## All Tasks

#### Translation of the verbal expression into algebraic expression_2

The algebraic expression of the following verbal expression:
a number $x$ is multiplied by $2$ and then we increased by $7$ in the end the result we multiply by $3$

# Unassigned

Reasoning

8

#### Simplify the algebraic expression_2

If we simplify the expression:
$ 3,5x-2y+6,5x-3,5y+2,3-7x-6$ the result is....

# Linear equations

Learning

8

#### Distributive Property in Algebraic Expressions_1

Fill in the blanks with numbers to make the following equalities true

# Unassigned

Training

8

#### Tangent and normal lines

Consider the function $f$, with domain $D_f = \left[0, 1\right]$, defined by $f(x)= \dfrac{\pi}{2} -2 \arcsin(1-2x)$.
Let $r$ be the line tangent to the graph of the function $f$ at the point with abscissa $a$.
It is known that line $r$ is perpendicular to line $x+4y=12$.

# Functions of one variable

Training

13

#### Missing coordinate

Give the missing coordinate p of the point P(2.2;p) in that way, that P is element of the graph of the linear function f with f: y = 4.4 - 0.5 x

# Unassigned

Training

7

#### Escalator

The ride on an escalator can be described by the function f with f: y = -0.4 x + 6.6. Thereby x is in this equation the time for the ride in seconds, y the height in meter.
A person take the escalator to the next floor. The next floor is 3.5 m heigt. Estimate the time for the ride.

# Unassigned

Modeling

5