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 for x in a proportion?

Back

Cross-multiply the terms: if a/b = c/d, then ad = bc, and solve for x.

Front

What is the extended ratio?

Back

An extended ratio compares three or more quantities, expressed as 'a:b:c'.

Front

If the ratio of two numbers is 3:4 and their sum is 70, what are the numbers?

Back

The numbers are 30 and 40.

Front

How do you find the missing term in a proportion?

Back

Set up the proportion and cross-multiply to find the missing term.

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

If a triangle's angles are in the ratio 2:3:4, what are the measures of the angles?

Back

The angles are 40°, 60°, and 80°.

Front

What is the formula for finding the scale factor in similar figures?

Back

Scale factor = length of corresponding side in the image / length of corresponding side in the original.

Front

How do you convert a ratio to a percentage?

Back

Divide the first quantity by the total of both quantities and multiply by 100.