Adding and Subtracting Rational Expressions

What is a key characteristic of proportional relationships?

• They always decrease.

• They have a variable rate of change.

• They have a constant rate of change.

• They always increase.

Which of the following is NOT a proportional relationship?

• 8/2, 16/4, 24/6, 32/8

• 10/2, 20/4, 30/6, 40/8

• 5.95/4, 9.15/8, 12.35/12, 15.55/16

• 6/1, 12/2, 18/3, 24/4

What is another term for a proportional relationship?

• Exponential relationship

• Quadratic relationship

• Direct variation

• Inverse variation

In the equation y = kx, what does 'k' represent?

• The variable

• The y-intercept

• The slope

• The x-intercept

If a table of values shows y = 380x, what is the constant of variation?

• x

• 1

• 380

• 0

Which of the following tables represents a direct variation?

• 595/4, 915/8, 1235/12

• 1140/3, 2660/7, 3800/10

• 6/1, 12/2, 18/3

• 110/2, 214/4, 325/6

What is the y-intercept of a direct variation graph?

• It is always 0

• It is always 1

• It depends on the slope

• It varies

In the graph of y = 4x, what is the slope?

• 4

• x

• 0

• 1

Which equation does NOT represent a direct variation?

• y = -4/3x

• y = 3x + 1

• y = 2x

• y = 1/2x

If a graph starts at (0, 4), is it a direct variation?

• No, because it does not start at (0, 0)

• Yes, because it is linear

• No, because it has a positive slope

• Yes, because it has a constant slope