Exam 1: Basic Concepts

A Piper Warrior holds 50 gal of 100LL aviation fuel. A pilot takes off and lands at another airport and fills up the tank, which takes $15$ gal. The pilot then flies to a second airport, which requires $21 \frac { 3 } { 8 }$ gal. Had the pilot made the trip to the two airports without refueling each time, how much fuel would have been left in the tank?

Multiply. $71,813 \times 275$

Perform the indicated operation and simplify. $\frac { 9 } { 10 } \times \frac { 9 } { 10 } \times \frac { 72 } { 8 } \div 81$

Write the decimal in words. 2.096

Change the decimal to a percent. 0.09

Round the number to the nearest ten. 29.11

Change the decimal to a percent. 0.918 __________ %

Round the following number to the nearest tenth and the nearest thousandth. 0.727272 to the nearest tenth: __________ to the nearest thousandth: __________

Change the fraction to a mixed number in simplest form. $\frac { 42 } { 36 }$

Tell whether the number below is prime. $121$

Use the formula W = fd, where f represents a force, and d represents the distance that the force is applied. Find the work done, W, where f = $35$ and d = $10$ .

A small Cessna aircraft has enough fuel to fly for $8$ h. If the aircraft cruises at a ground speed of $120$ miles per hour (mi/h or mph), how many miles can the aircraft fly in the $8$ h?

Perform the indicated operation and simplify. $\frac { 1 } { 8 } \times \frac { 8 } { 17 }$

Find the prime factorization of the number below (use the divisibility tests where helpful). $117$

Find the wall thickness of the pipe in the illustration.

A mechanic spent $\frac { 1 } { 3 }$ h changing spark plugs, $\frac { 1 } { 7 }$ h changing an air filter and $\frac { 6 } { 7 }$ h changing the oil and oil filter. How much total time was spent servicing the car?

Change the decimal to a percent. 0.00016

Perform the indicated operation and simplify. $\frac { 2 } { 9 } \times 27$

Subtract. $64.497 - 49.59$

Find the power rounded to three significant digits. $7.75 ^ { 3 }$