Quadratics Factoring VS Solving Factors make up a multiplication problem The answers x= ( )( ) X= Process to find the factors Use factors to find the answers ax2 + bx + c= 0 it must = zero what is x when y is zero. The x-intercepts process when a=1 x2 + 6x + 8 =0 x2 + 9x + 14 =0 x2 + 10x + 24 =0 Practice #2 A Look at the graph below In the graph above f(4) = 1. Find the following values of the function. f(6) f(2) = (0) = f(5) = X For which values of x is this statement true? f(x) = 1HWPW TSCA TITLE VI COMPLIANT ATCM 93120 COMPLIES TO CALIFORNIA HOBBY LOBBY PHASE 2 0820 Name : System of Equations The solution to a system of equations is . An ordered pair is always written as (x,y). Regardless of what variable someone may use, the solution is an ordered pair(x,y). Therefore, regardless of what variable that may be written in a spot, they are talking about x and y. Example: 2m + 3n = 27 (m,5) What is m= to ( 6 1- ) m + n = 11 Solving system of equations Methods: substitution; elimination; multiplication and elimination Our focus will be on multiplication and elimination. However, you should google and watch = 2. videos on substitution method. Example: x + y = 15 multiply by 2 or 5 2x + 2y = 30 -3y =-6 2x + 5y = 36 keep as is 2x + 5y = 36 subtract the equations y=2 Substitute the 2 into the first equation x + 2 = 15 solve for x getting x = 13 solution (13,2) One of the biggest mistakes is switching the variables! Make sure you watch and identify the variables correctly. Practice x + y =11 What do we multiply by? Solution 5x + 7y = 63 Example: 2x + 5y =51 Multiply 1st equation by 3 6x + 15y = 153 subtract 7y = 63 3x + 4y = 45 Multiply 2nd equation by 2 6x + 8y = 90 y= 9 Substitute 9 into either equation and solve for x 2x + 45 = 51 2x = 6 x=3 solution (3,9) Practice: 5x + 4y = -30 Multiply the 1st equation by_ 3x - 9y = -18 Multiply the 2nd equation by_ Dy - solution (_L,_