Proportional Reasoning STAAR Review Practice

Front

What is proportional reasoning?

Back

Proportional reasoning is the ability to recognize and use the relationship between quantities that are in proportion, meaning they have a constant ratio.

Front

Define ratio.

Back

A ratio is a comparison of two quantities by division, often expressed as 'a to b' or a:b.

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, you can use cross-multiplication, where you multiply the means and the extremes.

Front

What is the cross-multiplication method?

Back

The cross-multiplication method involves multiplying the numerator of one ratio by the denominator of the other ratio and setting the products equal to each other.

Front

If 3/4 = x/20, what is x?

Back

x = 15, found by cross-multiplying: 3 * 20 = 4 * x.

Front

What is a unit rate?

Back

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

Front

How do you find a unit rate?

Back

To find a unit rate, divide the first quantity by the second quantity.

Front

If a car travels 300 miles in 5 hours, what is the unit rate of speed?

Back

The unit rate is 60 miles per hour, calculated by dividing 300 miles by 5 hours.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, a quantity. It is used in similar figures to determine the ratio of corresponding lengths.