Word Problems Involving Rates and Values

The video tutorial covers various mathematical problems for seventh-grade students, including matching situations to equations, solving temperature-related equations, calculating ingredient quantities for a trail mix recipe, evaluating mathematical expressions, labeling a number line, and determining the number of days to finish a milk container. Each problem is explained step-by-step, with a focus on understanding the underlying mathematical concepts.

A whale is diving at a rate of 2 meters per second. How long will it take to reach an elevation of -12 meters?

• 6 seconds

• 8 seconds

• 12 seconds

• 10 seconds

If a swimmer is 12 meters below the surface after 2 minutes, what is her diving rate?

• 4 meters per minute

• 5 meters per minute

• 6 meters per minute

• 8 meters per minute

How many hours does it take for the temperature to drop by 4.4 degrees Celsius at a rate of 0.8 degrees per hour?

• 5 hours

• 5.5 hours

• 4.5 hours

• 6 hours

What was the temperature at noon if it was -2.5 degrees Celsius after a 4.4 degree drop?

• 3 degrees Celsius

• 0 degrees Celsius

• 2.5 degrees Celsius

• 1.9 degrees Celsius

How much of each ingredient is needed to make 10 cups of trail mix if the original recipe makes 2.25 cups?

• Multiply by 4

• Multiply by 5

• Multiply by 4.4

• Multiply by 3.5

What is the result of 12 plus negative 10?

• 2

• 22

• -2

• 0

Calculate the result of negative 5 minus 6.

• -9

• -1

• -11

• -10

What is the value of 35 minus negative 8?

• 35

• 8

• 27

• 43

If each space on a number line is worth 15, what is the value two spaces to the left of zero?

• 15

• -15

• -30

• 0

How many days will it take Kieran to finish a 32-ounce container of milk if he drinks 6.4 ounces each morning?

• 6 days

• 4 days

• 5 days

• 7 days