Loading...

Lesson 44: Solving Proportions Using Cross Products and Slope of a Line — Practice Questions

  1. 1. A line passes through the points $(1, 4)$ and $(5, 16)$. What is the slope of the line? The slope is ___.

  2. 2. A ski lift descends 10 meters for every 5 meters it travels horizontally. What is the slope of the path of the ski lift?

    • A. -2
    • B. 2
    • C. $-\frac{1}{2}$
    • D. $\frac{1}{2}$
  3. 3. Calculate the slope of a line that passes through the points $(-2, 3)$ and $(4, 21)$. The slope is ___.

  4. 4. Which of the following best describes the slope of a line?

    • A. The length of the line segment
    • B. The measure of the line's steepness
    • C. The point where the line crosses the horizontal axis
    • D. The distance from the origin to the line
  5. 5. What is the slope of a line that passes through the points $(2, 7)$ and $(10, 11)$? Write your answer as a simplified fraction. The slope is ___.

  6. 6. A car travels 240 miles on 8 gallons of gasoline. What is the car's average fuel efficiency in miles per gallon? The answer is ___ miles per gallon.

  7. 7. A water tank's volume is measured at two different times. At 2 minutes, it holds 50 liters. At 7 minutes, it holds 80 liters. What is the average rate of change in liters per minute?

    • A. 6 liters/minute
    • B. 10 liters/minute
    • C. 130 liters/minute
    • D. 0.16 liters/minute
  8. 8. In a real-world context, the average rate of change between two points is simply another name for what mathematical concept?

    • A. The slope
    • B. The y-intercept
    • C. An exponent
    • D. A variable
  9. 9. In 2018, a town's population was 12,000. By 2023, the population had grown to 14,500. What was the average rate of change of the population in people per year? The answer is ___ people per year.

  10. 10. A subscription service's cost increased by 24 dollars over a period of 6 months. What was the average rate of change in cost per month?

    • A. 2 dollars/month
    • B. 4 dollars/month
    • C. 144 dollars/month
    • D. 0.25 dollars/month