Ratios and Rates Review!!!

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a single unit. It is calculated by dividing the first quantity by the second quantity.

Front

How do you find the unit price of an item?

Back

To find the unit price, divide the total cost of the item by the number of units (e.g., ounces, liters) it contains.

Front

What is the greatest common factor (GCF) and how is it used in simplifying ratios?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder. It is used to simplify ratios by dividing both terms of the ratio by the GCF.

Front

How do you simplify the ratio 56:64?

Back

Divide both numbers by their GCF, which is 8. The simplified ratio is 7:8.

Front

What is the formula to find the distance traveled given speed and time?

Back

Distance = Speed × Time.

Front

If an airplane travels 289 miles in 2 hours, how far will it travel in 5 hours?

Back

First, find the speed: 289 miles / 2 hours = 144.5 miles per hour. Then, multiply by 5 hours: 144.5 miles/hour × 5 hours = 722.5 miles.

Front

What is the relationship between part, whole, and percentage?

Back

The relationship is expressed as part/whole = %/100. This formula can be used to find the part or whole when given the other two.

Front

If there are 50 members at a camp and 20% are absent, how many members are absent?

Back

To find the number absent, calculate 20% of 50: (20/100) × 50 = 10 members absent.

Front

What does a ratio of 6:1 indicate about the relationship between two quantities?

Back

A ratio of 6:1 indicates that for every 1 unit of the second quantity, there are 6 units of the first quantity.

Front

How can you express a ratio in different forms?

Back

Ratios can be expressed as fractions, decimals, or with a colon (e.g., 6:1, 6/1, or 6.0).