6.05 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

How do you simplify a ratio?

Back

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

Front

What is the ratio of flutes to clarinets if there are 51 flutes and 39 clarinets?

Back

The ratio is 17:13.

Front

How do you find the total number of instruments in a music store with 40 trumpets, 39 clarinets, 24 violins, 51 flutes, and 16 trombones?

Back

Add all the instruments: 40 + 39 + 24 + 51 + 16 = 170.

Front

What is the ratio of violins to total instruments if there are 24 violins?

Back

The ratio is 12:85.

Front

What is the midpoint formula for two points (x1, y1) and (x2, y2)?

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2).

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope = (y2 - y1) / (x2 - x1).

Front

What is the slope if the change in y is -5 and the change in x is 3?

Back

The slope is -5/3.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they simplify to the same value.

Front

How can you express the ratio of two quantities as a fraction?

Back

A ratio a:b can be expressed as the fraction a/b.