Setting Up Proportions

Front

What is a proportion?

Back

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

Front

How do you set up a proportion?

Back

To set up a proportion, you can use the formula a/b = c/d, where a and b are the first ratio, and c and d are the second ratio.

Front

If 14 sticks of pepperoni make 28 pizzas, how do you find the number of sticks needed for 36 pizzas?

Back

Set up the proportion: 14/28 = x/36, then solve for x.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity of one.

Front

How do you find the unit rate from a given ratio?

Back

Divide the first quantity by the second quantity to find the unit rate.

Front

If a car travels 420 miles in 8 hours, how do you find the distance traveled in 12 hours?

Back

Set up the proportion: 420/8 = x/12, then solve for x.

Front

What is the cross-multiplication method?

Back

Cross-multiplication is a method used to solve proportions by multiplying the numerator of one ratio by the denominator of the other ratio.

Front

How can you use proportions to solve real-world problems?

Back

Proportions can be used to find unknown values in situations involving ratios, such as scaling recipes or calculating distances.

Front

If Danielle used 8 centimeters of tape for 4 presents, how do you find how many presents she wrapped with 30 centimeters?

Back

Set up the proportion: 8/4 = 30/x, then solve for x.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another.