Twoja opinia jest dla mnie ważna.

Your opinion is important to me.

Breakdown of Twoja opinia jest dla mnie ważna.

• być: to be
• twój: your
• ważny: important
• dla: for

Questions & Answers about Twoja opinia jest dla mnie ważna.

What does each word in Twoja opinia jest dla mnie ważna mean?

Word by word:

• Twoja = your
• opinia = opinion
• jest = is
• dla = for
• mnie = me
• ważna = important

So the structure is very close to English: Your opinion is important to/for me.

Why is it twoja and not twój?

Because opinia is a feminine noun, and Polish adjectives and possessive words must agree with the noun they describe.

Here, twoja matches opinia:

• masculine: twój
• feminine: twoja
• neuter: twoje

Since opinia is feminine, you say twoja opinia.

Why is it ważna and not ważny?

For the same reason: ważna has to agree with opinia, which is feminine.

Compare:

• ważny = masculine
• ważna = feminine
• ważne = neuter

So:

• ważna książka = an important book
• ważny problem = an important problem
• ważne pytanie = an important question

In your sentence, opinia is feminine, so ważna is correct.