How to form sentences in Hungarian?

1. Personal pronouns in the Hungarian language are:
én / I te, ön / you ő / he, she, it
mi / we ti, önök / you ők / they

As you probably noticed, there are two forms in second person: 'te' and 'ön'. The first version is used among relatives and friends and the second is a formal version, used otherwise. The formal version is not used among children and teenagers. The formal - informal pair exists in plural too as 'ti' and 'önök'. In order to form sentences, we need some other words, adjectives or verbs. Since verbs have complicated conjugation, I use adjectives in the first lesson - verbs come later.
2. Some basic adjectives
magas / tall szép / beautiful beteg / sick
fiatal / young kedves / nice okos / smart

3. To form basic sentences with personal pronouns and adjectives, we need to use the verb 'lenni - to be' in conjugated form as follows:
én vagyok / I am te vagy / you areő (van) / he, she it is
mi vagyunk / we are ti vagytok / you are ők (vannak) / they are

You find parantheses in the third person forms, because they are omitted most of the times.
Now it is time for the first sentences! Let's use the adjective 'magas' in singular mode.
Én magas vagyok. -- I am tall.
Te magas vagy. -- You are tall.
Ő magas. He/She is tall.
Since the verb 'van' has different form in different person, the verb itself can refer to the person. Based on the ending, you know the subject of the sentence - therefore we might omit the personal pronouns 'én' and 'te', and might say shortly:
Magas vagyok. -- I am tall.
Magas vagy. -- You are tall.

4. Sentences can be created similarly in plural. However adjective must be in plural mode, so that it receives and -ak ending. Hungarian is a language of endings, often multiple endings. The ending of plural is '-k', or '-ak','-ek', '-ök' You will learn later how to pick the appropriate form of these endings for a particular word.
Let's create some sentences in plural now.
Mi magasak vagyunk. or just Magasak vagyunk. / We are tall.
Ti magasak vagytok. or just Magasak vagytok. / You are tall.
Ők magasak. / They are tall.
Again, because there is no conjugated verb in the 3rd person, we have to keep the subject.
5. Some more sentences with the adjectives mentioned above:
Te okos vagy. / You are smart.
Magdi szép lány. / Magdi is a beautiful girl.
Ti betegek vagytok. / You are sick.
Ők fiatalok. / They are young.
Én beteg vagyok. / I am sick.
6. Some more common nouns in Hungarian:
ház / house fa / tree asztal / table
autó / car táska / bag toll / pen

And the names of some basic colors as follows:
fehér / white piros / redzöld / green
sárga / yellow fekete / black kék / blue

The article 'the' corresponds the Hungarian 'a' or 'az'. The former is used if the following word starts with a consonant, while 'az' is used before a word that starts with a vowel. For example: 'a toll', or 'az asztal'.
So create as many sentences as you can from the table below:

A(z) ház

7. The indefinite article, 'egy' is used similarly as we use it in English.
Add some more new words to your vocabulary now:
ez / this, az / that, ezek / these, azok / those
and you can form new sentences
Ez egy toll. / This is a pen.
Azok házak. / Those are houses.
Ez egy sárga autó. / This is a yellow car.
Azok szép fák. / Those are beautiful trees.

Please, note that the subjects are in plural in the 2nd and 4th sentences, so they receive a -k ending. (házak, fák)