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October · Week 1 · Day 4

One-Step Equations with Negatives

The minus sign is part of the number, not a decoration. Today you divide by a negative, keep every sign attached, and find out what a lone minus in front of a variable really means.

Algebra 1Grades 8–12Finn the Fox + Bandit BunMission included
Quick recap

Three things to lock in.

These are the ideas the Mission asks you to use.

Negative coefficientIn −3x the coefficient is −3, minus included. Divide by the whole thing.
Sign rulesNegative divided by negative is positive. Positive divided by negative is negative.
A lone minus−x means −1x. There is a 1 hiding in there.
? Today’s Try It

Solve −5k = 35.

Two answers went up on the board. Work it out before you pick one.

✗ A: k = 7
✓ B: k = −7
✓ CHECK: −5(−7) = 35

Divide both sides by the whole −5. Positive divided by negative is negative, and the check lands back on 35.