All Tasks

Recognition

Choose the correct answer with matching the parabola with her form $ 1)y= - 3x² $ $ 2) y=\frac{1}{2}x² $ $3) y=4x^2 $ $4) y= -\ \frac{1}{2}x²$
 
# Quadratic functions

Reasoning
9

Linear equations strategy 1

Solve the linear equation by calculating backwards as in the example: 9a – 19 = 17
 
# Linear equations

Training
7

Solvable or not?

Which of the following equations is not solvable?
 
# Linear equations

Reasoning
9

Inverse function of arcsin

Consider $f(x)= a -2 \arcsin(1-2x)$ with domain $D_f=[0,1]$ and range $D'_f = \left[ 0, 2\pi\right] $. Determine the analytic expression of the inverse function of $f$, $f^{-1}(x)$, and use that to calculate the value of $a \in \mathbb R$ knowing that $f^{-1}(0)=0$.
 
# Functions of one variable

Training
13

Find the coefficients of terms in algebraic expression_2

Find the number $a$ if the following algebraic expression is independent of $y$. $A= a(x+y+2)-2(x+2y)+6$
 
# Linear equations

Reasoning
8

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