ࡱ> $& !"# lbjbj -tS,/L{{{{%%%,,,,,,,-N0,i%\#%%%,{{ n,&&&%8{{,&%,&&V)@*{aI`H&) +,0,)00&0*0*&%%%,,&%%%,%%%%0%%%%%%%%% : Name Class Date Linear Inequalities 6-5 PracticeForm G Graph each linear inequality. 1. x e" (42. y < 23. 3x ( y ( 64. (4x + 5y < (35. 3x + 2y > 66. y < x7. 3x ( 5y > 68. EMBED Equation.DSMT49. EMBED Equation.DSMT4 10. Error Analysis A student graphed y d" (4x + 3 as shown. Describe and correct the student s error. 11. Writing How do you decide which half-plane to shade when graphing an inequality? Explain. Prentice Hall Gold Algebra 1 " Teaching Resources Copyright by Pearson Education, Inc., or its affiliates. All Rights Reserved. 43 Name Class Date  6-5  Linear Inequalities Practice (continued)  Form G Determine whether the ordered pair is a solution of the linear inequality. 12. 7x + 2y > (5, ((1, 1)13. x ( y d" 3, (2, (1)14. y + 2x > 5, (4, 1)15. x + 4y d" (2, ((8, (2)16. y < x + 4, ((9, (5)17. y < 3x + 2, (3, 10)18. EMBED Equation.DSMT419. 0.3x ( 2.4y > 0.9, (8, 0.5)Write an inequality that represents each graph. 20.  21. 22. You and some friends have $30. You want to order large pizzas (p) that are $9 each and drinks (d) that cost $1 each. Write and graph an inequality that shows how many pizzas and drinks can you order.? 23. Tickets to a play cost $5 at the door and $4 in advance. The theatre club wants to raise at least $400 from the play. Write and graph an inequality for the number of tickets the theatre club needs to sell. If the club sells 40 tickets in advance, how many do they need to sell at the door to reach their goal? 24. Reasoning Two students did a problem as above, but one used x for the first variable and y for the second variable and the other student used x for the second variable and y for the first variable. How did their answers differ and which one, if either, was incorrect? Prentice Hall Gold Algebra 1 Teaching Resources Copyright by Pearson Education, Inc., or its affiliates. All Rights Reserved. 44 Name Class Date  Systems of Linear Inequalities 6-6  Practice Form G Solve each system of inequalities by graphing. 1. 3x + y d" 12. 5x ( y d" 13. 4x + 3y d" 1x ( y d" 3x + 3y d" (22x ( y d" 2 Writing What is the difference between the solution of a system of linear inequalities and the solution of a system of linear equations? Explain. Open-Ended When can you say that there is no solution for a system of linear inequalities? Explain your answer and show with a system and graph. 6. Error Analysis A student graphs the system below. 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(0, 1);8. ( 2, 3);9. (1, 4);1 ( x e" 3y2x + 3y > 22x + y > 33y ( 1 > 2x3x + 5y > 1 3x ( y d" 5Prentice Hall Gold Algebra 1 " Teaching Resources Copyright by Pearson Education, Inc., or its affiliates. All Rights Reserved. 53 Name Class Date  6-6  Systems of Linear Inequalities Practice (continued) Form G Mark is a student, and he can work for at most 20 hours a week. He needs to earn at least $75 to cover his weekly expenses. His dog-walking job pays $5 per hour and his job as a car wash attendant pays $4 per hour. Write a system of inequalities to model the situation, and graph the inequalities. Britney wants to bake at most 10 loaves of bread for a bake sale. She wants to make banana bread that sells for $1.25 each and nut bread that sells for $1.50 each and make at least $24 in sales. Write a system of inequalities for the given situation and graph the inequalities. 12. Write a system of inequalities for the following graph. Solve each system of inequalities by graphing. 13. 5x + 7y > (614. x + 4y ( 2 e" 0x + 3y < (12x ( y + 1 > 2 15. EMBED Equation.DSMT4 3x + y > 2 Prentice Hall Gold Algebra 1 " Teaching Resources Copyright by Pearson Education, Inc., or its affiliates. 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