Ratios and Proportions Pre-Algebra Ch. 6

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

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

To solve a proportion, cross-multiply the terms and then solve for the unknown variable.

Front

If 10/25 = a/5, what is the value of a?

Back

a = 2.

Front

How many hours do lions sleep in a day if they sleep 5 out of every 6 hours?

Back

Lions sleep 20 hours per day.

Front

What is the cost per ticket if the drama club pays $144.50 for 17 tickets?

Back

The cost per ticket is $8.50.

Front

If 2 buses carry 64 people, how many buses are needed for 150 people?

Back

5 buses are needed.

Front

What does it mean to cross-multiply in a proportion?

Back

Cross-multiplying means multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If z/6 = 35/42, what is the value of z?

Back

z = 5.

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 quantity is the denominator.