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Aventura algebraica 9º

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Aventura algebraica 9º

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Desafíos de álgebra (sin estadísticas ni geometría)

Created by

Juan Carlos Gil castaño
Juan Carlos Gil castaño
Colombia

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Aventura algebraica 9º
 

Aventura algebraica 9ºOnline version

Desafíos de álgebra (sin estadísticas ni geometría)

by Juan Carlos Gil castaño
1

¿Cuál es el valor de x si 2x - 7 = 5?

2

Resuelve: 3(x-4)=-6

3

Factoriza: y^2 - 9

4

Simplifica: 6a/3a

5

Si 2/5 = x/15, ¿cuál es x?

6

Resuelve la desigualdad: 4t - 7 < 5

7

Expande: (x+4)(x-2)

8

Encuentra el valor de n si n^2 = 81

9

Resuelve: 5x - 2(3x+4)=0

10

Si 9a = 3b y a=2, ¿cuánto vale b?

Explicación

Suma 7 a ambos lados: 2x = 12; x = 6.

Divide ambos lados por 3: x-4=-2; x=2.

Es diferencia de cuadrados: a^2- b^2 = (a-b)(a+b).

Divides numerador y denominador por 3a.

Cruce de fracciones: x = 2/5 × 15 = 6.

4t < 12; t < 3.

Producto de binomios: x^2 +4x -2x -8 = x^2+2x-8.

Raíz cuadrada de 81 es ±9.

Expande: 5x -6x -8=0; -x=8; x=-8; error: recalcula: 5x-6x-8=0 → -x=8 → x=-8; verif: x= -8 no funciona. Recompute: 5x-6x-8=0 → -x=8 → x=-8. Correct answer -8. Ajuste.

9a=3b; con a=2:18=3b; b=6.

 
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