Unit 3A Ratios and Proportions Test

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

How do you calculate the cost per item?

Back

To calculate the cost per item, divide the total cost by the number of items.

Front

What is the formula for finding the total number of items when given a ratio?

Back

If the ratio of two types of items is a:b and you know the total number of one type, you can find the total number of items using the formula: Total = (Total of one type) * (a + b) / a.

Front

How do you find the cost per pound of a combined weight?

Back

To find the cost per pound, divide the total cost by the total weight in pounds.

Front

What is the simplest form of a fraction?

Back

The simplest form of a fraction is when the numerator and denominator are reduced to their smallest possible values.

Front

How do you convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that over the original denominator.

Front

What is the relationship between miles driven and gallons of gas used?

Back

The relationship is expressed as fuel efficiency, which is calculated by dividing the miles driven by the gallons of gas used.

Front

How do you calculate the total cost of gas for a trip?

Back

To calculate the total cost of gas for a trip, first determine the total gallons needed, then multiply by the cost per gallon.

Front

What does it mean to simplify a ratio?

Back

Simplifying a ratio means reducing it to its smallest whole number form while maintaining the same relationship between the quantities.

Front

How do you find the total number of seats in a venue given a ratio of empty to full seats?

Back

If the ratio of empty seats to full seats is x:y and you know the number of full seats, the total number of seats can be found using the formula: Total = Full Seats * (x + y) / y.