Math 7A Flashcard

Front

What is a proportional relationship?

Back

A proportional relationship is one in which two quantities maintain a constant ratio or rate. For example, if y is proportional to x, then y = kx for some constant k.

Front

How do you convert miles per hour to feet per minute?

Back

To convert miles per hour to feet per minute, multiply the speed in miles per hour by 88 (since 1 mile = 5280 feet and 1 hour = 60 minutes).

Front

If the ratio of pigment to hardener is 2:1, how much pigment is needed for 5 pints of hardener?

Back

10 pints of pigment are needed, as the ratio indicates that for every 1 part of hardener, there are 2 parts of pigment.

Front

What is a complex fraction?

Back

A complex fraction is a fraction where the numerator, the denominator, or both contain fractions. For example, (1/2)/(3/4) is a complex fraction.

Front

How do you round a number to the nearest tenth?

Back

To round a number to the nearest tenth, look at the hundredths place. If it is 5 or greater, round up the tenths place by one. If it is less than 5, keep the tenths place the same.

Front

What is the formula for converting feet per minute to feet per second?

Back

To convert feet per minute to feet per second, divide the speed in feet per minute by 60.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it passes through the origin (0,0) and has a constant slope, indicating a constant ratio between the two variables.

Front

What is the value of 8 mi/h in feet per minute?

Back

8 mi/h is equal to 704 feet per minute.

Front

If a recipe calls for a 2:1 ratio of ingredients, how would you calculate the amount needed if you have a specific amount of one ingredient?

Back

To calculate the amount needed, use the ratio to set up a proportion. For example, if you have 5 pints of one ingredient, multiply by the ratio to find the amount of the other ingredient.

Front

What is the simplified form of the complex fraction 10/36?

Back

The simplified form of 10/36 is 5/18.