Warm-UpDec. 8 1.Find the slope, x and y intercepts for the following. 5x+10y = 20 2.Solve. 4x+ 5 – 2x= 4(x + 5/4)

Methods of solving systems of equations Set up of the equations When the coefficients are large numbers or when both equations are in slope- intercept form Method Use graphing calculator

Methods of solving systems of equations Set up of the equations When x or y are isolated ex. y = 2x or x = 3y + 1 Method Use substitution

Methods of solving systems of equations Set up of the equations When the equations are in standard form and the x-terms or y-terms are opposites. Method Use elimination with addition.

Methods of solving systems of equations Set up of the equations When the x-terms or y-terms can be easily eliminated using multiplication. Method Use elimination with multiplication.

Methods of solving systems of equations Which method would be best to solve the following: y = x + 1 2x + 3y = 18 1.Graphing calculator 2.Substitution 3.Elimination with addition 4.Elimination with multiplication

Methods of solving systems of equations Which method would be best to solve the following: 2x + 4y = 6 -2x – 7y = -9 1.Graphing calculator 2.Substitution 3.Elimination with addition 4.Elimination with multiplication

Methods of solving systems of equations Which method would be best to solve the following: y = 14x – 29 y – 31x = 14 1.Graphing calculator 2.Substitution 3.Elimination with addition 4.Elimination with multiplication

Methods of solving systems of equations Which method would be best to solve the following: 8x + 2y = 6 4x – 3y = -9 1.Graphing calculator 2.Substitution 3.Elimination with addition 4.Elimination with multiplication

FINAL Assessment Question: Use the solution of the system below to find x – y. 4x – 2y = 11 3x – 4y = -6 A B. 0.1 C D

Classifying Solutions to Systems of Equations

Card Set A: Equations, Tables, Graphs P-12 1.Share the cards between you and spend a few minutes, individually, completing the cards so that each has an equation, a completed table of values and a graph. 2.Record on paper any calculations you do when completing the cards. Remember that you will need to explain your method to your partner. 3.Once you have had a go at filling in the cards on your own: Explain your work to your partner. Ask your partner to check each card. Make sure you both understand and agree on the answers. 1.When completing the graphs: Take care to plot points carefully. Make sure that the graph fills the grid in the same way as it does on Cards C1 and C3. Make sure you both understand and agree on the answers for every card.

Card Set B: Arrows P-13 1.You are going to link your completed cards from Card Set A with an arrow card. 2.Choose two of your completed cards and decide whether they have no common solutions, one common solution or infinitely many common solutions. Select the appropriate arrow and stick it on your poster between the two cards. 3.If the cards have one common solution, complete the arrow with the values of x and y where this solution occurs. 4.Now compare a third card and choose arrows that link it to the first two. Continue to add more cards in this way, making as many links between the cards as possible.

P-14