Quiz about Monomi

Question 1

L'espressione $$\left[\left(-3a^3\right)\left(-2a\right)+\left(-2a^2\right)\left(-2a\right)^2\right]^2:\left(-4a^3\right)$$ ha come soluzione il monomio:

Accepted Answer

$$-a^5$$

Answer

$$-a^3$$

Answer

$$a^5$$

Answer

$$a^2$$

Question 2

Traduci la seguente frase in espressione algebrica:

"il quoziente fra il prodotto di due numeri e il doppio della loro somma"

Accepted Answer

$$\frac{xy}{2\left(x+y\right)}$$

Answer

$$\left(xy\right)\cdot\left[2\left(x+y\right)\right]$$

Answer

$$\frac{2\left(x+y\right)}{xy}$$

Answer

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

Question 3

Traduci la seguente frase in espressione algebrica:

"il prodotto tra il quadrato di x e il quadrato della somma tra il doppio di x e il quadrato di un altro numero"

Accepted Answer

$$x^2\cdot\left(2x+y^2\right)^2$$

Answer

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

Answer

$$x\cdot\left(x^2+2y\right)^2$$

Answer

$$x^2+\left(2x+y\right)^2$$

Question 4

$$-2x\left(2x\right)+\left(-9x^2y^3\right):\left(+3x^2y\right)+\left(-3y\right)^2-x^2-\left(-2y\right)\left(-3y\right)=$$

Accepted Answer

$$-5x^2$$

Answer

$$15xy$$

Answer

$$-5y^2$$

Answer

$$5x^2$$

Question 5

$$\left[\left(-\frac{1}{2}a^3b\right)\left(8a^3b^2\right)\right]^2:\left(2a^3b^2\right)^3+\left[\left(a^2b\right)\left(ab^2\right)^3\right]:\left(-a^2b^3\right)^2-\left(-3a^2\right)^3:\left(3a^3\right)-3ab=$$

Accepted Answer

$$11a^3-2ab$$

Answer

$$11ab-2a^3$$

Answer

$$2a^2-11ab$$

Answer

$$11a^3+2ab$$

Question 6

$$\left(-0,2ab\right)\left(-5bc\right)+3abc+\left(\frac{6}{5}ab\right)\left(1,\overline{6}\ bc\right)-\left(1,5a\right)\left(-2bc\right)=$$

Accepted Answer

$$3ab^2c$$

Answer

$$0,\overline{3}\ abc$$

Answer

$$3a^2bc$$

Answer

$$\frac{1}{3}ab^2c^2$$

Question 7

Un rettangolo ha area uguale a $$6ab$$ e si sa che la base misura $$2a$$ .

Determina il perimetro del rettangolo.

Accepted Answer

$$4a+6b$$

Answer

$$6a+4b$$

Answer

$$2\left(4a+6b\right)^2$$

Answer

$$4a-6b$$

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