Mathematical Area	Formula	Description	Example
Calculus	\( \int_a^b f(x) \, dx \)	Definite integral	\( \int_0^1 x^2 \, dx = \frac{1}{3} \)
Linear Algebra	\( A \mathbf{x} = \mathbf{b} \)	Matrix equation	\( \begin{bmatrix} 2 & -1 \\ 3 & 4 \end{bmatrix} \begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} 1 \\ 7 \end{bmatrix} \)
Statistics	\( \bar{x} = \frac{1}{n} \sum_{i=1}^n x_i \)	Mean (average)	\( \bar{x} = \frac{1}{5} \sum_{i=1}^5 x_i \)
Geometry	\( A = \pi r^2 \)	Area of a circle	\( A = \pi \cdot 5^2 = 25\pi \)

Lineare Funktionen - 7. Klasse

a) Bestimmen Sie die Steigung (Anstieg) der linearen Funktion f(x) = 5x + 6

a) Solve \( ( 5 x 5)^2 \)

5 \( (5)^2 \) Ivana ima neke jabuke i neke kruške. Ukupno ima 5 voćki. Broj jabuka je za 12 manji od broja krušaka. Koliko jabuka i krušaka ima?

b) Solve \( (12 \cdot 12)^2 \) : \[ ((12 \cdot 12)^2) \] c) Solve \( 6 + 6 \cdot 6 \) : \[ (6 + 6 \cdot 6) \] d) Solve \( (9 \cdot 9)^2 \) : \[ ((9 \cdot 9)^2) \] e) Solve \( 1 + 1 \cdot 1 \) : \[ (1 + 1 \cdot 1) \] f) Solve \( 6 \cdot 6 - 6 \) : \[ (6 \cdot 6 - 6) \] g) Solve \( (2 \cdot 2)^2 \) : \[ ((2 \cdot 2)^2) \] h) Solve \( 11 + 11 \cdot 11 \) : \[ (11 + 11 \cdot 11) \] i) Solve \( (3 \cdot 3)^2 \) : \[ ((3 \cdot 3)^2) \] j) Solve \( 5 + 5 - 5 \) : \[ (5 + 5 - 5) \]