michael425
michael425 Jan 31, 2026 โ€ข 0 views

Real-World Examples of the Distributive Property for Middle School

Hey everyone! ๐Ÿ‘‹ Ever wondered how to make math easier? Let's explore the distributive property with some real-world examples to help you understand it better! โž•
๐Ÿงฎ Mathematics

1 Answers

โœ… Best Answer

๐Ÿ“š Quick Study Guide

  • ๐Ÿ”ข The distributive property lets you multiply a single term by two or more terms inside a set of parentheses.
  • ๐Ÿ“ The formula is: $a(b + c) = ab + ac$
  • ๐Ÿ’ก Example: $2(x + 3) = 2x + 6$
  • โž• It works for subtraction too: $a(b - c) = ab - ac$
  • ๐Ÿ• Think of sharing pizza! If 3 friends want 2 slices each, you can calculate $3(2)$ or $3 \times 2 = 6$ slices.

โœ๏ธ Practice Quiz

  1. What is the result of applying the distributive property to $4(x + 2)$?
    1. $4x + 2$
    2. $4x + 8$
    3. $x + 8$
    4. $8x$
  2. Using the distributive property, simplify $3(2y - 1)$.
    1. $6y - 1$
    2. $6y - 3$
    3. $5y - 3$
    4. $5y - 1$
  3. A store is offering a 20% discount on all items. If an item costs $x$ dollars, and there's a $2 handling fee, which expression represents the final cost after the discount using the distributive property?
    1. $0.80(x + 2)$
    2. $0.20(x + 2)$
    3. $0.80x + 2$
    4. $0.20x + 2$
  4. What is the simplified form of $-2(a - 3)$ using the distributive property?
    1. $-2a - 6$
    2. $-2a + 6$
    3. $2a - 6$
    4. $2a + 6$
  5. If you buy 5 notebooks and each notebook costs $(x + 1)$ dollars, what is the total cost?
    1. $5x + 1$
    2. $5x + 5$
    3. $x + 5$
    4. $6x$
  6. Simplify the expression: $7(z + 4)$
    1. $7z + 4$
    2. $7z + 28$
    3. $z + 28$
    4. $11z$
  7. What is the result of applying the distributive property to $-1(5 - b)$?
    1. $-5 - b$
    2. $-5 + b$
    3. $5 - b$
    4. $5 + b$
Click to see Answers
  1. B
  2. B
  3. C
  4. B
  5. B
  6. B
  7. B

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