Pre-Algebra · Self-Study Edition

Integers, Rationals &
Algebraic Thinking

Master the operations that trip everyone up — from signed numbers to factoring — with instant feedback and clear explanations.

Pick an answer. Get instant feedback. Learn from every mistake.

⚡ Quick Memory Keys

Sign Rules · Multiply / Divide

SAME → Positive · DIFF → Negative

Same signs give +, different signs give −. Works for both × and ÷.

Adding Negatives

ADD = keep sign, SUBTRACT = take bigger's sign

Same signs: add & keep. Different signs: subtract & take the sign of the larger absolute value.

Distributive Property

a(b + c) = ab + ac · "FOIL for one term"

Multiply the outside term by every term inside. Don't skip the second term!

Factoring (Reverse Distribute)

Find GCF → Pull it out front

Look for the Greatest Common Factor first. What divides every term? That's your factor.

Subtracting Integers

KCC · Keep · Change · Change

Keep the first number, Change the minus to plus, Change the sign of the second number.

Rational ÷ Rational

Keep · Flip · Multiply

Keep the first fraction, Flip the second (reciprocal), then Multiply straight across.

Click an answer — explanation appears if wrong

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