Homebound Instruction · Algebra I

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Before the first unit, two quick things: a plain-language map of what Algebra I actually is, and a short, no-grade check to see which foundations are already solid — so we spend our time where it counts.

Watch first · ~10 min

Understand Algebra I — the big picture

A plain-language tour of the same four ideas below — variables, expressions, graphing, and the rules — and how algebra grows straight out of the arithmetic you already know. Watch this before Unit 1.

▶ Watch the overview

What Algebra I is really about

Algebra isn't one giant thing — it's four ideas that lean on each other. You've already met most of them since grade school.

1

Variables

A letter that holds the spot for a number we don't know yet — a box waiting to be filled.

□ + 3 = 7 becomes x + 3 = 7

2

Expressions

Variables and numbers combined into a quantity — no equals sign, just something to build, simplify, or evaluate.

3x + 5

3

Graphing

The picture of the algebra. Draw an equation and the pattern shows up at a glance — a line, a curve.

y = 2x + 1 → a line

4

Rules

The moves that keep things true: order of operations, distributing, doing the same thing to both sides.

2(x + 3) = 2x + 6

How they connect: variables live inside expressions → expressions become equations you can graph → and the rules govern every step in between. The reassuring part: algebra isn't brand-new — it's the arithmetic you've done since elementary school, just using a letter when a number is unknown. You've been building toward it for years. So when it feels hard, it's usually an early piece (a rule, signed numbers, fractions) that needs shoring up — not "algebra" itself. That's all the check below is for: not a grade, just finding which piece to firm up first.

Find your starting line not a test

No grade. No time limit. Nothing to study for.

Answer what you can, skip what you don't know (guessing hides the gap). At the end you'll get a map: what's solid, and for anything shaky, a direct link to the lesson that fixes it.

0 of 12 answered

Solid on 0 of 10 foundations.

Shore up first

Already solid

Una versión en español está en camino.