Real-world examples of distributive property in 6th grade math

📚 Quick Study Guide

• ➕ The distributive property lets you multiply a sum by multiplying each addend separately and then adding the products.
• 🔢 The formula is: $a(b + c) = ab + ac$
• 💡 For example, $3(2 + 4) = (3 \times 2) + (3 \times 4) = 6 + 12 = 18$
• ➖ It also works with subtraction: $a(b - c) = ab - ac$
• 🏘️ Real-world examples include calculating the cost of multiple items or figuring out areas.

Practice Quiz

1. What is the total cost if you buy 5 notebooks that cost $2 each and 5 pens that cost $1 each, using the distributive property?
   1. $5(2 + 1)$
   2. $5 + 2 + 1$
   3. $5 \times 2 + 1$
   4. $2 + 1$
2. A rectangular garden is 8 feet wide. It will be expanded so that the length increases by 3 feet. If 'L' represents the original length, which expression represents the new area?
   1. $8L + 3$
   2. $8(L + 3)$
   3. $8 + L + 3$
   4. $8 \times 3 + L$
3. You and 3 friends each buy a movie ticket for $12 and popcorn for $6. Which expression represents the total cost using the distributive property?
   1. $3(12 + 6)$
   2. $4(12) + 6$
   3. $4(12 + 6)$
   4. $12 + 6$
4. Simplify the expression: $4(x + 5)$
   1. $4x + 5$
   2. $x + 20$
   3. $4x + 20$
   4. $9x$
5. What is $7(10 - 2)$ using the distributive property?
   1. $70 - 2$
   2. $70 - 14$
   3. $70 + 14$
   4. $63$
6. If you have 6 boxes, and each box contains 'y' crayons and 3 markers, which expression shows the total number of items?
   1. $6y + 3$
   2. $6(y + 3)$
   3. $y + 18$
   4. $6y + y + 3$
7. Solve: $9(a - 4)$
   1. $9a - 4$
   2. $9a - 36$
   3. $a - 36$
   4. $9a + 36$