Exploring Rates and Ratios in Math 7

This lesson covers rates and ratios, focusing on unit rates and their applications. It includes examples of calculating speed and simplifying ratios, as well as solving problems involving recipes and unit conversions. The lesson concludes with a homework assignment to reinforce the concepts discussed.

What is the first step when finding the product of two quantities in unit analysis?

• Cross-multiply the quantities

• Put the first quantity over one

• Add the quantities together

• Divide the quantities

In unit analysis, what should you do after cross-simplifying the numbers and labels?

• Multiply the denominators

• Add the denominators

• Multiply the numerators

• Divide the numerators

What is a unit rate?

• A rate where both numerator and denominator are one

• A rate where the numerator is zero

• A rate where the denominator is one

• A rate where the numerator is one

When calculating dollars per hour, where should the time element be placed?

• On the top

• On the bottom

• It doesn't matter

• In the middle

How do you find the speed of an object in miles per second?

• Divide miles by seconds

• Multiply miles by seconds

• Divide seconds by miles

• Multiply seconds by miles

What is the speed of a subway car that travels 2.5 miles in 5 minutes?

• 0.5 miles per minute

• 2 miles per minute

• 1 mile per minute

• 5 miles per minute

If a recipe calls for 1/2 cup of red paint and 1/4 cup of blue paint, how many cups of red paint are needed to make 12 cups of purple paint?

• 6 cups

• 8 cups

• 10 cups

• 12 cups

How many batches of the recipe are needed to make 12 cups of purple paint if one batch makes 3/4 cup?

• 12 batches

• 18 batches

• 15 batches

• 16 batches

What is the equivalent of 5 feet in inches?

• 60 inches

• 55 inches

• 50 inches

• 65 inches

How many cups are in 4 gallons if 1 gallon equals 16 cups?

• 64 cups

• 48 cups

• 80 cups

• 32 cups