Simultaneous Equation Project

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Simultaneous Equation Project

  1. 1. Real life simultaneous equations problems Alaa Sharfi 1/27/2012 Algebra 2 Ms. Rosanna
  2. 2. Links to websites that explain how to solve simultaneous equations by <ul><li>Graphing: http://www.bbc.co.uk/schools/gcsebitesize/maths/algebra/simultaneoushirev2.shtml </li></ul><ul><li>Elimination: http://www.teacherschoice.com.au/maths_library/algebra/alg_10.htm </li></ul><ul><li>Substitution: http://www.teacherschoice.com.au/Maths_Library/Algebra/Alg_9.htm </li></ul>
  3. 3. Videos to explain simultaneous equations <ul><li>Elimination: http://www.youtube.com/watch?v=XM7Q4Oj5OTc </li></ul><ul><li>Substitution: http://www.youtube.com/watch?v=8ockWpx2KKI </li></ul><ul><li>Graphing: http://www.youtube.com/watch?v=cqBwozd8nu8 </li></ul>
  4. 4. Real life s imultaneous equations problem solved by Elimination <ul><li>7 pizzas and 5 chicken sandwiches cost $155. 10 pizzas and 8 chicken sandwiches cost $230. Find the cost of one pizza and one chicken sandwich. P= Pizza & S= chicken sandwich. </li></ul><ul><li>7p+5s= 155 </li></ul><ul><li>10p+ 8s= 230 </li></ul>
  5. 5. <ul><li>Multiply to get similar variables: </li></ul><ul><li>8 X (7p+ 5s= 155) = 56p+ 40s = 1240 </li></ul><ul><li>5 X(10p+8s= 230)= 50p + 40s = 1150 </li></ul><ul><li>Since both s variables are positive we subtract the two equations. </li></ul><ul><li>56p + 40s = 1240 </li></ul><ul><li>- 50p + 40s = 1150 </li></ul><ul><li>6 = 90 = 15 </li></ul><ul><li>6 6 </li></ul><ul><li>P=15 </li></ul>
  6. 7. Real life s imultaneous equations problem solved by substitution
  7. 8. Solve the following question <ul><li>You are looking to rent an apartment. One costs $800 a month and has a $1000 deposit and the other costs $850 but has an $850 deposit. How long do you need to stay there before the first one is a better deal? </li></ul>

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