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Number line
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Adapted from a curriculum written by Alexander Shen, Moscow, Russia
  1. Where is the midpoint of a segment if its endpoints are at 17 and 33?
  2. Where are the points that divide the segment with endpoints -4 and 1 in these proportions?
    1. 2:3
    2. 3:4
  3. A point at x on a number line was moved 5 units to the left. Where is it now?
  4. A point at x2 on a number line lies to the right of a point at x. What value can x have?
  5. Where is the midpoint of a segment if its endpoints are at a and b?
  6. On these number lines, mark all points x such that
    1. x - 13 is an integer:

      PIC

    2. x2 is an integer:

      PIC

    3. 2x is an integer:

      PIC

    4. x - 2 < 2x:

      PIC

  7. On a number line, mark all points x so that among inequalities
    x > 1,x >  2,...,x > 9,x > 10
    1. exactly three are true:

      PIC

    2. an even number is true:

      PIC

Answers
Problem

  1. 25
    1. -2 or -1
    2. -117 or -167
  2. x - 5
  3. x < 0 or x > 1
  4. a+b
-2-
    1. PICT
    2. PICT
    3. PICT
    4. PICT
    1. PICT
    2. PICT

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