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Matemáticas de noveno: repaso (sin geometría)

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Matemáticas de noveno: repaso (sin geometría)

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Quiz de álgebra y números

Created by

Juan Carlos Gil castaño
Juan Carlos Gil castaño
Colombia

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Matemáticas de noveno: repaso (sin geometría)
 

Matemáticas de noveno: repaso (sin geometría)Online version

Quiz de álgebra y números

by Juan Carlos Gil castaño
1

1) Resuelve: 2x − 5 = 3x + 7. ¿Cuál es x?

2

2) Factoriza: 12x^2 − 5x − 7.

3

3) Simplifica: (3x^2 − x)/x para x ≠ 0.

4

4) Resuelve la inecuación: 3x + 4 > 2x − 5.

5

5) Simplifica: (2^x)(4^x) = ?

6

6) Simplifica la fracción: (x^2 − 9)/(x^2 − 3x) para x ≠ 0,3.

7

7) Divide (x^3 − 6x^2 + 11x − 6) entre (x − 2).

8

8) Sistema: 2x + y = 7 y x − y = 1. ¿x y y?

9

9) Resuelve x^2 − 5x + 6 = 0.

10

10) Simplifica sqrt(72).

Explicación

La solución correcta: x= -12. Restando 2x y sumando 5 a ambos lados da -12. Las otras opciones no satisfacen la igualdad.

La factorización correcta es (3x−7)(4x+1). Las demás no expanden a 12x^2−5x−7.

Divides cada término entre x: 3x^2/x − x/x = 3x − 1. Evita dividir por x=0.

Restando 2x y 4, obtenemos x > −9. Las demás condiciones incluyen valores no permitidos.

Como 4^x = (2^2)^x = 2^{2x}, la multiplicación da 2^{x+2x}=2^{3x}.

Factoriza: (x−3)(x+3) /(x(x−3)) = (x+3)/x, siempre que x ≠ 0,3.

Síntesis de división: cociente es x^2 − 4x + 3. Resta queda 0.

Sumando las ecuaciones: 3x=8 → x=8/3; y = x − 1 = 5/3.

Factorización: (x−2)(x−3)=0. Raíces 2 y 3.

72 = 36·2, por lo que sqrt(72)=6√2. Las otras opciones no simplifican correctamente.

 
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