Study Guide for Exam 4

Transcription

1 Math A Intermediate Algebra Fall 0 Stud Guide for Eam Eam is scheduled for Thursda, October th. You ma use a " " note card (both sides) and a scientific calculator. You are epected to know (or have written on our note card) an formulas ou ma need. Think about an formulas ou needed for homework. For eample: d = rt, quantit*price per item = value; etc... *Note: You must solve using the indicated method to receive full credit. For Eam ou will need to be able to:. Solve a sstem of linear equations graphicall. This includes sstems that have one unique solution, no solution, or an infinite number of solutions.. Tpes of Sstems of Equations Consistent Inconsistent Dependent A sstem that has at least one solution A sstem that is not consistent (has no solutions) A sstem that has infinitel man solutions Independent A sstem that is not dependent (has one or no solutions). Solve a sstem and a sstem of linear equations b the substitution method. This includes sstems that have one unique solution, no solution, or an infinite number of solutions.. &.. Solve a sstem and a sstem of linear equations b the addition method. This includes sstems that have one unique solution, no solution, or an infinite number of solutions.. &.. Solve application problems involving and sstems of linear equations. Man of the application problems ou see here are repeats of Chapter problems, ecept ou are using two variables to solve the problem instead of one variable. I will not provide an formulas or charts so be sure to write an formulas/charts ou needed for HW on our inde card... Solve sstems of linear inequalities b graphing each inequalit and finding which region satisfies both inequalities... Solve sstems of linear inequalities b graphing that involve absolute value.. Practice Problems The answer to all the problems listed below, even and odd, are in the back of the book. For those of ou who have the Chapter Test Prep Video cd that came with the book, ou can use it to see someone solving each of the problems in the Chapter Tests. If ou don't have it, it is available at both tutoring centers (ILC, Watsonville; MLC, Aptos). Make sure to: a) Define the variables used. b) Write a sstem of equations. c) Solve the sstem. d) Answer the question. Again, no formulas provided b me. Write down an formulas ou needed for homework on our inde card.

2 Intermediate Algebra Chapter Eam Review Name Solve the following linear sstem b graphing.. Solve the following linear sstem b graphing.. Solve the following linear sstems b substitution

3 Solve the following linear sstems b elimination

4 Solve the following linear sstems b the method of our choice...

5 . Sa ou sold boes of peanut butter cookies for $.0 and boes of chocolate chip cookies for $.. One da ou sold 7 boes and made $. How man boes of each did ou sell?. The other da I went to Staples to bu some office supplies. I bought pens and binders, which together cost me $9.7. M friend bought of the same pens and of the same binders, and it cost her $9.00. What is the cost for a single binder and the cost for a single pen?. A rowing team, while practicing, rowed an average of 7.9 miles per hour with the current and 0.7 miles per hour against the current. Determine the team s rowing speed in still water and the speed of the current.

6 . You invested $8000 in two funds paing % and % annual interest. At the end of the ear, the interest from the % investment eceeded the interest from the % investment b $8. How much mone was invested at each rate? 7. The manager of a gardening center needs to mi a plant food that is % nitrogen with one that is 8% nitrogen to obtain 0 gallons of a plant food that is % nitrogen. How man gallons of each of the plant foods must be used? 8. A compan that produces and sells radios has an annual cost of producing radios at $0,000 with a $0 production cost for each radio produced. The annual cost for producing the radios, C(), is the function C ( ) , where is the number of radios produced. The annual revenue of selling the radios is $0 for each radio sold. The annual revenue, R(), is the function R( ) 0, where is the number radios sold. Solve the sstem of equations to determine the number of radios that must be produced and sold to break even. What will be the cost and revenue for producing and selling that man radios?

7 9. Three kinds of tickets for a Sogg Bottom Bos concert are available: up-front, main-floor, and balcon. The most epensive tickets, the up-front tickets, are twice as epensive as balcon tickets. Balcon tickets are $0 less than main-floor tickets and $0 less than up-front tickets. Determine the price of each kind of ticket? 0. The largest angle of a triangle has a measure that is 0 less than three times the measure of the second smallest angle. The measure of the smallest angle is equal to the difference between the measure of the largest angle and twice the measure of the second smallest angle. Determine the measures of the three angles of the triangle.. At the local bar beers, mied drinks, and shooters are sold for $; beers, mied drinks, and shooters are sold for $; and beer, mied drinks, and shooter are sold for $7. What is the price of beer, mied drink, and shooter sold individuall?

8 . A garden store owner needed to keep track of the number of -pound bags, 0-pound bags, and 0-pound bags of soil he sold during the week, which sell for $7.0, $9, and $.0, respectivel. He completel forgot to keep track, but he knew he could figure it out. The register tape revealed that a total of bags were sold, which brought in a total of $.0. He also could tell from the depleted dirt pile that he sold a total of 80 pounds of dirt. How man bags of each sie did the owner sell?. A person invested $,000 among three different investments. With some of the mone, he purchased a municipal bond paing.% simple interest. He invested twice the amount of mone that he paid for the municipal bond in a certificate of deposit paing.% simple interest. He placed the balance of the mone in a mone market account paing.7% simple interest. If the total interest for ear was $9.0, how much was placed in each account?. A % solution, an 8% solution, and a % solution of saline are to be mied to get liters of a % solution. How man liters of each must be mied if the volume of the % solution must be liters less than twice the volume of the % solution?

9 Solve the following sstem of linear inequalities b graphing.. Solve the following sstem of linear inequalities b graphing.. Solve the following sstem of linear inequalities b graphing. 7.

10 Solve the following sstem of linear inequalities b graphing. 8. Solve the following sstem of linear inequalities b graphing. 9. Solve the following sstem of linear inequalities b graphing. 0.