Operations ACT Prep

Front

What is the total cost of renting a car if there is a fixed charge and a variable charge based on mileage?

Back

Total cost = Fixed charge + (Variable charge per 100 miles * Total miles driven / 100). For example, if the fixed charge is $260 and the variable charge is $8 per 100 miles, and the total miles driven is 3,000, then: Total cost = 260 + (8 * 30) = $500.

Front

How do you round a number to the nearest hundred?

Back

To round to the nearest hundred, look at the tens digit. If it is 5 or more, round up. If it is 4 or less, round down. For example, 873 + 155 + 107 = 1,135, which rounds to 1,100.

Front

What is the reciprocal of a number?

Back

The reciprocal of a number is 1 divided by that number. For example, the reciprocal of 2 is 1/2.

Front

How do you calculate time taken to travel a distance at a constant speed?

Back

Time = Distance / Speed. For example, if riding a bike at a pace of 30 seconds per third mile, to find the time for 4 miles: 4 miles = 4 * 3 = 12 thirds of a mile. Time = 12 * 30 seconds = 360 seconds = 6 minutes.

Front

What is the rule for dividing fractions?

Back

Keep, change, flip: Keep the first fraction, change the division sign to multiplication, and flip the second fraction.

Front

What is a fixed charge in a rental agreement?

Back

A fixed charge is a set amount that does not change regardless of usage. For example, a $260 fixed charge to rent a car for a month.

Front

What is a variable charge in a rental agreement?

Back

A variable charge is an amount that changes based on usage. For example, $8 for every 100 miles driven in a rental car.

Front

How do you find the total cost when given a fixed and variable charge?

Back

Add the fixed charge to the total of the variable charges calculated based on usage.

Front

What does it mean to round a number?

Back

Rounding a number means adjusting it to a nearby value that is easier to work with, typically to a specified place value.

Front

What is the process of adding multiple numbers together?

Back

To add multiple numbers, sum them sequentially. For example, 873 + 155 + 107 = 1,135.