هذه مادة تعليمية للاختبار النهائي.

Here it is a full sentence: This is educational material.

• هذه stands on its own as this
• مادة تعليمية is the predicate, describing what this is

If you wanted one noun phrase meaning this educational material, you would normally say هذه المادة التعليمية, with الـ on both مادة and تعليمية.

Because مادة is a feminine singular noun, and هذه is the feminine singular form of this.

• هذا = this, masculine singular
• هذه = this, feminine singular

So even though مادة comes later in the sentence, هذه still agrees with it.

In Arabic, the verb to be is usually not stated in the present tense.

So Arabic says:

• هذه مادة تعليمية
• literally: this educational material
• naturally: This is educational material

This kind of sentence is often called a nominal sentence.

If you wanted the past tense, you would use a form of كان:

• كانت هذه مادة تعليمية = This was educational material

Because in Arabic, adjectives normally come after the noun they describe.

So:

• مادة تعليمية = material educational = educational material

This is the opposite of normal English word order, where the adjective usually comes first.

We know it is an adjective because it behaves like one:

• it comes after the noun
• it matches the noun in gender
• it matches the noun in definiteness

Here both words are feminine singular and indefinite:

• مادة = a material / material
• تعليمية = educational

So مادة تعليمية means educational material.

If it were a different construction, such as an iḍāfa noun relationship, the pattern would be different. For example, a phrase like مادة التعليم would mean something more like the material of education/teaching, not simply educational material.

Because they are doing different jobs in the sentence.

• مادة تعليمية is a description: educational material
• الاختبار النهائي refers to a specific thing: the final exam

In Arabic, adjectives match the noun in definiteness:

• اختبار نهائي = a final exam
• الاختبار النهائي = the final exam

So once الاختبار is definite, النهائي must also be definite.

للاختبار is made from:

• لِـ = for / to
• الاختبار = the exam / the test

Together they give:

• لِلاختبار / للاختبار = for the exam

In pronunciation, this is usually said as lil-ikhtibār.

So the phrase للاختبار النهائي means for the final exam.

Because النهائي is an adjective describing الاختبار.

In Arabic:

1. the noun comes first
2. the adjective comes after it
3. the adjective matches the noun in definiteness

So:

• الاختبار النهائي = the final exam

Both words take الـ because both are definite.

Because ن is a sun letter.

When الـ comes before a sun letter, the l sound of الـ is not pronounced. Instead, the following consonant is doubled in pronunciation.

So:

• written: النهائي
• pronounced: an-nihāʾī

The spelling stays the same, but the pronunciation changes.

The final ة is called tāʾ marbūṭa. It commonly marks feminine nouns and adjectives.

In pause, it is usually pronounced like -a:

• مادة = mādda
• تعليمية = taʿlīmiyya

But when full grammatical endings are pronounced, the t sound appears:

• مادةٌ = māddatun
• تعليميةٌ = taʿlīmiyyatun

A fully inflected version of the sentence would be approximately:

• هذه مادةٌ تعليميةٌ للاختبارِ النهائيِّ

In normal Arabic writing, these short vowels and case endings are usually omitted, which is why you normally see:

• هذه مادة تعليمية للاختبار النهائي