Rates, Ratios & Proportions

Front

What is a ratio?

Back

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

Front

How do you convert gallons to cups?

Back

To convert gallons to cups, multiply the number of gallons by 16, since 1 gallon equals 16 cups.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you determine if two ratios are proportional?

Back

Two ratios are proportional if their cross products are equal.

Front

What is the cost per unit?

Back

The cost per unit is the total cost divided by the number of units, giving the price for one unit.

Front

If 4 pounds of bananas cost $6, what is the cost per pound?

Back

The cost per pound is $1.50, calculated by dividing $6 by 4.

Front

What is the formula to find the total earnings based on a rate?

Back

Total earnings = (Earnings per time period) x (Number of time periods).

Front

How do you solve for x in an equation?

Back

To solve for x, isolate x on one side of the equation using inverse operations.

Front

What does it mean for ratios to be equivalent?

Back

Equivalent ratios are ratios that express the same relationship between numbers, even if the numbers themselves are different.

Front

How can you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms of the ratio by their greatest common divisor.