## Thursday, 28 February 2013

### Algebra - Collaboration research work ( Lynette, Xue Qin, Kai Cheng, Yu Hin)

He was a Persian mathematician,astronomer and geographer during the Abbasid Empire, a scholar in the House of Wisdom in Baghdad.        His contributions; Algebra, Arithmetic, Astronomy, Trigonometry, Geography, Jewish Calendar

Origin Of Algebra: The origins of algebra can thus be traced back to ancient Babylonian mathematicians roughly four thousand years ago. The word "algebra" is derived from the Arabic word Al-Jabr, and this comes from the treatise written in 820 by the medieval Persian mathematician, Muhammad ibn Mūsā al-Khwārizmī

Application:
1)    When filling your car up with gas you can use a form of algebra. Lets say you only have \$20.00 to spend on gas today and gas is \$3.50 a gallon. How many gallons could you buy?
Let x = # of gallons of gas
3.50x=20.00 x=5.71 gallons
2)     Lets say you need to buy a NEW XBox 360. You have \$800 to spend on everything. You know a new system costs \$400 and extra controller \$40. Assuming a game costs \$60 how many games could you get?
Let x= the number of Games
\$800 = \$400 + \$40 +\$60x 800=460+60x
360=60x
x = 6 Games

3)     For the last one lets say you are all grown up now and have to move across country for a new job. Lets use Buffalo, NY to Sacramento, CA which is roughly 2500 miles of driving. How much money do you need to save for gas if the national average is \$3.23/gallon.
Let x = amount of money you need to save
2500 = 3.23x x=\$773.99