2 introduction to algebra
Answers
Algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. It includes everything from elementary equation solving to the study of abstractions such
as groups, rings, and fields.
Step-by-step explanation:
ᴀʟɢᴇʙʀᴀ ɪs ᴏɴᴇ ᴀᴍᴏɴɢ ᴛʜᴇ ᴏʟᴅᴇsᴛ ʙʀᴀɴᴄʜᴇs ɪɴ ᴛʜᴇ ʜɪsᴛᴏʀʏ ᴏғ ᴍᴀᴛʜᴇᴍᴀᴛɪᴄs ᴛʜᴀᴛ ᴅᴇᴀʟs ᴡɪᴛʜ ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴛʜᴇᴏʀʏ, ɢᴇᴏᴍᴇᴛʀʏ, ᴀɴᴅ ᴀɴᴀʟʏsɪs. ᴛʜᴇ ᴅᴇғɪɴɪᴛɪᴏɴ ᴏғ ᴀʟɢᴇʙʀᴀ sᴏᴍᴇᴛɪᴍᴇs sᴛᴀᴛᴇs ᴛʜᴀᴛ ᴛʜᴇ sᴛᴜᴅʏ ᴏғ ᴛʜᴇ ᴍᴀᴛʜᴇᴍᴀᴛɪᴄᴀʟ sʏᴍʙᴏʟs ᴀɴᴅ ᴛʜᴇ ʀᴜʟᴇs, ᴀɴᴅ ɪᴛ ɪɴᴠᴏʟᴠᴇs ᴛʜᴇ ᴍᴀɴɪᴘᴜʟᴀᴛɪᴏɴ ᴏғ ᴛʜᴇsᴇ ᴍᴀᴛʜᴇᴍᴀᴛɪᴄᴀʟ sʏᴍʙᴏʟs. ᴀʟɢᴇʙʀᴀ ɪɴᴄʟᴜᴅᴇs ᴀʟᴍᴏsᴛ ᴇᴠᴇʀʏᴛʜɪɴɢ ʀɪɢʜᴛ ғʀᴏᴍ sᴏʟᴠɪɴɢ ᴇʟᴇᴍᴇɴᴛᴀʀʏ ᴇǫᴜᴀᴛɪᴏɴs ᴛᴏ ᴛʜᴇ sᴛᴜᴅʏ ᴏғ ᴛʜᴇ ᴀʙsᴛʀᴀᴄᴛɪᴏɴs. ᴀʟɢᴇʙʀᴀ ᴇǫᴜᴀᴛɪᴏɴs ᴀʀᴇ ɪɴᴄʟᴜᴅᴇᴅ ɪɴ ᴍᴀɴʏ ᴄʜᴀᴘᴛᴇʀs ᴏғ ᴍᴀᴛʜs, ᴡʜɪᴄʜ sᴛᴜᴅᴇɴᴛ ᴡɪʟʟ ʟᴇᴀʀɴ ɪɴ ᴛʜᴇɪʀ ᴀᴄᴀᴅᴇᴍɪᴄs. ᴀʟsᴏ, ᴛʜᴇʀᴇ ᴀʀᴇ sᴇᴠᴇʀᴀʟ ғᴏʀᴍᴜʟᴀs ᴀɴᴅ ɪᴅᴇɴᴛɪᴛɪᴇs ᴘʀᴇsᴇɴᴛ ɪɴ ᴀʟɢᴇʙʀᴀ.
ᴡʜᴀᴛ ɪs ᴀʟɢᴇʙʀᴀ?
