Ratios, Rates, and Proportions Test

Front

What is an aspect ratio?

Back

An aspect ratio is a proportional relationship between the width and height of an image or screen, expressed as two numbers separated by a colon (e.g., 16:9).

Front

How do you calculate the width of a TV given its height and aspect ratio?

Back

To find the width, use the formula: Width = (Height * Aspect Ratio Width) / Aspect Ratio Height. For a 16:9 aspect ratio and a height of 34.2 inches, Width = (34.2 * 16) / 9 = 60.8 inches.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing the relative size of one quantity to another, often expressed in simplest form.

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 50:35 simplifies to 10:7.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or cost per item.

Front

How do you find a unit rate?

Back

To find a unit rate, divide the numerator by the denominator to express the comparison as a quantity per one unit. For example, if a car travels 280 miles in 7 hours, the unit rate is 280 miles / 7 hours = 40 miles per hour.

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, and d are in proportion.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply and set the products equal to each other. For example, if a/b = c/d, then ad = bc.

Front

How do you calculate a percentage of a total?

Back

To calculate a percentage of a total, multiply the total by the percentage (as a decimal). For example, to find 65% of 520, calculate 520 * 0.65 = 338.

Front

What is the formula for finding distance traveled?

Back

The formula for distance traveled is Distance = Rate x Time. For example, if a car travels at 40 miles per hour for 12 hours, the distance is 40 x 12 = 480 miles.