Ratios & Proportions Ch.4 Test Review

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a:b'.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if a store has 120 customers in 6 hours, the unit rate is 120 ÷ 6 = 20 customers per hour.

Front

What is the formula to find distance when speed and time are known?

Back

Distance = Speed × Time. For example, if Ernie travels at a constant speed and covers 195 miles in 3 hours, his speed is 195 ÷ 3 = 65 miles per hour.

Front

Convert 10 yards to feet.

Back

10 yards = 30 feet (since 1 yard = 3 feet).

Front

How many pints are in a gallon?

Back

There are 8 pints in a gallon.

Front

If a faucet drips 10 pints of water per minute, how many gallons does it drip in an hour?

Back

10 pints/min × 60 min = 600 pints in an hour. Since there are 8 pints in a gallon, 600 ÷ 8 = 75 gallons.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a:b = c:d, then a/b = c/d.

Front

Write the ratio of 5 apples to 10 apples.

Back

The ratio of 5 apples to 10 apples is 5:10, which can be simplified to 1:2.

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. For example, 1:2 is equivalent to 2:4.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF). For example, to simplify 8:12, divide both by 4 to get 2:3.