Loading...

Lesson 15: Using the Distributive Property to Simplify Expressions — Practice Questions

  1. 1. Which expression is equivalent to $9(5 + 3)$ after applying the distributive property?

    • A. $9(5) + 9(3)$
    • B. $9(5) + 3$
    • C. $9 + 5 + 3$
    • D. $9(5)(3)$
  2. 2. Use the distributive property to simplify the expression $6(x - 3)$. The simplified expression is ___.

  3. 3. Apply the distributive property to simplify the expression $4(2y + 5)$. The result is ___.

  4. 4. A common mistake when simplifying $5(y + 4)$ is to write $5y + 4$. What is the correct simplified expression?

    • A. $5y + 20$
    • B. $5y + 4$
    • C. $y + 20$
    • D. $20y$
  5. 5. Use the distributive property to simplify the expression $(10 - m)3$. The result is ___.

  6. 6. A teacher buys workbooks for her class of 12 boys and 15 girls. If each workbook costs 3 dollars, what is the total cost in dollars? ___

  7. 7. A rectangular garden has a width of 7 feet. It is split into a 10-foot long vegetable patch and a 4-foot long flower bed. Which expression represents the total area of the garden?

    • A. 7(10) + 4
    • B. 7(10) + 7(4)
    • C. 7 + 10 + 4
    • D. 14(10 + 4)
  8. 8. A large rectangular banner is 5 feet wide. It has a blue section that is 8 feet long and a white section that is 12 feet long. What is the total area of the banner in square feet? ___

  9. 9. A school buys 9 boxes of pencils and 5 boxes of pens. Each box costs `$c` dollars. Which expression represents the total cost?

    • A. 9c + 5
    • B. c + 9 + 5
    • C. 14 + c
    • D. 9c + 5c
  10. 10. The cost for a scout troop to go to a museum is calculated as $8(6) + 8(10)$, where 8 dollars is the ticket price. What is the total cost in dollars for the troop? ___