Quiz about Álgebra UNAM

Question 1

Desarrolla el siguiente binomio

$$\left(2a+3ab\right)^2$$

Accepted Answer

$$4a^2+12a^2b+9a^2b^2$$

Answer

$$a^2+6a^2b+9a^2b^2$$

Answer

$$a^2+2a^2b+a^2b^2$$

Answer

$$4a^2+4a^2b+9a^2b^2$$

Question 2

Al factorizar

$$4x^2-1$$

Se tiene

Accepted Answer

$$\left(2x-1\right)\left(2x+1\right)$$

Answer

$$4\left(x-1\right)^2$$

Answer

$$\left(2x-1\right)^2$$

Answer

$$4\left(x^2-1\right)\left(x+1\right)$$

Question 3

Al dividir $$\frac{x^2+4x}{8}$$ entre $$\frac{x^2-16}{4}$$

Accepted Answer

$$\frac{x}{2x-8}$$

Answer

$$\frac{4}{\left(x+4\right)}$$

Answer

$$\frac{x}{2x+8}$$

Answer

$$\frac{2x}{x-8}$$

Question 4

Al factorizar

$$x^2-10x$$

se obtiene

Accepted Answer

x(x-10)

Answer

$$\left(x-5\right)^2$$

Answer

(x+5)(x-5)

Answer

(x+5)(x-10)

Question 5

Resuelve el siguiente sistema de ecuaciones

2x - 3y = 6

x - 4y = 8

Accepted Answer

x=0y=-2

Answer

x=9y=4

Answer

x=4y=-1

Answer

x=6y=2

Question 6

Calcula $$\left(2a-1\right)^2$$

Accepted Answer

$$4a^2-4a+1$$

Answer

$$4a^2+1$$

Answer

$$2a^2+4a-1$$

Answer

$$2a^2+2a-1$$

Question 7

Simplifique la siguiente suma

$$\frac{5}{4x^2}+\frac{7}{6x}$$

Accepted Answer

$$\frac{15+14x}{12x^2}$$

Answer

$$\frac{12x^2}{15+14x}$$

Answer

$$\frac{28x^2}{30x}$$

Answer

$$\frac{30x}{28x^2}$$

Question 8

Simplifique

$$\frac{1-\frac{2}{x+1}}{x-\frac{1}{x}}$$

Accepted Answer

$$\frac{x}{\left(x+1\right)^2}$$

Answer

$$\frac{\left(x+1\right)^2}{x}$$

Answer

$$\frac{x}{\left(x^2+1\right)}$$

Answer

$$\frac{\left(x-1\right)^2}{x}$$

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