Každý jednotlivý bod ve hře je důležitý.

They are similar, but using both adds emphasis.

• každý = every / each
• jednotlivý = individual / separate / single

So každý jednotlivý bod means something like:

• every single point
• each individual point

You could say just Každý bod ve hře je důležitý, and that would still be correct. Adding jednotlivý makes it stronger and more emphatic.

Because they all agree with bod.

In Czech, adjectives must agree with the noun they describe in:

• gender
• number
• case

Here:

• bod is masculine inanimate
• it is singular
• it is in the nominative

So the adjectives also appear in the same form:

• každý
• jednotlivý
• důležitý

This is very typical in Czech. English does not do this, but Czech does it constantly.

Because bod is the subject of the sentence.

The sentence structure is:

• Každý jednotlivý bod ve hře = the subject
• je = is
• důležitý = the predicate adjective

Since the subject is in the nominative, bod is nominative singular.

There are two things going on here:

1. v requires the locative case when it means in
2. ve is a pronunciation variant of v

So:

• dictionary form: hra = game
• locative singular: hře
• after the preposition: ve hře = in the game

Why ve instead of v?
Czech often uses ve instead of v when the following sound combination would be awkward to pronounce. ve hře sounds smoother than v hře.

So ve hře is the natural form here.

Because hra belongs to a common feminine noun pattern, and its locative singular changes to hře.

Some forms of hra are:

• nominative: hra
• genitive: hry
• dative: hře
• accusative: hru
• locative: hře
• instrumental: hrou

After v / ve meaning in, Czech normally uses the locative, so:

• ve hře = in the game

Because the subject is third person singular:

• bod = point
• one point = singular
• so the verb must be je = is

Compare:

• Bod je důležitý. = The point is important.
• Body jsou důležité. = The points are important.

So je matches the singular subject.

Because after být (to be), Czech adjectives still agree with the subject.

Here, důležitý describes bod, even though it comes after je.

So:

• bod = masculine singular nominative
• therefore důležitý must also be masculine singular nominative

This is why you get:

• bod je důležitý
• hra je důležitá
• vítězství je důležité

The ending changes depending on what is being described.

The basic word order here is very natural, but Czech word order is fairly flexible.

The sentence as given:

• Každý jednotlivý bod ve hře je důležitý.

is a neutral, standard way to say it.

You could also move things around for emphasis, for example:

• Ve hře je každý jednotlivý bod důležitý.

That might put more focus on in the game.

But for a learner, the original order is the safest and most natural version.

Yes.

• Každý bod ve hře je důležitý. = Every point in the game is important.
• Každý jednotlivý bod ve hře je důležitý. = Every single point in the game is important.

So jednotlivý is optional here. It adds emphasis, not a completely new meaning.

In this sentence, bod means point, as in scoring or a unit in a game.

Czech bod can also mean other things depending on context, such as:

• a point in a list
• a dot
• a point in space
• an item

But with ve hře it is naturally understood as a point in the game or in the scoring.

Každý is the correct choice here.

• každý bod = every point / each point
• všechny body = all the points

So the difference is roughly:

• Každý bod je důležitý. = Each point is important.
• Všechny body jsou důležité. = All the points are important.

Because the sentence talks about each point individually, každý is exactly right.