Question

name
7.rp.2 / 7.g.1 / 7.ns. 1 & 2 review
in the floor plan of a home the dining room is 16 mm longer than it is wide. if the floor plan was drawn to the scale 1 mm = 2 inches, what is the actual difference between the length and width of the dining room?
a. 8 inches
b. 17 inches
c. 18 inches
d. 32 inches
pat built two models of navy boats, one with a scale of 1 inch = 26 feet and the other with a scale of 1 inch = 20 feet.
if both finished models are 18 inches long, what is the difference between the actual sizes of the two boats?
a. 3 feet
b. 6 feet
c. 24 feet
d. 108 feet
a new sci - fi movie was filmed using a man in rubber monster suit at 7 feet 2 inches tall. the suit was constructed to the scale 1 inch = 5 feet.
how tall of a monster is the rubber suit designed to depict?
a. 430 feet
b. 360 feet
c. 35 feet 10 inches
d. 7 feet 10 inches
simplify.
$-\frac{3}{4}-\frac{3}{8}$
a. $-\frac{9}{8}$
b. $-\frac{6}{8}$
c. $-\frac{3}{8}$
d. $\frac{3}{8}$

Explanation:

Step1: Find length-width difference (1st Q)

Let floor plan width = $w$, length = $w+16$.
Difference on plan: $(w+16)-w=16$ mm.
Scale: $1$ mm = $2$ inches.
Actual difference: $16 \times 2 = 32$ inches.

Step2: Calculate boat actual lengths (2nd Q)

Boat 1 actual length: $18 \times 26 = 468$ feet.
Boat 2 actual length: $18 \times 20 = 360$ feet.
Difference: $468-360=108$ feet.

Step3: Convert suit height to inches (3rd Q)

7 feet 2 inches = $7\times12 + 2=86$ inches.
Scale: $1$ inch = $5$ feet.
Monster height: $86 \times 5=430$ feet.

Step4: Simplify fraction (4th Q)

Rewrite $\frac{3}{4}$ as $\frac{6}{8}$.
Expression: $-\frac{6}{8}-\frac{3}{8}=-\frac{6+3}{8}=-\frac{9}{8}$.

Answer:

1. D. 32 inches
2. D. 108 feet
3. A. 430 feet
4. A. $-\frac{9}{8}$