The three core principles of the **algebra interaction** are:

## AlgebraKiT **automatically simplifies** an expression.

The default task when creating an algebra interaction is set to **Simplify**. With this task selected, AlgebraKiT automatically simplifies the given expressen.

**Try it yourself:**

- 2x+4x+4

AlgebraKiT will combine the like terms. - x(x+1)

AlgebraKiT will do nothing. Expanding the brackets is not necessarily ‘simpler’. - x(x+1)-x^2

Now AlgebraKiT will expand the brackets, because it can then cancel terms and reach a simple result. - \frac{2x+4}{x^2+2x}

Using the mathematical knowledge that AlgebraKiT has, it decides to factor both numerator and denominator and cancel factors to reach a simpler result.

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## The interaction **tasks** indicate what the student should do.

An important principle in AlgebraKiT is that an author does not specify the answer, but the problem. This allows AlgebraKiT to evaluate intermediate steps and support the student with the derivation.

You can use the dropdown elements to choose from the available tasks.

**Try it yourself: **

- Solve 2(2x+5)=5-x
- Expand x(x+1)
- Factor 4x^2+12x
- Write 184300 into scientific notation.

## You can use **audience and modes** to influence *how* AlgebraKiT solves the problem.

#### Audience

The **audience** defines the type of student for which the exercise was meant. It influences what mathematical steps are available and how expressions are written.

#### Modes

With **modes** you can give AlgebraKiT more information about the problem.

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