Quiz Answers with Explanations
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Quiz Answers with Explanations
📚 Part 1: Multiple Choice & Review
Answer: 3x + 12. Explanation: Use the distributive property: 3·x + 3·4 = 3x + 12.
Answer: -6x + 10. Explanation: Multiply each term by -2: -2·3x = -6x and -2·(-5) = +10.
Answer: x^2 + 4x - 12. Explanation: FOIL: x·x = x^2, x·(-2) = -2x, 6·x = 6x, 6·(-2) = -12. Combine -2x + 6x = 4x.
Answers: 2x + 6 and 2x + 3 + 3. Explanation: 2(x+3) = 2x + 6. The expression 2x + 3 + 3 simplifies to 2x + 6 as well. x + 6 and 4x + 6 are not equivalent.
✏️ Part 2: Short Answers
Answer: 10x + 15. Explanation: Distribute 5 to each term inside the parentheses.
Answer: 2x^2 + 7x - 4. Explanation: Multiply each pair of terms, then combine like terms (8x - x = 7x).
Answer: 4x^2 + 5x - 15. Explanation: Distribute each factor, then combine 8x and -3x.
Answer: (3/4)x + 1/2. Explanation: Divide each term by 4 to split the ribbon equally.
Create and expand a trinomial product, for example (x + 2)(x - 1)(x + 3). Try expanding two at a time, then multiply the result by the third factor.
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