GUÍA RETROALIMENTACIÓN FINAL

I. Operatoria con fracciones.

1) 2)

3) 4) 5)

II. Ecuaciones cuadráticas.

1) 6X2 + 8X - 2 = 0 X1= ________ X2= ________

2) 5X2 + 4X + 6 = 0 X1= ________ X2= ________

3) -4X2 + 6X + 5 = 0 X1= ________ X2= ________

4) 11X2 + 5X - 8 = 0 X1= ________ X2= ________

5) 7X2 + 11X - 3 = 0 X1= ________ X2= ________

6) -6X2 + 12X + 7 = 0 X1= ________ X2= ________

III. Sistemas de ecuaciones

1) 5X + 4Y = 29 X= ____ 2) 6X + 3Y = 24 X= ____ 3X - 2Y = 13 Y= ____ -4X + 2Y = -8 Y= ____

3) 2X - 5Y = -26 X= ____ 4) -3X - 6Y = -39 X= ____ 3X + 3Y = 3 Y= ____ -2X - 5Y = -30 Y= ____

IV. Inecuaciones.

a) 3x + 7 ≤ 9x - 11 b) 5x - 18 > 3x - 12c) 8x + 9 < 5x - 15 d) -4x - 5 ≥ 11x - 6e) -9x + 15 ≥ -5x + 5 f) 4x - 5 > 6x - 15

g) 4x - 3 > 2x + 9 h) 11x + 15 < 8x + 1 i) 9x - 9 ≥ 2x + 3 -2x - 4 ≤ 4x - 12 4x - 10 > 6x - 7 4x - 10 < 6x - 10

V. Trigonometría.

1 α = 37º a = 38 b = c =

2 α = 88º a = b = 79 c =

3 α = 17º a = b = c = 84

4 β = 4 π / 10 a = b = c = 105

5 α = 43,7º a = b = 36 c =

6 β = π / 6 a = 28 b = c =

7 α = 66º a = b = 62 c =

8 β = 5 π / 18 a = b = c = 140

9 β = 14,5º a = b = c = 75

10 α = 21º a = b = 41 c =

11 β = 4 π / 45 a = b = 17 c =

12 α = 48º a = 50 b = c =

A

B C a

b c

α

β