Question 1

A construction worker needs to move $120 ft^3$ of dirt by using a wheelbarrow. One wheelbarrow load holds $8 ft^3$ of dirt and each load takes him 10 minutes to complete. One correct way to figure out the number of hours he would need to complete this job is

Accepted Answer

$\frac{120 ft^3}{1} \bullet \frac{1load}{8ft^3} \bullet \frac{10min}{1load}  \bullet \frac{1hr}{60min}$

Answer

$\frac{120 ft^3}{1} \bullet \frac{10 min}{1 load} \bullet \frac{60 min}{1 hr}  \bullet \frac{1load}{8ft^3}$

Answer

$\frac{120 ft^3}{1} \bullet \frac{60 min}{1 hr} \bullet \frac{8ft^3}{10min}  \bullet \frac{1}{1load}$

Answer

$\frac{120 ft^3}{1} \bullet \frac{1load}{10min} \bullet \frac{8ft^3}{1load}  \bullet \frac{1hr}{60min}$

Question 2

The Utica Boilermaker is a 15-kilometer road race. Sara is signed up to run this race and has done the following training runs:
I. 10 miles
II. 44,880 feet
III. 15,560 yards
Which run(s) are at least 15 kilometers?

Accepted Answer

I, only

Answer

II, only

Answer

I and III

Answer

II and III

Question 3

Which expression results in a rational number?

Accepted Answer

$\sqrt36 \div\sqrt225$

Answer

$\sqrt25 \bullet\sqrt50$

Answer

$3\sqrt5  + 2\sqrt5$

Answer

$\sqrt121-\sqrt21$

Question 4

The following conversion was done correctly:

$\frac{3 miles}{1 hour} \bullet \frac{1 hour}{60 minutes} \bullet \frac{5280 feet}{1 mile} \bullet \frac{12 inches}{1 foot}$

What were the final units for this conversion?

Accepted Answer

inches per minute

Answer

minutes per inch

Answer

minutes per foot

Answer

feet per minute

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