Read · Isolate · Solve · Rewrite · Locate

Algebra Fundamentals

A five-lesson unit on the grammar beneath algebra: how expressions are built, how equations are solved one layer at a time, which rewrites are legal, and which real numbers are available.

Unit throughline

Algebra changes form without losing meaning.

First read the structure. Then isolate a variable in one move, build up to two moves, justify the transformations you use, and keep track of which numbers are allowed. These five lessons build that grammar in order.

3x + 5→x + 6 = 14→2x + 6 = 14→legal rewrites→x ∈ ℝ

Structure → one-step solve → two-step solve → rewrite rules → number systems.

01
Expressions & Variables
3x² − 2x + 5
02
Solving One-Step Equations
x + 6 = 14
03
Solving Two-Step Equations
2x + 6 = 14
04
Algebraic Properties
a(b + c) = ab + ac
05
Number Systems
ℕ ⊂ ℤ ⊂ ℚ ⊂ ℝ
Lessons

Take them in order the first time; return directly to any lesson when reviewing.

Unit checkpoint

A short check spanning variables, equation solving, and real-number systems.

Open check
Algebra Fundamentals Unit Check1 / 3

Match the Real Number category to its correct example.

1. Select Term
2. Assign Match