Potion Mixer Worksheet
Apprentice:
Date:
Score:
Potion Mixer Ledger
The Distributive Property with Decimals & Fractions
Welcome, Apprentice Alchemist! To brew each magical potion correctly, distribute the external coefficient evenly to all elements within the cauldron, and write your final simplified expression in the answer box.
Potion 1 • Swiftness Draught
\( 0.5(8x - 12) \)
Answer
Potion 2 • Elixir of Clarity
\( \frac{1}{3}(6y - 15) \)
Answer
Potion 3 • Levitation Essence
\( 1.5(4a - 6b) \)
Answer
Potion 4 • Giant Strength Brew
\( \frac{2}{5}(10m + 25n - 15) \)
Answer
Potion 5 • Flame Shield Brew
\( 0.4(5p - 10q + 15) \)
Answer
Grand Archives of Algebra • Section IV
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Potion Mixer Answer Key
Teacher Answer Key
Apprentice:
Grand Alchemist
Date:
Perfect Score
Potion Mixer Ledger
The Distributive Property with Decimals & Fractions
Master's Ledger: Below are the perfectly balanced and distributed formulas required to synthesize each alchemical mixture.
Potion 1 • Swiftness Draught
\( 0.5(8x - 12) \)
Answer
0.5(8x) - 0.5(12) = 4x - 6
Potion 2 • Elixir of Clarity
\( \frac{1}{3}(6y - 15) \)
Answer
⅓(6y) - ⅓(15) = 2y - 5
Potion 3 • Levitation Essence
\( 1.5(4a - 6b) \)
Answer
1.5(4a) - 1.5(6b) = 6a - 9b
Potion 4 • Giant Strength Brew
\( \frac{2}{5}(10m + 25n - 15) \)
Answer
⅖(10m) + ⅖(25n) - ⅖(15) = 4m + 10n - 6
Potion 5 • Flame Shield Brew
\( 0.4(5p - 10q + 15) \)
Answer
0.4(5p) - 0.4(10q) + 0.4(15) = 2p - 4q + 6
Grand Archives of Algebra • Master Key
Grand Alchemist Master Ledger