EQUIVALENT RATIOS AND RATES - Advanced Math 7

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, 1:2 and 2:4 are equivalent ratios.

Front

How do you determine if two ratios are equivalent?

Back

To determine if two ratios are equivalent, you can cross-multiply and see if the products are equal. If a/b = c/d, then a*d = b*c.

Front

If 4 bars of soap cost $5, how much do 8 bars cost?

Back

$10

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together. It is often expressed as a quantity per 1 unit, such as miles per hour or cost per item.

Front

If 3 tickets cost $75, how much do 5 tickets cost?

Back

$125

Front

What is the ratio of 18 vocabulary words learned in 2 hours to 27 vocabulary words learned in 3 hours?

Back

Yes, the ratios are equivalent.

Front

How do you find the cost of multiple items if you know the cost of a smaller quantity?

Back

You can set up a proportion based on the known cost and the quantity, then solve for the unknown cost.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two quantities with different units, such as speed (miles per hour) or price (dollars per item).

Front

If 10 apples cost $20, what is the cost of 5 apples?

Back

$10

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, and equivalent ratios can be simplified just like fractions.