Interpreting Equations and Variables

The video tutorial covers CSD Mass 7 Lesson 16, focusing on representing contexts with equations. It includes five problems: a balloon and canoe scenario, a falcon and fish distance problem, a temperature drop in Nome, Alaska, a population increase, and a baseball bat discount. Each problem is explained with equations, emphasizing understanding variables and solving for unknowns. The tutorial highlights the importance of visual aids and the concept of magnitude, ensuring students grasp the mathematical principles involved.

In the balloon and canoe problem, what does the variable 'd' represent in the equation 12 + d = 4.8?

• The distance between the balloon and the canoe

• The depth of the canoe below the lake

• The total height of the lake

• The height of the balloon above the lake

What is the correct value of 'd' that makes the equation 12 + d = 4.8 true?

• 16.8

• -7.2

• 7.2

• -16.8

In the falcon and fish problem, what does the variable 'D' represent in the equation 67 + D = -3?

• The distance between the falcon and the fish

• The depth of the fish below the lake

• The height of the falcon above the lake

• The total depth of the lake

What is the correct interpretation of the negative sign in the distance between the falcon and the fish?

• It indicates the fish is above the falcon

• It shows the falcon is descending

• It represents a negative distance

• It means the fish is moving upwards

In the temperature change problem, what does the variable 'T' represent in the equation 7 + T = -15?

• The initial temperature

• The final temperature

• The average temperature

• The temperature drop

What is the value of 'T' that makes the equation 7 + T = -15 true?

• -22

• 22

• 8

• -8

In the population increase problem, what does the variable 'X' represent in the corrected equation 1.08X = 1535?

• The increased population

• The initial population

• The final population

• The percentage increase

What is the correct interpretation of the equation 1.08X = 1535?

• The population doubled

• The population decreased by 8%

• The population increased by 8%

• The population remained the same

In the baseball bat discount problem, what does the variable 'B' represent in the equation 6B = 66?

• The percentage discount

• The discounted price of the bat

• The sales tax on the bat

• The original price of the bat

What is the original price of the baseball bat if it was bought at 40% off for $66?

• $100

• $110

• $120

• $90