"a" (no accent) is the verb avoir conjugated in the present tense (third person singular). "à" (with a grave accent) is a preposition. To tell them apart, replace the word with "avait": if the sentence still works, it is "a" (the verb). If it does not, it is "à" (the preposition).
Replace with "avait". If it works, write "a". If not, write "à".
Examples
Il a faim.
Key word(s): a
"Il avait faim" works, so this is the verb avoir.
Il va à la maison.
Key word(s): à
"Il va avait la maison" does not work, so this is the preposition.
Elle a un chien.
Key word(s): a
"Elle avait un chien" works.
Il pense à toi.
Key word(s): à
"Il pense avait toi" does not work.
Mon frère a parlé à sa professeure.
Key word(s): a, à
"a parlé" = the verb avoir (avait parlé). "à sa professeure" = the preposition.
Common mistakes
Writing "il à faim" (using the preposition instead of the verb).
Writing "il va a la maison" (using the verb instead of the preposition).
Hesitating when "a" and "à" appear in the same sentence.
Test yourself
Elle ___ mangé une pomme.
"Elle avait mangé" works, so this is the verb.
Il est ___ Paris.
"Il est avait Paris" does not work, so this is the preposition.
On ___ pensé ___ tout.
"On avait pensé" (verb) + "à tout" (preposition).
Tips to remember
The "avait" trick works every time.
"à" often introduces a place, a recipient, or a complement.
"a" is always followed by a past participle or a complement of the verb avoir.
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