Depth, Temperature, and Rate Problems

This video tutorial covers Math 7 Unit 5 Lesson 16, focusing on representing contexts with equations. It explores determining whether solutions are positive or negative, manipulating variables, and creating equations based on temperature and altitude changes. The lesson includes practice problems and homework assignments to reinforce learning.

When multiplying a negative number by a positive number, what is the sign of the result?

• Positive

• Zero

• Undefined

• Negative

If the temperature at 6 a.m. is represented by V and it rises by 12°F to reach 4°F, what equation represents this situation?

• V + 12 = 4

• V - 12 = 4

• V + 4 = 12

• V - 4 = 12

A penguin stands 3 feet above sea level and dives down 10 feet. What is its final depth?

• 13 feet below sea level

• 7 feet above sea level

• 7 feet below sea level

• 13 feet above sea level

If a candle burns at a rate of 3/4 inch per hour and starts at 7 1/4 inches, how long until it burns out?

• 9 2/3 hours

• 9 1/3 hours

• 10 hours

• 9 hours

If 1/nth of the students are absent and 4512 are present, what equation represents the total number of students?

• Total * 1/n = 4512

• Total + 1/n = 4512

• Total - 1/n = 4512

• Total / 1/n = 4512

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

• 6 minutes

• 24 seconds

• 12 seconds

• 6 seconds

A swimmer dives below the surface and reaches 12 meters below after 2 minutes. What is the rate of diving?

• 3 meters per minute

• 12 meters per minute

• 6 meters per minute

• 24 meters per minute

If the temperature was -12°C and rose to 2°C, what is the total change in temperature?

• 14°C

• 12°C

• 16°C

• 10°C

Kieran drinks 6.4 oz of milk each morning. How many days will it take to finish a 32 oz container?

• 5 days

• 4 days

• 7 days

• 6 days

If a trail mix recipe uses 3/4 cup of raisins, 1 cup of peanuts, and 1/2 cup of chocolate chips, how many cups of peanuts are needed for 10 cups of mix?

• 5.5 cups

• 5 cups

• 4.4 cups

• 4 cups