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Lesson 2: Solving Problems on the Coordinate Plane — Practice Questions

  1. 1. On a city map, the fire station is at $(3, 2)$ and the police station is at $(3, 9)$. What is the distance in blocks between the two stations? The distance is ___ blocks.

  2. 2. A boat is located at $(2, 6)$ on a grid. A lighthouse is located at $(8, 6)$. What is the distance between the boat and the lighthouse? The distance is ___ units.

  3. 3. A squirrel starts at $(5, 5)$ on a neighborhood map. It runs 4 units to the right and 3 units up to a bird feeder. What is the new $y$-coordinate of the squirrel? ___

  4. 4. A robot is at position $(9, 8)$. It moves 6 units left and 5 units down. What is the new $x$-coordinate of the robot? ___

  5. 5. A start point is at $(3, 1)$. A player moves 4 units up. What are the coordinates of the new location?

    • A. $(7, 1)$
    • B. $(3, 5)$
    • C. $(3, -3)$
    • D. $(-1, 1)$
  6. 6. The distance from the point $(8, 11)$ to the x-axis is ___.

  7. 7. What is the distance from the point $(15, 4)$ to the y-axis? The distance is ___.

  8. 8. Consider the points $J(3, 12)$ and $K(9, 7)$. Which statement is true?

    • A. Point J is farther from the x-axis.
    • B. Point K is farther from the x-axis.
    • C. Both points are the same distance from the x-axis.
    • D. It is impossible to determine.
  9. 9. Given points $R(14, 5)$ and $S(8, 10)$, which point is farther from the y-axis?

    • A. Point R
    • B. Point S
    • C. They are equally far from the y-axis.
    • D. This cannot be determined.
  10. 10. Points $M(1, 10)$ and $N(7, 10)$ lie on the same horizontal line. The equation of this line is $y = \_\_\_$.