ᴀʟɢᴇʙʀᴀ ʜᴇʟᴘs ɪɴ sᴏʟᴠɪɴɢ ᴛʜᴇ ᴍᴀᴛʜᴇᴍᴀᴛɪᴄᴀʟ ᴇǫᴜᴀᴛɪᴏɴs ᴀɴᴅ ʜᴇʟᴘs ᴛᴏ ᴅᴇʀɪᴠᴇ ᴛʜᴇ ᴜɴᴋɴᴏᴡɴ ǫᴜᴀɴᴛɪᴛɪᴇs, ʟɪᴋᴇ ᴛʜᴇ ʙᴀɴᴋ ɪɴᴛᴇʀᴇsᴛ, ᴘʀᴏᴘᴏʀᴛɪᴏɴs, ᴘᴇʀᴄᴇɴᴛᴀɢᴇs. ᴛʜᴇ ᴠᴀʀɪᴀʙʟᴇs ɪɴ ᴛʜᴇ ᴀʟɢᴇʙʀᴀ ᴄᴀɴ ʙᴇ ᴜsᴇᴅ ᴛᴏ ʀᴇᴘʀᴇsᴇɴᴛ ᴛʜᴇ ᴜɴᴋɴᴏᴡɴ ǫᴜᴀɴᴛɪᴛɪᴇs ᴡʜɪᴄʜ ᴀʀᴇ ᴄᴏᴜᴘʟᴇᴅ ɪɴ sᴜᴄʜ ᴀ ᴡᴀʏ ᴛᴏ ʀᴇᴡʀɪᴛᴇ ᴛʜᴇ ᴇǫᴜᴀᴛɪᴏɴs.
ᴛʜᴇ ᴀʟɢᴇʙʀᴀɪᴄ ғᴏʀᴍᴜʟᴀs ᴀʀᴇ ᴜsᴇᴅ ɪɴ ᴏᴜʀ ᴅᴀɪʟʏ ʟɪғᴇ ᴛᴏ ғɪɴᴅ ᴛʜᴇ ᴅɪsᴛᴀɴᴄᴇ, ᴛʜᴇ ᴠᴏʟᴜᴍᴇ ᴏғ ᴄᴏɴᴛᴀɪɴᴇʀs, ᴀɴᴅ ᴛᴏ ғɪɢᴜʀᴇ ᴏᴜᴛ ᴛʜᴇ sᴀʟᴇs ᴘʀɪᴄᴇs ᴀs ᴀɴᴅ ᴡʜᴇɴ ɴᴇᴇᴅᴇᴅ. ᴀʟɢᴇʙʀᴀ ɪs ᴠᴇʀʏ ʜᴇʟᴘғᴜʟ ɪɴ sᴛᴀᴛɪɴɢ ᴀ ᴍᴀᴛʜᴇᴍᴀᴛɪᴄᴀʟ ᴇǫᴜᴀᴛɪᴏɴ ᴀɴᴅ ʀᴇʟᴀᴛɪᴏɴsʜɪᴘ ʙʏ ᴍᴀᴋɪɴɢ ᴜsᴇ ᴏғ ʟᴇᴛᴛᴇʀs ᴏʀ ᴏᴛʜᴇʀ sʏᴍʙᴏʟs ʀᴇᴘʀᴇsᴇɴᴛɪɴɢ ᴛʜᴇ ᴇɴᴛɪᴛɪᴇs. ᴛʜᴇ ᴜɴᴋɴᴏᴡɴ ǫᴜᴀɴᴛɪᴛɪᴇs ɪɴ ᴛʜᴇ ᴇǫᴜᴀᴛɪᴏɴ ᴄᴀɴ ʙᴇ sᴏʟᴠᴇᴅ ᴛʜʀᴏᴜɢʜ ᴀʟɢᴇʙʀᴀ.
sᴏᴍᴇ ᴏғ ᴛʜᴇ ᴍᴀɪɴ ᴛᴏᴘɪᴄs ᴄᴏᴍɪɴɢ ᴜɴᴅᴇʀ ᴀʟɢᴇʙʀᴀ ɪɴᴄʟᴜᴅᴇ ʙᴀsɪᴄs ᴏғ ᴀʟɢᴇʙʀᴀ, ᴇxᴘᴏɴᴇɴᴛs, sɪᴍᴘʟɪғɪᴄᴀᴛɪᴏɴ ᴏғ ᴀʟɢᴇʙʀᴀɪᴄ ᴇxᴘʀᴇssɪᴏɴs, ᴘᴏʟʏɴᴏᴍɪᴀʟs, ǫᴜᴀᴅʀᴀᴛɪᴄ ᴇǫᴜᴀᴛɪᴏɴs, etc.
hope it helps
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