L28 · Problems in the coordinate plane

1. 1.

   Point A is (-4, -4) and point B is (-2, -4). What is the distance AB?

   Answer. 2

   Same y-coordinate, so distance = |-2 − -4| = 2.

2. 2.

   Point A is (-5, 2) and point B is (-3, 2). What is the distance AB?

   Answer. 2

   Same y-coordinate, so distance = |-3 − -5| = 2.

3. 3.

   Point A is (0, 0) and point B is (6, 0). What is the distance AB?

   Answer. 6

   Same y-coordinate, so distance = |6 − 0| = 6.

4. 4.

   Point A is (-2, -3) and point B is (3, -3). What is the distance AB?

   Answer. 5

   Same y-coordinate, so distance = |3 − -2| = 5.

5. 5.

   Point A is (-2, 3) and point B is (0, 3). What is the distance AB? Then Owen needs 2 of that amount. What is the total they need?

   Answer. 4

   Same y-coordinate, so distance = |0 − -2| = 2. Then multiply by 2: 4.

6. 6.

   Point A is (0, 4) and point B is (4, 4). What is the distance AB? Then Grace needs 5 of that amount. What is the total they need?

   Answer. 20

   Same y-coordinate, so distance = |4 − 0| = 4. Then multiply by 5: 20.

7. 7.

   Point A is (-2, -2) and point B is (3, -2). What is the distance AB? Then Elena needs 3 of that amount. What is the total they need?

   Answer. 15

   Same y-coordinate, so distance = |3 − -2| = 5. Then multiply by 3: 15.

8. 8.

   Point A is (-5, 2) and point B is (1, 2). What is the distance AB? Then Theo needs 5 of that amount. What is the total they need?

   Answer. 30

   Same y-coordinate, so distance = |1 − -5| = 6. Then multiply by 5: 30.

9. 9.

   Point A is (0, 2) and point B is (5, 2). What is the distance AB? Then Ava needs 4 of that amount. What is the total they need?

   Answer. 20

   Same y-coordinate, so distance = |5 − 0| = 5. Then multiply by 4: 20.

10. 10.

    Point A is (-3, 4) and point B is (0, 4). What is the distance AB? Then Grace needs 3 of that amount. What is the total they need?

    Answer. 9

    Same y-coordinate, so distance = |0 − -3| = 3. Then multiply by 3: 9.

11. 11.

    Think

    Priya tried this problem:
    Point A is (-4, 4) and point B is (0, 4). What is the distance AB?
    Priya wrote 8. That is not correct. What is the right answer?

    Answer. 4

    Priya’s answer 8 is off. Same y-coordinate, so distance = |0 − -4| = 4.

12. 12.

    Think

    Grace tried this problem:
    Point A is (1, 1) and point B is (5, 1). What is the distance AB?
    Grace wrote 3. That is not correct. What is the right answer?

    Answer. 4

    Grace’s answer 3 is off. Same y-coordinate, so distance = |5 − 1| = 4.

Original extra practice. Keys are computed from the items, not guessed.