Rule 1: 1. The hamza is a strong radical
Conjugate a hamzated verb as if the hamza were any other consonant. أَكَلَ is فَعَلَ, so its perfect runs أَكَلَ، أَكَلَتْ، أَكَلْتَ، أَكَلْتُ like كَتَبَ; its imperfect is يَأْكُلُ with the vowel u, and its jussive يَأْكُلْ. سَأَلَ and قَرَأَ have a guttural, the hamza itself, as second or third radical, and therefore take fatḥa in the imperfect: يَسْأَلُ، يَقْرَأُ, like يَفْتَحُ. The active participle is فَاعِلٌ: سَائِلٌ, قَارِئٌ; the passive participle مَفْعُولٌ: مَسْؤُولٌ, مَقْرُوءٌ; the passive perfect فُعِلَ: سُئِلَ, قُرِئَ. Look at these examples and notice that only the shape of the hamza changes from word to word.
أَكَلَ الضُّيُوفُ الطَّعَامَ وَشَرِبُوا الْعَصِيرَ.
akala ḍ-ḍuyūfu ṭ-ṭaʿāma wa-sharibu l-ʿaṣīra
The guests ate the food and drank the juice.
أَكَلَ is conjugated like كَتَبَ.
سَأَلْتُ الطَّبَّاخَ عَنِ الْمِلْحِ فَأَجَابَ.
saʾaltu ṭ-ṭabbākha ʿani l-milḥi fa-ajāba
I asked the cook about the salt and he answered.
سَأَلْتُ like فَتَحْتُ: the hamza keeps its place and takes sukūn.
قَرَأَتِ الْبِنْتُ قَائِمَةَ الطَّعَامِ ثُمَّ بَدَأَتْ تَأْكُلُ.
qaraʾati l-bintu qāʾimata ṭ-ṭaʿāmi thumma badaʾat taʾkulu
The girl read the menu and then began to eat.
قَرَأَتْ، بَدَأَتْ: third-radical hamza with the feminine ending.
سُئِلَ الرَّجُلُ فَلَمْ يُجِبْ، فَقُرِئَ السُّؤَالُ مَرَّةً ثَانِيَةً.
suʾila r-rajulu fa-lam yujib, fa-quriʾa s-suʾālu marratan thāniyatan
The man was asked and did not answer, so the question was read a second time.
Passive فُعِلَ: سُئِلَ، قُرِئَ. The hamza sits on ي because of the kasra.
اَلْكَأْسُ مَمْلُوءَةٌ وَالْمَائِدَةُ مَمْدُودَةٌ.
al-kaʾsu mamlūʾatun wa-l-māʾidatu mamdūdatun
The glass is full and the table is laid.
Passive participle مَمْلُوءٌ: the hamza after the long ū is written on the line.