Test14

For 14 years old young

1st Bimester - RADICALS

  1. Achieve the powers:
        a) (-3)4   b) -42   c) 5-2   d) (3/4)3
  2. Using properties, simplify the expression: (37:35).34.
  3. Simplify the root: 10Ö35.
  4. Write as a only radical: Ö3.Ö2.Ö7.
  5. Write in form of radical the follow power of fractionary expoent: 73/5.

2nd Bimester - QUADRATIC EQUATIONS

  1. Write in the reduced form (ax2+bx+c=0) the equations:
        a) x - x2 = 12 - 3x
        a) (2x - 1)2 = 7(x + 2)2
  2. Solve the incomplete equations:
        a) x2 - 2x = 0
        a) 9x2 - 1 = 0
  3. Solve the equations:
        a) 2x2 - 7x + 3 = 0
        a) x2 + 8x + 15 = 0
  4. Solve the literal equation x - (m + n)x + mn = 0
  5. Solve the system of equations:
        x2 - y2 = 12
        xy = 8


3rd Bimester - FUNCTIONS

  1. Represent in the system of the cartesians axles the points of the relations
    T={(-2, 1), (-1, 2), (0, 3)}, from A to B, A={-2, -1, 0, 1} and B={0, 1, 2, 3, 4}.
  2. Let be A={-1, 0, 1, 2} and B={-2, 0, 2, 4}. Draw the diagram of arrows for the relation K={(-1, 0), (0, 0), (1, 2), (2, 2)} and decide if K is a function from A to B.
  3. Let be the function f(x) = 2x + 6, of real variable. So:
        a) Determine the ordinate of zero, interception of the function.
        b) Obtain the root of the function.
        c) Plot the graphic of this function.
  4. For the quadratic function f(x)=-x2 + 6x -8, determine:
        a) f(2)
        b) The roots of the function.
        c) If the overture of the parabole is up or down.
  5. Determine the coordinates of the vertices(???) of the parabole with equation
    f(x) = x2 - 4x + 3



4th Bimester - GEOMETRY AND TRIGONOMETRIC RATIOS

  1. A segment with extremities A and C has a such point B that the ratio AB/BC = 5/3. If AC has measure 42 cm, how much are the measures of AB and BC?
  2. The triangles ABD, ADC and ABC are similar. Obtain the measure of BD and DC.
          Similar
  3. AB and BC are chords of a circle, with measures 5 cm and 12 cm. Using the Pithagoric Theorem, achieve the measure of the diameter AC opf the circle.
  4. The circle in the figure has ray with 2 cm. Obtain the area of the painted part (circle minus square).
            Inscript
  5. Determine the values of sinÂ, cos and tanÂ, considering the figure below.
              Rect triangle



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