## All Tasks

#### Linear system equations and Gauss elimination method

Applying the Gauss elimination's method, the solution of the linear system equations
$$
\left\{
\begin{array}{l}
2x+y-z=1\\
-x+2y-3z=1\\
4x+z=2
\end{array}
\right.
$$
is:

# Matrices

# System of linear equations

Training

13

#### Matrix representation of a system of linear equations

Consider the system of linear equations
$$
\left\{
\begin{array}{l}
x-y+2z=3\\
-3y-z=-5\\
3x-y+4z=7
\end{array}
\right.
$$
The second and the fourth columns of the matrix that represents the system are:

# System of linear equations

Training

13

#### Special matrices

Consider the matrices:
$A=\begin{bmatrix}
1 & 0 & 0 \\
0 & 1 & 0 \\
0 & 0 & 1
\end{bmatrix}$,
$B=\begin{bmatrix}
0 & 0 & 0 & 0\\
0 & 0 & 0 & 0
\end{bmatrix}$,
$C=\begin{bmatrix}
1 & 2\\
3 & 4
\end{bmatrix}$,
$D=\begin{bmatrix}
1
\end{bmatrix}$,
$E=\begin{bmatrix}
1 \\
2 \\
3
\end{bmatrix}$ and
$F=\begin{bmatrix}
4 & 3 & 2 & 1
\end{bmatrix}$.
Select the true statements:

# Matrices

Training

13

#### Points on a graph

Sketch a the coordinate system. Draw a line through the points A(-5; -4) and B(5; 4). Cross all the correct answers concerning this line.

# Linear functions

Training

8

#### Match the trip with its equation

Chippy the Cheatin’ Chipmunk started at the 4-foot line, he is on a holiday trip with its motorcycle and travels at a constant speed of 12 feet per second. Match the trip with its equation.

# Linear functions

Modeling

8

#### Linear functions at situations practice

Alexandria started at the 4-foot line. She ran up toward the finish line at a constant rate of 7 ft/s. How far in feet will Alexandria be after 8 seconds?

# Linear functions

Modeling

8