Proportions Review

Front

What is a proportion?

Back

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

Front

How do you solve for a variable in a proportion?

Back

To solve for a variable in a proportion, cross-multiply the ratios and then isolate the variable.

Front

If a pronghorn antelope can travel 105 miles in 3 hours, how do you find its speed?

Back

To find the speed, divide the distance by the time: Speed = Distance / Time = 105 miles / 3 hours = 35 miles per hour.

Front

What is the ratio of science books to math books if there are 36 science books and the ratio is 4:3?

Back

If the ratio of science books to math books is 4:3, and there are 36 science books, then there are 27 math books.

Front

How do you set up a proportion to solve for x in the equation 3/5 = x/15?

Back

Set up the proportion as 3/5 = x/15 and cross-multiply to get 3 * 15 = 5 * x, then solve for x.

Front

What is the total number of dogs if the ratio of large dogs to small dogs is 4:3 and there are 63 dogs?

Back

If the total number of dogs is 63 and the ratio is 4:3, then there are 27 small dogs and 36 large dogs.

Front

How do you calculate the time it takes to rake 12 bags of leaves if 3 bags take 16 minutes?

Back

To find the time for 12 bags, set up a proportion: 3 bags / 16 minutes = 12 bags / x minutes. Cross-multiply and solve for x.

Front

What is the formula for finding the equivalent ratio?

Back

To find an equivalent ratio, multiply or divide both terms of the ratio by the same non-zero number.

Front

How can you express a ratio as a fraction?

Back

A ratio can be expressed as a fraction by placing the first quantity over the second quantity.

Front

What does it mean if two ratios are equivalent?

Back

If two ratios are equivalent, it means they represent the same relationship between quantities.