Unit 2 Review

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

What does it mean for two ratios to be in proportion?

Back

Two ratios are in proportion if they are equal to each other, meaning that the cross products are equal.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total amount by the number of units. For example, if you spend $40 on 5 pounds of concrete, the unit rate is $40 ÷ 5 = $8 per pound.

Front

If Alice earns $20.40 in 3 hours, how do you calculate her earnings in 8 hours?

Back

First, find the rate per hour: $20.40 ÷ 3 = $6.80 per hour. Then multiply by 8 hours: $6.80 × 8 = $54.40.

Front

What is the simplified ratio of 9 triangles to 6 circles?

Back

The simplified ratio is 3:2.

Front

How do you calculate the cost per slice of pizza?

Back

To find the cost per slice, divide the total cost by the number of slices. For example, $12 ÷ 8 slices = $1.50 per slice.

Front

What is a unit rate in the context of cost?

Back

A unit rate in cost refers to the price of one unit of a product, calculated by dividing the total cost by the number of units.

Front

What is the cross-multiplication method for checking proportions?

Back

To check if two ratios are in proportion, cross-multiply the terms: if a/b = c/d, then check if a*d = b*c.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD). For example, the ratio 8:12 simplifies to 2:3.

Front

What is the formula for finding the total earnings based on hourly wage?

Back

Total earnings = Hourly wage × Number of hours worked.