Ratios/Unit Rates/Scale Factor/Proportions

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

Define unit rate.

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' (e.g., miles per hour).

Front

What is scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. It is used to enlarge or reduce similar figures.

Front

Explain proportions.

Back

Proportions are equations that state that two ratios are equal, often used to solve for unknown values.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

How do you find a missing side length in similar triangles?

Back

Use the property of proportions: set up a ratio of corresponding sides and solve for the missing length.

Front

What is the unit rate if a car travels 150 miles in 3 hours?

Back

The unit rate is 50 miles per hour.

Front

If 4 apples cost $2, what is the cost of 1 apple?

Back

The cost of 1 apple is $0.50.

Front

Solve the proportion: 3/4 = x/16. What is x?

Back

x = 12.

Front

If a map has a scale of 1 inch = 5 miles, how many miles does 3 inches represent?

Back

3 inches represent 15 miles.