## Όλα τα έργα

#### Challenging task for "from natural to algebraic language"

Translate the following sentence in algebraic language:
The quintuple of a number subtracted to its triple is equal to its double.

# Numbers & operations

Training

8

#### Challenging task for Common elements in different expressions

What do the following mathematical expressions have in common?
$(x-2)^4; |-3|; 5; x^2+1.$

# Numbers & operations

Reasoning

9

#### Common elements in different expressions

What do the following mathematical expressions have in common?
$3 \cdot 5a$, $(x+y) \cdot 3$, $9v$, $3z+3w$, $\frac{6c}{2}$

# Terms

Reasoning

8

#### Modeling bakery

A baker cooks 9 apple pies and 12 chocolate pies for each gram of yeast he has in a day. Everyday 1/3 of the cooked cakes doesn't grow well, so the baker can't sell them. Can you tell how many cakes the baker can sell everyday for each gram of yeast he has?

# Terms with variables

Modeling

7

#### Let's walk it!

Choose the program that will walk Scratch the cat along the spirale of integers! (see the first hint for a reminder)

# Unassigned

Modeling

5

#### The cube

Written with this little fancy three up in the air, the cube of a number is simply this number multiplied by itself twice. For example $2^3=2\times 2\times 2=8$. Compute the cube of the following numbers:

# Monomials & polynomials

Learning

8