Algebra

Ecuaciones lineales

100

-3(- 2x + 20) + 8(x + 12) = 92

x = 4

200

5(c -8) - 3(2c + 12) = - 84

x = 8

300

3 (2a + 3) - 4(3 a - 6) =15

a = 3

400

- 4(3 m - 10) - 6(-7 m - 6) = -74

m = - 5

500

5(x + 3) + 2(1 - x) = 14

x = - 1

Pendiente e intercepto en y

100

3 x + 4 y = 8

m = -3/4

intercepto en y = 2

200

(0,4), (5, 9)

m =1

intercepto en y = 4

300

- 8 x + 6 y + 40 = 0

m = 4/3

intercepto en y = - 20/3

400

20 x + 85 y = 120

m = - 4 /17

intercepto en y = 24/17

500

(0, 15), (10, 27)

m = 6/5

intercepto en y = 15

Operaciones con funciones

100

f(x) = x² - 4, g(x) = 2 x +1

^{(f + g) (x) =} 

(f + g) (x) =x² +2 x - 3

200

f(x) = x² - 4, g(x) = 2 x +1

^{(f - g) (x) =} 

(f - g) (x) = x² - 2 x - 5

300

f(x) = x² - 4, g(x) = 2 x +1

^{(f * g) (x) =} 

(f * g) (x) = 2 x³ + x² - 8 x - 4

400

f(x) = x² + 5 x - 2

g(x) =3 x - 2

(f + g) (x) =

(f + g) (x)= x² + 8 x - 4 

500

f(x) = x² + 5 x - 2

g(x) =3 x - 2

(f - g) (x) =

(f - g) (x) = x² + 2 x

Evaluar funciones

100

f(x) = x² + 5 x - 2

g(x) =3 x - 2

f (3) =

f (3) = 22

200

f(x) = x² + 5 x - 2

g(x) =3 x - 2

g (-2) =

g (-2) = - 8

300

f(x) = x² + 5 x - 2

g(x) =3 x - 2

f ( -2) =

f (-2) = - 8

400

f(x) = x² + 5 x - 2

g(x) =3 x - 2

g (2/3) =

g (2 /3) = 0

500

f(x) = x² + 5 x - 2

g(x) =3 x - 2

f (0) =

f (0) = - 2

Factorización

100

x² + 11 x + 28 = 0

x = -7, x = -4

200

x² - x - 30 = 0

x = 6, x = - 5

300

4 x² - 28 x = 0

x = 0, x = 7

400

9 x² - 30 x = 0

x = 0, x = 10/3

500

80 - 5 x² = 0

x = - 4, x = 4