vertical height).
Open - Activity
Exam functions: hyperbola vs line
Compare k/x and a line through two points; read inequality solution sets.
Open - Activity
Coordinate plane intro
Quadrants, coordinates, and where a point sits.
Guide - Activity
Plane vector operations
Vector addition (parallelogram rule) and scalar multiplication.
Open