*FLASHCARD* Ratios and Proportions and Rates

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 for a variable in a proportion?

Back

Cross-multiply the ratios and then solve for the variable.

Front

What is the formula for finding a rate?

Back

Rate = Quantity / Time.

Front

If 12 pencils are in a pack, how many packs are needed for 108 pencils?

Back

9 packs.

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 is the denominator.

Front

How do you determine if two ratios are proportional?

Back

Two ratios are proportional if their cross products are equal.

Front

Back

x = 14.

Front

What is the ratio of shaded squares to not shaded squares if there are 10 shaded and 6 not shaded?

Back

10:6.