Unit 7.1 Assignment (Ratios and Proportions)

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as 'a:b' or 'a/b'.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal, expressed as 'a/b = c/d'.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply and then divide to find the unknown value.

Front

What is the simplest form of a ratio?

Back

The simplest form of a ratio is when the two quantities are expressed in their lowest terms.

Front

If the ratio of two angles in a triangle is 2:9, what is the total measure of the angles?

Back

The total measure of angles in a triangle is always 180 degrees.

Front

How do you find the measures of angles given a ratio?

Back

To find the measures of angles given a ratio, first add the parts of the ratio, then divide 180 by that sum and multiply by each part.

Front

What is the ratio of 180 red marbles to 145 blue marbles in simplest form?

Back

The simplest form is 36:29.

Front

If two ratios are equal, what can be said about their cross products?

Back

The cross products of equal ratios are equal, meaning a*d = b*c.

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 convert a ratio to a percentage?

Back

To convert a ratio to a percentage, divide the first quantity by the total of both quantities and multiply by 100.