Proportions (A)

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. It can be used to compare quantities.

Front

How do you set up a proportion?

Back

To set up a proportion, you write two ratios as fractions and set them equal to each other. For example, if a/b = c/d, then a, b, c, and d are the quantities being compared.

Front

If 14 gallons of gas allows a car to travel 196 miles, how do you find the distance for 4 gallons?

Back

Set up the proportion: 14 gallons/196 miles = 4 gallons/x miles. Cross-multiply and solve for x.

Front

What is cross-multiplication in proportions?

Back

Cross-multiplication is a method used to solve proportions by multiplying the numerator of one fraction by the denominator of the other fraction.

Front

What is the first step in solving a proportion?

Back

The first step is to set up the proportion correctly by identifying the two ratios that are being compared.

Front

If Karlos Badger can run 112 miles after 8 hours of sleep, how do you find the distance he can run after 10 hours?

Back

Set up the proportion: 8 hours/112 miles = 10 hours/x miles. Cross-multiply and solve for x.

Front

What does it mean if two ratios are equivalent?

Back

If two ratios are equivalent, it means they represent the same relationship between quantities.

Front

How can proportions be used in real-life situations?

Back

Proportions can be used to solve problems involving scaling, such as cooking recipes, travel distances, and financial calculations.

Front

What is the formula for finding a missing value in a proportion?

Back

If a/b = c/x, then x = (b * c) / a.

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.