Linear Functions and Rate of Change

What is the first step to solve this equation:

11 - 3x = 44

• Add 3 to both sides

• Subtract 11 from both sides

• Add 11 to both sides

• Divide 3 on both sides.

The table represents some points on the graph of a linear function. Which function represents this relationship?

• y = 2x + 7

• y = 1/2x + 7

• y = 3x - 2

• y = -2x - 2

The length of a certain ski lift cable is 1200 meters. The graph shows the distance traveled along the cable, y, as a function of x, the length of the ski lift ride in minutes. Find the domain of this situation.

• All Real Numbers

• [0, 1200]

• [0, 8]

• [0, 1, 2, 3, 4, 5, 6, 7, 8]

Which ordered pair is NOT in the solution set of ( y ≤ 3x + 5 )?

• (10, 0)

• (0, 5)

• (0, 10)

• (0, -10)

What is the slope of the equation 6x – 5y = 15?

• 6

• -6

• 6/5

• -6/5

The graph of a linear function, f, is shown. What is the zero of f?

• 2

• 4

• -2

• -4

A line contains the points (-2, 6) and (4, 10). What is the slope of the line?

• 2/3

• 3/2

• 8

• 3

Which graph represents the solution set of the linear inequality y > - 2x + 2?

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• 
• 
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What are the x-intercept and the y-intercept of the line y = 2x + 5?

• x-intercept: (5, 0)

  y-intercept: (0, −2.5)

• x-intercept: (−2.5, 0)

  y-intercept: (0, 5)

• x-intercept: (2.5, 0)

  y-intercept: (0, -5)

• x-intercept: (-5, 0)

  y-intercept: (0, 2.5)

A customer is ordering hats and T-shirts from an online store. Each hat costs $5, and each T-shirt costs $10. The customer receives free shipping if the amount of the order is over $150. Which inequality represents all possible combinations of hats, x, and T-shirts, y, in an order that qualifies for free shipping.

• 5x + 10y > 150

• 10x + 5y > 150

• 5x + 10y < 150

• 10x + 5y < 150