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$$\begin{gathered} \dfrac{a}{b}\pm\dfrac{c}{d}=\dfrac{ad\pm bc}{bd} \\[5pt] \dfrac{a}{b}\cdot\dfrac{c}{d}=\dfrac{ac}{bd},\quad \dfrac{a}{b}:\dfrac{c}{d}=\dfrac{a}{b}\cdot\dfrac{d}{c} \end{gathered}$$

$$a:b=c:d\iff a\,d=b\,c$$

$$\begin{gathered} p\%\ \text{od}\ x=\dfrac{p}{100}\cdot x \\[5pt] \text{uvećanje: } x\Big(1+\dfrac{p}{100}\Big),\quad \text{umanjenje: } x\Big(1-\dfrac{p}{100}\Big) \end{gathered}$$

$$\begin{gathered} a^m\cdot a^n=a^{m+n},\quad \dfrac{a^m}{a^n}=a^{m-n} \\[5pt] (a^m)^n=a^{mn},\quad a^{-n}=\dfrac{1}{a^n},\quad a^0=1 \end{gathered}$$

$$\begin{gathered} (a\pm b)^2=a^2\pm 2ab+b^2 \\[5pt] a^2-b^2=(a-b)(a+b) \end{gathered}$$

$$ax+b=0 \;\Rightarrow\; x=-\dfrac{b}{a}\quad (a\neq 0)$$

$$\begin{gathered} a_1x+b_1y=c_1 \\[5pt] a_2x+b_2y=c_2 \end{gathered}$$

$$\begin{gathered} y=kx+n \\[5pt] k=\dfrac{y_2-y_1}{x_2-x_1} \end{gathered}$$

$$\begin{gathered} \alpha+\beta+\gamma=180^\circ \\[5pt] P=\dfrac{a\cdot h_a}{2},\quad O=a+b+c \end{gathered}$$

$$a^2+b^2=c^2$$

$$\begin{gathered} P_{\text{kvadrat}}=a^2,\quad P_{\text{pravoug.}}=ab \\[5pt] P_{\text{paralelogram}}=a\,h,\quad P_{\text{trapez}}=\dfrac{a+b}{2}\,h \end{gathered}$$

$$O=2r\pi,\quad P=r^2\pi$$

$$\begin{gathered} V_{\text{kvadar}}=abc,\quad P_{\text{kvadar}}=2(ab+bc+ca) \\[5pt] V_{\text{kocka}}=a^3,\quad P_{\text{kocka}}=6a^2 \end{gathered}$$

$$\begin{gathered} V_{\text{prizma}}=B\cdot H \\[5pt] V_{\text{valjak}}=r^2\pi H,\quad P_{\text{valjak}}=2r\pi(r+H) \end{gathered}$$

$$\bar{x}=\dfrac{x_1+x_2+\cdots+x_n}{n}$$

$$P=\dfrac{\text{broj povoljnih ishoda}}{\text{broj svih ishoda}}$$