Cookies Quiz 2 Practice

Transcription

1 Cookies Quiz Practice Page This quiz will cover graphing linear inequalities, graphing a system of linear inequalities, and writing the constraints for a given situation. To help you prepare for the quiz, you can use the problems below and review the homework assignments listed. Graphing linear inequalities Homework to review: - Graphing Linear Inequalities WS - p.- Picturing Cookies Part Practice problems: - page of this document (answers are on page 6) Graphing Systems of Linear Inequalities Homework to review: - p.0 Picturing Cookies Part - p. Feasible Diets - p. Picturing Pictures - Graphing Systems of Linear Inequalities WS Practice problems: - pages - of this document (answers are on pages 7-8) Writing constraints Homework to review: - writing the constraints for the Cookies problem - p.9 Healthy Animals - Graphing Systems of Linear Inequalities WS #7-8 Practice problems: - page of this document (answers are on page 9)

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3 -- k j0ba mkhudteac BSBoAfJtlwvaRrxe FLALsCO.S W vajlvlr NraiNgWhpt8ss ErveIsDeNrHvAeidv.Y B jmhadez CwgintAh RItnAfIiQnijtdeH taflvghesbxria H.h Worksheet by Kuta Software LLC ) x x + y 9 6) x y < 9 x + y > 6 Page 0 0 7) x + y > x y > 8) x + y x + y 0 0

4 -- y P0Jdw PKTupt9aj BSzoqfytZwOareeD TLkLSCI.m y AAkll RrriugPhItDsu jrfe8spezrzvlecd.b L FMjaXdeE QwihtrhL yibnfzidnictfea laflggre6boryas Ik.b Worksheet by Kuta Software LLC 9) x + y > 6 x y 9 0) y < x + y Page 0 0 ) x + y x + y ) x + y x + y 0 0 Critical thinking questions: ) State one solution to the system y < x y 0 x ) Write a system of inequalities whose solution is the set of all points in quadrant I not including the axes.

5 Page Writing Constraints. The drama club is selling tickets to its play. An adult ticket costs $ and a student ticket costs $. The auditorium will seat 00 ticket-holders. The drama club wants to collect at least $60 from ticket sales. Write the constraints for this situation.. A painter has exactly units of yellow dye and units of green dye. He plans to mix as many gallons as possible of color A and color B. Each gallon of color A requires units of yellow dye and unit of green dye. Each gallon of color B requires unit of yellow dye and 6 units of green dye. Write the constraints for this situation.. A glass blower can form 8 simple vases or elaborate vases in an hour. In a work shift of no more than 8 hours, the worker must form at least 0 vases. Write the constraints for this situation.. Machine A can produce 0 steering wheels per hour at a cost of $6 per hour. Machine B can produce 0 steering wheels per hour at a cost of $ per hour. At least 60 steering wheels must be made in each 8-hour shift. The company only has $00 to spend producing steering wheels. Write the constraints for this situation.

6 -- W 0q0878 VK8uytah dskoxfttnwcalrceb ALaL7Cc.h 8 AlVlA Cr0ixgGhmtAsq r0elscevruvzegdv. P TMZahdwea 0wfiCtdhd IIencfbibnDiFtceX RAIlBgaeIbRrWaN LM.7 Worksheet by Kuta Software LLC 7) xy 8) xy Page 6 9) y 0) xy ) xy ) xy Critical thinking questions: ) Name one particular solution to # ) Can you write a linear inequality whose solution Any point in the shaded region or boundary. Ex: (, ) contains only points with positive x-values and positive y-values? Why or why not? No. No line can be in only the st quadrant. Create your own worksheets like this one with Infinite Algebra. Free trial available at KutaSoftware.com

7 -- g W0Pq RKWuOtVam DSqolfVtcwJaWrken BLGLCC.9 P warlvlj TrjiGg9hltVsb IrUeNsOefr XvleMdi.7 v wmlaadrei ewkitlhq AIHnmfSixniiDtLes iaklfgjecbbrmat hq.z Worksheet by Kuta Software LLC ) x x + y 9 6) x y < 9 x + y > 6 Page ) x + y > x y > 8) x + y x + y 0 0

8 -- j Hg0PsD Knustaa wsso7fxtawmayrje GLkLVCF.i K CAblelN sryigrhutrsq 8r GeRseejrXvMemdh.Q p amxaidceh GwBigthe IynUfeimneirtMeC ranl7gjexbbreau Qn.O Worksheet by Kuta Software LLC 9) x + y > 6 x y 9 0) y < x + y Page ) x + y x + y ) x + y x + y 0 0 Critical thinking questions: ) State one solution to the system y < x y 0 x Many solutions. Ex: (0, 0) or (, 8) ) Write a system of inequalities whose solution is the set of all points in quadrant I not including the axes. x > 0, y > 0 Create your own worksheets like this one with Infinite Algebra. Free trial available at KutaSoftware.com

9 Page 9 Writing Constraints - Answers. The drama club is selling tickets to its play. An adult ticket costs $ and a student ticket costs $. The auditorium will seat 00 ticket-holders. The drama club wants to collect at least $60 from ticket sales. Write the constraints for this situation. a = the number of adult tickets sold s = the number of student tickets sold as60 as00 a 0 s 0. A painter has exactly units of yellow dye and units of green dye. He plans to mix gallons of color A and color B. Each gallon of color A requires units of yellow dye and unit of green dye. Each gallon of color B requires unit of yellow dye and 6 units of green dye. Write the constraints for this situation. A = number of gallons of color A B = number of gallons of color B AB A6B A 0 B 0. A glass blower can form 8 simple vases or elaborate vases in an hour. In a work shift of no more than 8 hours, the worker must form at least 0 vases. Write the constraints for this situation. s = number of hours spent forming simple vases e = number of hours spent forming elaborate vases se8 8se0 s 0 e 0. Machine A can produce 0 steering wheels per hour at a cost of $6 per hour. Machine B can produce 0 steering wheels per hour at a cost of $ per hour. At least 60 steering wheels must be made in each 8-hour shift. The company only has $00 to spend producing steering wheels. Write the constraints for this situation. A = number of hours machine A works B = number of hours machine B works 0A0B60 6AB00 A 0 B 0