7th Grade Unit 4 1.0

Front

What is the rate of work?

Back

The rate of work is the amount of work done per unit of time. It can be calculated by dividing the total work by the time taken to complete it.

Front

If Austin mowed 7 lawns in 4 hours, how do you find the time to mow 21 lawns?

Back

To find the time to mow 21 lawns, first find the rate: 7 lawns/4 hours = 1.75 lawns/hour. Then, divide 21 lawns by the rate: 21 / 1.75 = 12 hours.

Front

How do you calculate the time taken to walk one mile if a turtle takes 3 ¼ hours to walk 1 ½ miles?

Back

Convert 3 ¼ hours to an improper fraction: 13/4 hours. Then, divide by 1.5 (or 3/2): (13/4) / (3/2) = (13/4) * (2/3) = 13/6 hours.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is often expressed as a quantity per one unit of another quantity.

Front

If a dog eats 1/3 of a bag of food in 1/2 week, how do you find how much it eats in one week?

Back

To find how much the dog eats in one week, multiply the amount eaten in half a week by 2: (1/3) * 2 = 2/3 of a bag.

Front

What is the formula to find the total amount of paint needed if you know the amount used for a fraction of a room?

Back

If 'x' gallons are used for 'y' of the room, the total gallons needed is: Total = (x / y) * 1.

Front

How do you find the time to fill a bucket if it fills at a constant rate?

Back

To find the time to fill the bucket, divide the height of the bucket by the rate of filling. For example, if the bucket is 12 inches tall and fills at 1/2 inch every 1/6 hour, calculate: 12 / (1/2 * 6) = 4 hours.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. It can be used to solve for unknown values in problems involving rates.

Front

How do you convert mixed numbers to improper fractions?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that result over the original denominator.

Front

What is the relationship between distance, rate, and time?

Back

The relationship is expressed by the formula: Distance = Rate × Time. This means that distance traveled is equal to the speed (rate) multiplied by the time spent traveling.