Chapter 6.1 Ratios and Proportions 2024

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 does the ratio 5:15 simplify to?

Back

1:3

Front

What is the simplified form of the ratio 35:14?

Back

5:2

Front

If AB:BC is 2:7 and AC = 36, what are the lengths of AB and BC?

Back

AB = 8 and BC = 28

Front

How do you find the perimeter of a rectangle?

Back

The perimeter of a rectangle is calculated as P = 2(length + width).

Front

If the perimeter of a rectangle is 154 feet and the ratio of length to width is 10:1, what are the dimensions?

Back

Length = 70 ft, Width = 7 ft.

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

Cross-multiply the terms and solve for the unknown.

Front

What is the solution to the proportion if the options are 17.5, 15, 8, 14?

Back

15