Phase 10 Tic Tac Toe Review Solving Systems

Phase 10 Tic Tac Toe Review Solving Systems of Equations/Inequalities (8 points) You can choose any three squares in a row to complete your review, but you must go through the center square. Solving Systems of Linear Equations Find the solution to each of the following systems by using the elimination method. �� 5 x− 2 y=− 13 � 2 x+ y=11 Left Side Assignment Create a 10 question quiz that engulfs 1. Writing systems of equation and inequalities from word problems 2. Solving systems of equations and inequalities. 3. Graphing systems of equations and inequalities Write an inequality and graph the solution. Toya is training for a triathlon and wants to bike and run on the same day. She has less than 3 hours to spend on her workouts. What inequality represents the time Toya has to bike and run? What is the graph of the solutions? Graph the solution to each inequality. 1. y > 2 x 2. y > – 3 x+1 3. y < –x+3 4. y ≤ (1/4)x− 4 5. 3 x+y ≥ 5 6. 2 x–y < 1 7. x > 4 Solving Systems of Inequalities The class president has asked you to make your delicious cupcakes for the next student council fund-raiser. With the fund-raiser fast approaching, you have asked your friends to help you out. Some friends will frost the cupcakes and others will decorate the cupcakes. At most, 5 friends have agreed to help. Write and graph an inequality that describes the number of friends who can be assigned to each task if there at most 5 friends available. (adapted from Walch TRB U 2 -139) Write an inequality and graph the solution. Solving Systems of Equations At an Italian bistro, the cost of 2 plates of spaghetti and 1 salad is $27. 50. The cost for 4 plates of spaghetti and 3 salads is $59. 50. Write and solve a system of equations to find the cost of 1 plate of spaghetti and 1 salad. Solving Systems of Equations Tickets to theater cost $12 for adults and $9 for children. A group of 15 adults and children are attending theater. If the total cost was $153, how many adults and how many children went? Write an inequality and graph the solution. Gisele runs a company that makes tablet computers. Each tablet requires an employee to assemble it and an employee to test it. There are 25 employees or fewer available, depending on who is out sick or on vacation. Write an inequality that represents the number of employees Gisele has available to do the work and then graph the solution. At Binh’s Greenhouse in early spring, there are many plants to repot. The plants have to be watered after they’re repotted. If it takes Binh 5 minutes to repot and 2 minutes to water each plant, and he has at most 2 hours before the greenhouse opens, what inequality represents the time Binh has to repot and water the plants before the greenhouse opens? What is the graph of the solutions?

(1, 9) Questions will vary x+y<3 Shade bottom. Show constraints in shading Locate teacher resource binder answer key x+y≤ 5 y≤–x+5 (slope intercept Form) See graph for accuracy. x+y≤ 25 Shade bottom 2 x + y = 27. 50 4 x + 3 y = 59. 50 (11. 5, 4. 5) �x+y=15 ; (6, 9); � 12 x+9 y=153 5 x+2 y≤ 120 Shade bottom