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Desafío Saber 11: Álgebra Interactiva

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Desafío Saber 11: Álgebra Interactiva

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Quiz interativo de álgebra ICFES

Created by

Laura Daniela Rivas Sánchez
Laura Daniela Rivas Sánchez
Colombia

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Desafío Saber 11: Álgebra Interactiva
 

Desafío Saber 11: Álgebra InteractivaOnline version

Quiz interativo de álgebra ICFES

by Laura Daniela Rivas Sánchez
1

¿Cuál procedimiento es correcto para factorizar x^2 - 9?

2

¿Qué expresión representa mejor la situación: el área de un cuadrado de lado (y+4)?

3

¿Cuál es el producto notable de (a+b)^2?

4

¿Qué opción es la factorización correcta de x^2 - 6x + 9?

5

¿Qué método es adecuado para factorizar un trinomio de la forma x^2+5x+6?

6

¿Cuál procedimiento es correcto para resolver 2x+3=11?

7

¿Qué expresión representa mejor la solución de 3x-4≤8?

8

¿Qué inecuación describe que el ingreso I es mayor que el gasto G si I=2x+1 y G=x+5?

9

¿Qué afirmación es verdadera sobre la factorización x^2+4x-5?

10

¿Qué error comete quien factoriza x^2-7x como (x-7)(x-1)?

Explicación

La diferencia de cuadrados se expresa como (a^2-b^2)=(a-b)(a+b). En este caso a=x, b=3. Detectar la estructura correcta evita errores de factorización.

El área de un cuadrado de lado (y+4) se obtiene al elevarlo al cuadrado: (y+4)^2 = y^2+8y+16.

El cuadre de la suma genera a^2+2ab+b^2; hay dos términos de a^2 y b^2 y un 2ab.

x^2-6x+9 es un trinomio cuadrado perfecto igual a (x-3)^2.

Buscar dos números que multiplicados den 6 y sumen 5 da 2 y 3; así (x+2)(x+3) se factoriza correctamente.

Aplicar ecuaciones lineales: despejar x requiere restar 3 y luego dividir entre 2.

3x-4≤8→3x≤12→x≤4. Intervalos en contexto: todas las x hasta 4.

Ineq correcta se obtiene sustituyendo I y G y comparando: 2x+1> x+5.

Para factorizar, buscar números cuyo producto sea -5 y suma 4: 5 y -1. Así (x+5)(x-1) da x^2+4x-5.

El correcto es x(x-7); errores comunes confunden coeficientes y productos.

 
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