In which quadrant do these two lines intersect?

1. In which quadrant do these two lines intersect? x + y = 2 and 3x - y = -2 A.) I B.) II C.) III D.) IV E.) On an axis F.) They don't intersect

2. In which quadrant do these two lines intersect? x + 2y = 5 and 6y = x - 12 A.) I B.) II C.) III D.) IV E.) On an axis F.) They don't intersect

3. F T How Many Statements are True? A dependent system has at least one solution. Using the elimination method, if both variables "drop out" leaving 0 = 0, then the system has no solution. The substitutionmethod requires that we solve one of the equations for a variable. (3, -5) is a solution to the system x = 3 and y + x = -2. A consistent system has no solution. A.) 0 B.) 1 C.) 2 D.) 3 E.) 4 F.) 5

4. -1 2 C.) y = x - 3 The teacher wants to demonstrate an inconsistent system. If the graph comes from the first equation, which second equation would make the system inconsistent? A.) 2x + y = 1 B.) 2x + y = 2 E.) None of these D.) 3x - y = 1

5. 1 2 A.) y = x - 1 The teacher wants to demonstrate a dependent system. If the graph comes from the first equation, which second equation would make the system dependent? B.) x = 2y + 3 C.) 6y - 3x = 9 D.) y = - 2x + 2 E.) None of these

6. Which system of equations is shown solved by graphing in the grid below? A.) 3x + 2y = 6 x + 2y = -2 B.) x + y = 5 y = -2x -1 C.) x + 2 = -2y x + y = 5 D.) 3x - y = 8 3y + x = 5 E.) None of these

7. Which system of equations is shown solved by graphing in the grid? A.) 3y + x = 5 2x - y = 3 B.) 7y - x = 13 2y = x E.) None of these C.) 4y - x = 2 y = -x + 1 D.) 3y = 5 - x x + y = 3

8. While solving a system of equations by graphing, a study group spilled coffee on their paper. What is the solution to the system of equations? x y x y -2 -1 0 1 2 -2 -1 0 1 2 -9 -7 -5 -3 -1 61 58 55 52 49 A.) (9, 13) B.) (13, 16) C.) (11, 17) D.) (14, 23) E.) (12, 19) F.) None of these

9. Solve the system of equations using the Substitution Method. x - y = 6 x + y = -2 Which of the following equations could be correctly included in the student's work? A.) y + 6 + y = -2 B.) x + x - 6 = -2 C.) -2 - y - y = 6 D.) x - 2 - x = 6 E.) y - 6 + y = -2 F.) None of these

10. Solve the system of equations using the Elimination Method. EQ. 1 3y + 4x = -2 8x - 2y = 12 EQ. 2 assume "multiply" means multiply every term on both sides of the equation Which of the following processes is correct? A.) multiply EQ. 1 by -3 multiply EQ. 2 by -8 B.) multiply EQ. 1 by -2 C.) multiply EQ. 2 by 2 D.) multiply EQ. 1 by 3 mulitply EQ. 2 by 2 E.) multiply EQ. 1 by 4 multiply EQ. 2 by -2 F.) None of these

11. x - 2y = -3 4y - 2x = 6 4x + 6y = 12 6x + 9y = 12 x + y = -1 4x - 3y = 24 Which System of Equations does NOT have a solution? II I III A.) I B.) II C.) III D.) 1, II E.) I, III F.) II, III

12. I II x = 3y + 4 2x - 6y = 8 x = 3y - 4 -5x + 15y = 6 y = 2x + 3 4x - 2y = -6 III Which System of Equations has an infinite number of solutions? A.) I B.) II C.) III D.) 1, II E.) I, III F.) II, III

13. 5x + y = -7 8 = y + x The solution to the system of equations is (-3, - 4) Pick the winning hand. A.) B.) 2 -2 C.) -2 4 -4 7 -9 D.) E.) 2 F.) All Losers! 4 -4

14. x - 5y = -9 3x+ y = -2 The solution to the system of equations is (-1, 1/5) Pick the winning hand. 1 5 B.) A.) -1 C.) 8 5 10 -10 D.) E.) 8 F.) All Losers! 5 10 5

15. A numismatist (coin-collector) collects only “state” quarters and “wheat” pennies. His collection of 110 coins is worth $13.10 at face value but the market value is $1,340. How many “state” quarters and “wheat” pennies does he have in his collection? Which system of equations best represents this problem? B.) x = quarters y = pennies x + y = 110 .1 x + .25y = 13.1 A.) x = pennies y=quarters x + y = 13.10 .01x + .25y = 1340 C.) x = quarters y = pennies .25x + .10y = 13.10 x + y = 110 (.15) D.) x = pennies y = quarters x + y = 110 .01x + .25y = 13.1 E.) x = pennies y = quarters x + y = 110 x + 25y = 1340 F.) None of these

16. Trading in a box of 46 DVD's and CD's at Bookguy's, I got a $210 "A" trade credit. I received $7 for each DVD and $3 for each CD. How many DVDs did I trade? Which system of equations best represents this problem? B.) x = CD y = DVD x+ y = 210 3x + 7y = 46 C.) x = CD y = DVD y = 46 - x 7x + 3y = 210 A.) x = DVD y = CD x + y = 46 3x + 7y = 210 D.) x = CD y = DVD x = 46 - y 3x + y = 210 E.) x = DVD y= CD 3x + 7y = 210 x - y = 46 F.) None of these

17. The Acme Rocket Company sent Wile E. Coyote his supplies for jet fuel. He has solutions of 12% jet fuel and 20% jet fuel. How much of each must he use to get 4 liters of 15% jet fuel? Assume that x and y are in liters. Which system of equations best represents this problem? A.) x = 15% y = 12% x + y = 4 .15x + .12y = 20 B.) x = 12% y= 20% .12x + .2y = 4(.15) x + y = 4 E.) x = 20% y = 12% x + y = 4(.15) .2x + .12y = .60 C.) x = 12% y = 20% .12x + .20y = 15 x + y = 4 D.) x = 20% y = 12% x + y = .15 .2x + 1.2y = 4 F.) None of these

18. The recommended amount of total fat in the average adult's diet is 65 grams per day. A starving student orders one hamburger and two large fries for lunch which exceeds the recommended daily amount by 14 grams of fat. If he had ordered two hamburgers and one large fry he would have been under the recommended amount by 7 grams of fat. How many grams of fat are in the hamburger? in the large fries? Let x = number of hamburgers and y = number large fries orders. Which system of equations best represents this problem? A.) x + 2y = 14 B.) 2y + x = 7 C.) 2y + x = 79 2x + y = 7 2x + y = 14 2x + 2y = 65 D.) 2y + x = 58 E.) y + 2x = 58 F.) None of these y + 2x = 79 x + 2y = 79