Algebra
Algebra guides,
one line at a time.
Algebra goes wrong one line at a time: a sign flipped, a bracket not distributed, a solution that breaks the original equation. These guides write out every line so you can find yours.
Guides
How to Solve Equations With Variables on Both Sides
Gather the variables on one side, the constants on the other, divide, and check. Three worked examples including a negative answer, plus the mistakes that cost marks.
How to Factor Quadratic Equations
Factoring when a is 1, factoring when it is not, and the difference of squares. Three worked examples, the traps, and practice problems with answers.
The Quadratic Formula, Explained
The formula, what the discriminant tells you before you start, and three worked examples: two real roots, an irrational pair, and no real solutions.
What this covers
- Linear equations, including variables on both sides
- Factoring and the quadratic formula
- Checking a solution properly instead of hoping
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