# Math interaction in your learning content

Use AlgebraKiT's components from your own learning resources. For example, include a dynamic geometry component for demonstration purposes. Or alternate your theory blocks with any of the automatically evaluated interactions.

AlgebraKiT's math components can be configured to blend seamlessly with your learning content.

Van Aubel's theorem

## Exercise 1

Solve these equations using the balance method.

a
b
c
practice
example
Writing linear functions
A new candle is 30 cm long. One burning hour reduces the height by 1.5 cm.
a
Write this as a mathematical function f(t) , where t is time in hours.
Solution: f(t) = 30 - 1.5 \cdot t
b
What is the height of the candle after 5 hours?
Solution: f(5) = 30 - 1.5 \cdot 5 = 30 - 7.5 = 22.5 cm
c
After how many hours has the candle burnt out?
Solution: Solve f(t)=0 : (click on a step for details)

## Exercise 2

This tabel shows the result of a survey among math students.

## Exercise 3

Try to find the function values for the given x . We have already filled out some solutions in the table as example.