MAP4C1 Exam Review. 4. Juno makes and sells CDs for her band. The cost, C dollars, to produce n CDs is given by. Determine the cost of making 150 CDs.

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1 MAP4C1 Exam Review Exam Date: Time: Room: Mak Beakdown: Answe these questions on a sepaate page: 1. Which equations model quadatic elations? i) ii) iii) 2. Expess as a adical and then evaluate: a) b) 3. Solve the equation 6 2x = Juno makes and sells CDs fo he band. The cost, C dollas, to poduce n CDs is given by. Detemine the cost of making 150 CDs. 5. Which table of values coesponds to the equation? Table 1: Table 2: Table 3: x y x y x y Joaquim is making a budget fo one yea. Fom May to August, Joaquim woks full-time and eans a take-home salay of $500 a week. Fom Septembe to Apil, Joaquim goes to college and woks pat-time eaning a take-home salay of $250 a week. Joaquim s tuition fo one yea is $4200. He expects to spend $1100 on books and supplies. His fixed monthly expenses ae $490 a month fo ent and utilities and $65 a month fo a bus pass. How much will Joaquim have available fo othe expenses each month? 7. Which equations model exponential elations? i) ii) iii)

2 8. Detemine the numbe of compounding peiods. Time of payment Length of Annuity Inteest ate pe yea Fequency of compounding end of evey 6 months 13 yeas 18.2% semi-annually 9. Calculate the length of side a. B 37 cm a 10. Detemine the indicated length. A cm C m L cm M 11. Detemine the aea of the composite figue. The cuve is a semicicle. 3.0 cm 12. Suppose the gaph shows an index of govenment spending on public health education cm a) What is the base yea fo this index? How can you tell fom the gaph? b) By how much did the index change between 2000 and 2002? c) By how much did the index change between 2002 and 2004? d) By how much did the index change between 2004 and 2006? e) Compae you answes to pats b, c, and d. Which peiod had the geatest incease in spending? How can you see this fom the shape of the gaph? Calculate the slope of the peiod with the geatest incease in spending. Page 2 of 7

3 13. A plane is appoaching a 7500 m unway. The angles of depession to the ends of the unway ae 9 and 16. How fa is the plane fom each end of the unway? 14. Detemine the side lengths of s and t. 15. Ceeal boxes ae each 30 cm wide by 36 cm high by 14 cm deep. They ae packed in a lage box that is 4 boxes wide, 4 boxes high, and 10 boxes deep fo shipping. Detemine the suface aea of the shipping box. 16. The unning tack in this diagam consists of two paallel sections with semicicula sections at each end. Detemine the aea of the tack. 17. Fo each table of values, decide whethe the data model a linea, quadatic, o exponential elation. Conside fist diffeences, second diffeences and gowth/decay factos. a) x y b) x y c) x y Page 3 of 7

4 18. Simplify fist then evaluate fo x= 2 and y =-3 and z = x y z 4 2 xy z 19. The aspect atio of a hang glide descibes its pefomance duing flight. The fomula atio, R, fo a hang glide with wingspan s and wing aea A. R s A 2, gives the aspect a) Reaange the fomula to isolate s. b) Jake wants to design a hang glide with an aspect atio of 2.7 and a wing aea of 30 squae feet. What will be the wingspan of the glide? 20. Solve 25 x x2 21. Two beas est on the gound 600 m apat. The fist bea spots beies 25 m above the gound at an angle of elevation of 4. The second bea spots the same beies. What is the angle of elevation at which the second bea spots the beies? Include a diagam. 22. John buys 120 feet of fencing to ceate a pen fo his animals. He wants to enclose the maximum aea possible. a) What would be the dimensions and aea of a ectangula pen? Dimensions: Aea: b) What would be the dimensions of a cicula pen? Radius: Aea: c) Which pen should he choose? How much will it cost him to line the fence if mateial costs $10/yd? 23. Use this scatte plot. 3 feet = 1 yad a) Descibe the coelation as positive o negative. Explain how you know. b) Daw a line of best fit. c) Can you use you line of best fit to detemine how many seconday schools thee ae fo evey 120 elementay schools? Explain. Page 4 of 7

5 24. A maine biologist measues the tempeatue at vaious depths below sea level. He findings ae shown in this gaph. a) Descibe the ate of change of the gaph. b) Calculate the ate of change of tempeatue with espect to depth. c) Define you vaiables. Wite an equation that descibes the tempeatue-depth elation. d) Use you equation to detemine the tempeatue at 4m. Check you esponse with the gaph. e) Use you equation to detemine the depth when the tempeatue is 8 degees Celsius. Check you esponse with the gaph. Tempeatue ( C) Depth (m) 25. newspape columnist wants to find out what people thing of a popose by-law that would limit the height of fences they can build in thei yads. Is the suvey he wites in his column biased? Why o why not? Once again the govenment is tying to contol us. This time they ae intefeing with ou backyads. Do you agee with the poposed law to limit the height of a fence esidents can put up in thei yads to 2.44 m? Cicle You answe - o Yes 26. Do the following items epesent income o an expense. Explain. a. c. Loan payment Scholaship b. d. Investment income Rent 27. Find the aea of this composite figue: 4 ft. 28. a) How much potective-shink wap is needed to cove this bale of hay if the wap does not cove the ends of the oll? [2] 4 ft. 12 ft. b) Suppose potective-shink wap is sold by the squae mete. How many squae metes ae needed to cove the bale as descibed in pat a? [2] 1 foot = m Page 5 of 7

6 Fomulas sin A sin B sin C a b c 2bc cos A a b c bc a Acos 2 bc a b c sin A sinsin B x = C 3 v = v 2 A P 1 ( n) PMT 1 FV a b x x x ab ( n ) 1 i n n a b a b a b ab x x x PMT 1 1 PV x x x 1 x 1 1 Rectangula Pism: V = lwh SA = 2(wh + lw + lh) SA = 6s 2 Othe Geometic Figues Volume Suface Aea ( n ) x 0 1 Tiangula Pism V = 1 2 blh SA = bl + ah + bh + ch Cylinde Aea = base aea x height o V = π 2 h SA = 2π 2 + 2πh Optimization Dimensions h = 2 Optimization Dimensions h = 2 Page 6 of 7

7 Geometic figue Peimete Aea Rectangle P = 2l + 2w A = lw Squae: P = 4s Squae: A = s 2 Paallelogam P = 2b + 2c o P = 2(b + c) A = bh Tiangle P = a + b + c A = 1 2 bh Tapezoid P = a + b + c + d A = 1 (a + b)h 2 Cicle C = πd o C = 2π A = π 2 Page 7 of 7