Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you determine if two ratios form a proportion?

Back

Two ratios form a proportion if their cross products are equal.

Front

What is the cross product of the ratios a/b and c/d?

Back

The cross product is ad and bc; if ad = bc, then a/b = c/d.

Front

What is the formula to find a missing value in a proportion?

Back

If a/b = c/d, then the missing value can be found using the formula: a * d = b * c.

Front

How can you express a percentage as a fraction?

Back

To express a percentage as a fraction, divide the percentage by 100.

Front

What is the ratio of losses to wins if a team has 7 wins and 3 losses?

Back

The ratio of losses to wins is 3:7.

Front

If a test is worth 12 points and a student wants to score 75%, how can this be expressed as a proportion?

Back

The proportion can be expressed as p/12 = 75/100.

Front

What is the first step in solving a proportion?

Back

The first step is to cross-multiply the two ratios.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship or value.

Front

How can you simplify the ratio 25/30?

Back

You can simplify 25/30 to 5/6 by dividing both the numerator and denominator by 5.