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Name: ______________________________ Instructor Ben Gregersen July 12, 2010 Math 0308.12102 Test 4 Part I: For each equation, determine whether the given ordered pair is a solution. Show all work. (2 points each) 4x + y = 9; (3, -3) 6x – 13y – 8 = 0; (3, 9) y = -4; (1, -4) [Yes] [No] [Yes] [No] [Yes] [No] Part II: Find solutions for each equation using the indicated values for x or y. Show all work. (8 points each) 4x – 5y = 10 3 5 + = 4 2 (5, _____), (0, _____), (_____, 0), (_____, -6) 7 8 , ______ , (2, _____), (_____, 6), _____, 4 3 Name: ______________________________ Instructor Ben Gregersen July 12, 2010 Part III: For each equation, solve for y and complete the table. (6 points each) 4x + 2y = 8 2x – 3y = 6 4y – 6 = 0 x y x y x -1 -3 -10 0 0 -2 1 2 3 2 7 12 Part IV: Identify the coordinates of each point on the graph. (1 point each) A 4 B B E 2 D C D A C -5 5 G E F -2 G -4 H F H y Name: ______________________________ Instructor Ben Gregersen July 12, 2010 Part V: Plot and label each point on the graph provided. (1 point each) A (4, 2) B (5, 0) C (-2, 3.5) D (3¾, -2½) E (0, 3) F (-2.25, 0) G The Origin H (0, -1) 4 2 -5 5 -2 -4 Part VI: Plot each line on the graph provided. (3 points each) y = -½x + 1 3x – 8y = -24 -10 8 8 6 6 4 4 2 2 -5 5 10 -10 -5 5 -2 -2 -4 -4 -6 -6 -8 -8 10 Name: ______________________________ Instructor Ben Gregersen July 12, 2010 Part VII: Use the Graphing Method to find the solution to each system of equations. Circle your final answer. (4 points each) = 2 5 =6 = 5 = + 7 8 -10 8 6 6 4 4 2 2 -5 5 10 -10 -5 5 -2 -2 -4 -4 -6 -6 -8 -8 Part VIII: Use the Substitution Method to find the solution to each system of equations. Show all work. Circle your final answer. (4 points each) 2 + 3 = 10 = 2 + 3 = 4 ! 2 3 = 12 10 Name: ______________________________ Instructor Ben Gregersen July 12, 2010 Part IX: Use the Elimination Method to find the solution to each system of equations. Show all work. Circle your final answer. (4 points each) 2 8 = 15 9 + 8 = 6 10 2 = 14 15 3 = 21