1.     6     7     8     (counting numbers)
        8     13     21     (Fibonacci Sequence -- sum of previous two numbers)
        S     S     E     (first letter of counting numbers)
        J     J     A     (first letter of the months)
        S     U     N     (first letter of the planets)
        8     (the product of the digits in the previous number)
        1/3     (take 1/2 the previous number, then 1/3, 1/4, 1/5, and finally 1/6)

  2. The greatest number that you can't order is 43 McNuggets.
        44 = 4 x 6 + 20
        45 = 3 x 9 + 3 x 6
        46 = 2 x 20 + 6
        47 = 3 x 9 + 20
        48 = 8 x 6
        49 = 9 + 2 x 20
        You can get all numbers greater than 49 by adding multiples of 6 to the numbers above.

  3. The fourth child was Henry (see first line of poem).

  4. The letter L.

  5. S T A R T L I N G.
    S T A R L I N G.
    S T A R I N G.
    S T R I N G.
    S T I N G.
    S I N G.
    S I N .
    I N .
    I .


  6. Three pets -- 1 dog, 1 cat, 1 parrot.

  7.   1 Horn on a Unicorn
      2 Halves in a Whole or 2 Hydrogens in a Water
      3 Periods in a Hockey Game
      4 Quarters in a Game or 4 Quadrants in a Grid or 4 Quarts in a Gallon
      5 Toes on a Foot
      6 Strings on a Guitar
      7 Holes in a Human Head
      8 Sides on a Stop Sign
      9 Players on a Baseball Team
    10 Yards in a Down or 10 Years in a Decade

  8. The total is 4,100.

  9. If you take the end of the first word and combine it with the beginning of the second word, you will get the name of a color -- the color in which the phrase is written.
    The colors are RED, SILVER, GOLD, BLACK, PINK, ORANGE, GREEN, BROWN, PURPLE, and TAN.

  10. The Math Vocabulary answers are:
          (1) Vertices      (Verty sees)
          (2) Empty Set      (M.T. Sette)
          (3) Cylinder      (still in their)
          (4) Parallel Lines      (pair a lil lions)
          (5) Concave      (Con Cave)
          (6) Collinear      (cold in here)
          (7) Hypotenuse      (high pot in use)
          (8) Trapezoid      (trap a zoid)


  11. Here are the owners of the Vanity Plates:
          (1) Pascal           (Pascal's Triangle)
          (2) Fibonacci           (Fibonacci sequence 1, 1, 2, 3, 5, 8, ...)
          (3) Pythagoras           (Pythagorean triple)
          (4) Leibniz           (Leinbiz's notation for derivative)
          (5) John Kemeny           (authored BASIC computer language)
          (6) Descartes           (founder of Coordinate Geometry)
          (7) Celsius           (formula for Celsius temperature)
          (8) Nicolas Wirth           (developed structured computer langauage)
          (9) Euler           (developed math notation for e, i, pi, f(x))
          (10) Euclid           (wrote The Elements)


  12. The secret number is five.

  13. Answers to the Questions for Discussion:
      (1) It depends on the value of x:
            If x is negative, then -x is larger; if x is positive, then x is larger;
            if x is zero, then x = -x.
      (2) When x is negative or zero.
      (3) For positive numbers less than 1 and negative numbers less than -1.
      (4) For positive numbers less than 1.
      (5) No real numbers make this statement true.
      (6) No. For example, a = 3 and b = -3.
      (7) No real numbers make this statement true. It is equal to (x + 2) squared.
      (8) No real numbers make this statement true.
      (9) 22/7 is largest (3.14285...), Pi is next = 3.14159..., and 3.14 is smallest.
      (10) There are several answers:
            a = 3, b = 3, c = 3 and
            a = 3, b = 6, c = 2