## All Tasks

#### 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

#### Proportional relations

Cross for the following relations if they are based on a proportional relation.

# Direct proportionality & rule of three

Reasoning

7

#### Candles for making a movie

Ana is making a movie. She is filming a fancy dinner scene and she has two types of candles with the data included in the task image.
She wants to determine how long the candles will last. She takes a picture, lights the candles, and then lets them burn for 1 hour. She then takes a second picture. You can assume that each candle burns at its own constant rate.
The height of each candle Ana uses, h, corresponds to a linear function that depends on the time, t, following the equation h = k + nt
What do the parameters k and n represent in the equation h = k + nt?

# Polynomial functions

Modeling

9