## All Tasks

#### Find the value_1

Evaluate the following algebraic expression if $x=-2$ and $y=-3$
$A=\frac{x+3}3-2\frac{y+2}5$

# Equations & Inequations

Training

8

#### Simplification of algebraic expression_1

If we simplify the following algebraic expression $A= 2x+3y+7-3x+5x-3+7y$ into the form $ax+by+c$, where the $a,b$ and $c$ are rational numbers, the A is

# Linear equations

Training

8

#### Chain rule arcsin

Determine the equation of the normal line to the graph of $y(x)=6\arcsin(f(x))$ at $x=0$, knowing that $f(0)=0.5$ and $f'(0)=1$

# Functions of one variable

Reasoning

13

#### Differential - approximate arcsin

Use differential to approximate the change in
$y=\arcsin(1-x)$ when $x$ changes from $1$ to $0.95$.

# Functions of one variable

Reasoning

13

#### Translation of the verbal expression into algebraic expression_1

The following verbal expression:
In a number we add five and then we add the triple of him.
The translation of this verbal expression into an algebraic expression is:

# Terms with variables

Reasoning

8

#### Overtime

Kev and Doug are drivers of a parcel service.
Last month Kev get 875€ extra for 35 hours overtime working during a month. Calculate how many money Doug get in that month for 24 h overtime working, when he get the same money per hour.

# Direct proportionality & rule of three

Modeling

8