Understanding Area, Elevation, and Proportionality

This video tutorial covers subtracting rational numbers, focusing on rewriting addition equations as subtraction equations. It explores expressions related to changes in elevation and the impact of order in subtraction operations. The tutorial concludes with a review of homework problems and solutions.

What is the first step in solving an equation like 247 + C = 458?

• Divide both sides by 247

• Multiply both sides by 247

• Subtract 247 from both sides

• Add 247 to both sides

If a mountaineer starts at 400 ft and ends at 900 ft, what is the change in elevation?

• 500 ft decrease

• 400 ft decrease

• 900 ft increase

• 500 ft increase

How do you calculate the difference between two elevations?

• Subtract the initial elevation from the final elevation

• Divide the final elevation by the initial elevation

• Multiply the initial and final elevations

• Add the initial and final elevations

What happens to the result when you change the order of numbers in subtraction?

• The result becomes zero

• The result doubles

• The result remains the same

• The result changes sign

What is the absolute value of the difference between two numbers called?

• Sum

• Product

• Distance

• Quotient

How much warmer is 82 degrees than -40 degrees?

• 40 degrees

• 82 degrees

• 122 degrees

• 42 degrees

What is the difference in height between 30 m up a cliff and 87 m up a cliff?

• 57 m

• -57 m

• 117 m

• -117 m

If a polygon's side length doubles, what happens to its area?

• It doubles

• It remains the same

• It quadruples

• It halves

What is the constant of proportionality if 31104 pixels correspond to 6 units of area?

• 518

• 6

• 31104

• 5184

Which of the following is a scaled copy of a polygon with side lengths 1, 2, and 3?

• 2, 3, 4

• 2, 4, 6

• 1, 3, 5

• 3, 6, 9