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A Clone of Your Test Section 1: Matrix Arithmetic (No Calculator) + - 3 -2 -1 * * (2 = )* = * * = = * * * R = = Buyers This Year N = = = F Brand-Switching Matrix N R F If the first matrix represents the number of brand owners this year, then how many customers will buy Fila 2 years from now? Section 2: Find the Equation for The Parabola (No Calculator) What is the equation for the parabola that passes through the ordered pairs (-1, 12), (0, 3), and (3, 0) ? What is the equation for the parabola that passes through the ordered pairs (-1, 7), (1, -1), and (2, -14) ? Section 3: Solve the System of Equation Using any Method If there are no solutions or infinitely many solutions you must say which. x – y = 11 2x + y = 19 5x + 4y = -30 3x – 9y = -18 3x – 2y = 2 5x – 5y = 10 2x + 8y = 6 -5x -20y = -15 -14 = -20y – 7x 10y + 4 = 2x Section 4: Solve Using the Substitution Method (You will not receive full credit if you don’t show substitution method work.) y = 30 12x – 2y = 0 x = -4 -3x – 2y = 0 3x – y = 8 2x + 5y = 28 Section 5: Elimination Method (Show Your Work) 3x + y = 13 x – 5y = 15 6x – y = 14 2x + y = 12 3x – 4y = 22 2x + 5y = 7 Section 6: Essay Explain in detail, using words and mathematical symbols, why the matrix method for solving systems of equations works. Section 7: Graphing Systems of Linear Inequalities Graph the following systems of Linear Inequalities (No Calculator) 3x + y ≥ -3 x + 2y ≤ 4 4x + 3y > -6 X – 3y ≤ -9