The two earliest anonymous authors known to have contributed to the writing of the Book of Genesis are now known as the Yahwist and the Elohist.
The Yahwist (J Source) always used Yahweh (YHWH) as the name for an anthropomorphic God with human characteristics, who made promises and covenants with his chosen people. The source's main interests were the southern kingdom, Judah.
The Elohist (E Source) always used Elohim as the name for a more transcendent God who required obedience and was feared by his people. This source came from the northern kingdom of Israel. The name Elohim is the plural of El, or 'god' in Hebrew, but when used with a singular verb or in a singular context, always referred to the Elohist's national God.
Elohim (sing: el) is Hebrew for 'gods'. Elohim was also used by the biblical author now known as the 'Elohist', in the plural but in a singular context or with a singular verb, to mean the supreme God of Israel. The biblical author now known as the 'Yahwist' used Yahweh (YHWH or YHVH), but sometimes Yahweh Elohim as his name for God.
For more information, please see: http://christianity.answers.com/bible/the-book-of-genesis
That depends on which verse you are quoting, since (like the English word "power") Elohim has more than one meaning; and it can be singular as well as plural (like the English word "sheep"). Thus, sometimes it refers to God (Genesis 1:3), sometimes to judges (Exodus ch.22), sometimes to angels (Job 38:7). According to tradition, for example, the Elohim in Genesis 19:29 refers to God, which is why the verb in that verse (as in Genesis ch.1) is singular. In Exodus 22:8, Elohim refers to judges and correspondingly has a plural verb. The number of a verb (singular or plural) is a key to the usage of Elohim (to point out if it is referring to God or not).
The word 'elohim' literally translates to 'powerful ones' and is used in many contexts both in reference to people, angels, and HaShem (The Creator).
Elohim is the Hebrew word for God. Jewish tradition states that God is Eternal, and was not created.
Yad Elohim.
There are many Hebrew names for God. The most common are Adonai and Elohim.
Elohim noshem
with God = im Elohim (עם אלוקים)
Mighty God = Elohim adir (אלוקים אדיר)
"congregation of God" = kehillat elohim (קהילת אלוקים)
Elohim (אלוקים) is the Hebrew word for God. According to Jewish belief, God has always existed, and was never born.
Lord = Adonai (ה׳) God = Elohim (אלוקים)
God is with us = Elohim imanu (אלוקים עמנו)
God breathed = vayipach Elohim (וַיִּפַּח אֱלֹהִים)
dubar al yedei elohim.