Lesson 41: Using Formulas, Distributive Property — Practice Questions

1. 1. The formula for the area of a rectangle is $A = lw$. What is the area in square feet of a rectangular rug that is 12 feet long ($l$) and 5 feet wide ($w$)? Area = ___ $ft^2$

2. 2. Using the formula for the area of a triangle, $A = \frac{1}{2}bh$, find the area of a triangle with a base ($b$) of 8 inches and a height ($h$) of 6 inches.

   • A. $48 \text{ in}^2$
   • B. $14 \text{ in}^2$
   • C. $24 \text{ in}^2$
   • D. $7 \text{ in}^2$

3. 3. The formula for the perimeter of a rectangle is $P = 2(l+w)$. If a picture frame has a length ($l$) of 15 inches and a width ($w$) of 7 inches, its perimeter is ___ inches.

4. 4. The volume of a box is found with $V = lwh$. What is the volume of a box with length $l=10$ cm, width $w=5$ cm, and height $h=6$ cm?

   • A. $21 \text{ cm}^3$
   • B. $300 \text{ cm}^3$
   • C. $150 \text{ cm}^3$
   • D. $60 \text{ cm}^3$

5. 5. When evaluating the expression $2(l+w)$ after substituting numbers for $l$ and $w$, what is the correct first step according to the order of operations?

   • A. Multiply $l$ by 2
   • B. Add $l$ and $w$
   • C. Multiply $l$ and $w$
   • D. Add 2 to $l$

6. 6. Use the distributive property to write an equivalent expression for $4(x + 7)$. The new expression is ___.

7. 7. Which expression is equivalent to $8(3y - 2)$?

   • A. 24y - 16
   • B. 24y - 2
   • C. 11y - 16
   • D. 3y - 16

8. 8. Apply the distributive property to simplify the expression $-3(k + 5)$. The simplified expression is ___.

9. 9. Which of the following expressions shows the correct use of the distributive property for $9(p - 4)$?

   • A. 9p - 36
   • B. 9p - 4
   • C. 9p + 36
   • D. p - 36

10. 10. Use the distributive property to write an equivalent expression for $6(2m - 5n)$. The result is ___.