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Distributive Property Quiz

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Distributive Property Quiz

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📚 Part 1: Multiple Choice

1. Solve: 3(x + 4) = 27

x = 3

x = 5

x = 7

x = 9

2. Solve: -2(3x - 5) = 14

x = -2/3

x = 2/3

x = -3

x = 3

3. Which equation most directly requires using the distributive property to begin solving?

4(x + 2) = 16

7x + 3 = 24

x/3 + 5 = 9

(x + 1)^2 = 25

4. Check all that apply: Which are correct applications of the distributive property?

2(x + 3) = 2x + 6

-3(x - 2) = -3x - 6

5(x + 0) = 5x + 0

(x + 2) + 3x = 4x + 2

✏️ Part 2: Short Answers (Show your steps)

5. Solve and show steps: 5(x - 2) + 4 = 29
6. Solve and show steps: 2(3x + 1) = 4x + 10
7. Word problem: Jamie packs 3 boxes with (x + 2) toys each and gives away 5 toys. If 22 toys remain, find x.
8. Explain in one or two sentences: Why is the distributive property useful when solving equations?

📝 Teacher Notes & Success Criteria

I can... solve one-step and two-step equations that require the distributive property, including negatives and simple word problems.

Success criteria: Use the distributive property to remove parentheses, combine like terms, isolate the variable, and check the solution by substituting back into the original equation.

Differentiation strategies: Offer step-by-step templates for students who need support; provide worked examples with gaps to complete; allow calculators for arithmetic if needed.

Extension: Challenge advanced learners with equations that require distributing into expressions with fractions (e.g., (1/2)(4x + 6) = 10) or with variables on both sides before and after distribution.

Dyslexia-friendly reading options: Provide a printed version with larger, sans-serif font, extra spacing between lines, and colored overlays for students who request them; read problems aloud and allow oral explanations for answers.

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