Quiz about Wyrażenia algebraiczne

Question 1

Iloraz sumy kwadratu liczby $$x$$ i kwadratu liczby $$y$$ oraz liczby 5 zapisujemy w postaci:

Accepted Answer

$$\frac{x^2+y^2}{5}$$

Answer

$$\frac{\left(x+y\right)^2}{5}$$

Answer

$$5\left(x+y\right)^2$$

Answer

$$5\cdot\left(x^2+y^2\right)$$

Question 2

Jednomiany podobne to:

Accepted Answer

$$a^2b^2c$$ i $$-2b^2a^2c$$

Answer

$$a^2bc$$ i $$a^2b^2c$$

Answer

$$0,5a^2b^2c$$
i $$0,5a^2c^2b$$

Answer

$$4a^2b^2c$$ i $$-5a^2bc$$

Question 3

Zredukuj wyrazy podobne:
$$2x-4x^2-\frac{1}{2}x+7-x^2$$

Accepted Answer

$$-5x^2+1\frac{1}{2}x+7$$

Answer

$$-4x^2+x+7$$

Answer

$$-5x^2+x+7$$

Answer

$$-4x^2+1\frac{1}{2}x+7$$

Question 4

Zapisz w postaci sumy algebraicznej:
$$\left(z-3\right)\left(2z+1\right)$$

Accepted Answer

$$2z^2-5z-3$$

Answer

$$2z^2-3z+1$$

Answer

$$-2z^2+5z+3$$

Answer

$$2z^2+5z-3$$

Question 5

Zapisz w postaci sumy algebraicznej:
$$\left(4b-1\right)\left(-b-3\right)$$

Accepted Answer

$$-4b^2-11b+3$$

Answer

$$4b^2-11b+3$$

Answer

$$-4b^2+11b+3$$

Answer

$$-4b^2+11b-3$$

Question 6

Zapisz w postaci sumy algebraicznej:
$$\left(2a+5b\right)^2$$

Accepted Answer

$$4a^2+20ab+25b^2$$

Answer

$$8a^2+15ab+20b^2$$

Answer

$$2a^2+5b^2$$

Answer

$$4a^2+10ab+25b^2$$

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