Ratios & Proportions Flashcard Review

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 simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Front

What is a proportion?

Back

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

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the unknown variable.

Front

What is the formula for finding the total number of rotations based on a given rate?

Back

Total Rotations = (Rotations per Time Period) * (Total Time Periods) / (Time Periods Given).

Front

If a planet rotates 220 times in 15 months, how do you find the number of rotations in 12 months?

Back

Use the ratio: (220 rotations / 15 months) = (x rotations / 12 months). Cross-multiply and solve for x.

Front

What does it mean if a ratio of made to missed shots is 3:2?

Back

It means for every 3 successful shots, there are 2 missed shots.

Front

How do you calculate earnings based on a rate over a different time period?

Back

Use the formula: Earnings = (Earnings per Time Period) * (Total Time Periods) / (Time Periods Given).

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

Front

How do you find the value of x in a simple equation?

Back

Isolate x on one side of the equation by performing inverse operations on both sides.