(sample) Exam #1 (with solutions)

(sample) Exam #1 (with solutions) - A Math 201 - Test 1 C)...

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Unformatted text preview: A Math 201 - Test 1 C) lur‘l’lél’) 5 Section: E Name: In problems 1—7 below (valued at 5p0ints each) indicate your choice by circling the preceding letter. For all other problems, show appropriate work to receive credit (value indicated) and place your answer in the blank provided. Calculators are not allowed on this exam. Formulas you may need on this exam: D =RT, A =l x w, P = 2] + 2w, A = ’/2 bh, A = ’/2 h(b, + [92), \ _2 1 _ _y_+1 .L —- :Bf-I‘. l 1. Solvefory. §y+§(y 3)_ 4 n 5%”) + 1%) S) (q \ a.)—15/11 b.)6/5 35*“3’3‘3c3fl3 (if/“e d.) 60/13 ' I “‘3: a1 ':::\7' e.) None oftbe above 2. Solve for r: A =P + Prt 2") A: A: P +Prt 11) 313—1: Aavg-wt) . ' A a - A 6.0? d') P+Pt A...\ Ft e.)A—P—Pt 3/ 3. Solveforx: 4/x+6 —x = 4 a.) 5 and 2 only 1- “ 5 —g b.) 2 only A x]: ’1 1’ 2o 0‘) ‘20“13’ x4,“ .. \b+$¢»-w- 1. diksandiZomy ,. o+17mv~l~ 6.) None ofthe above 0 -‘ h / V a" \ $15“; 4. Solve forx: x4 ~ 6:2 + 5 = 0 LL: x. :.)=:1adnd3i5 we)“ 0 xii/'1‘ C.)) 2am - — and —3 («L-'WQMVO [3-56 e.) None of the above 5. The solution of 2(4x + 3) 2 8 - 4(X alt-5Q“. 04 2‘ ou+ Md a.) x S —l/2 ‘3‘?an b.)xZ3/2 ‘f’bfi? q.- 9.1.1”; c.)x£—2/3 41+27¢ Z‘k-‘é'rl e.) None ofthe above Z 3 7&2 35.. 6 For what values ofx is 8::x 2 3 ? a -001 1 3m —3 _, a ’ 5’»? '”‘ > 3M3 l st 1:243} 760%” l ,., 23 ' 4 20 b) _‘g 0 A00 3—37: 2: \1 )_ 3 i > 4 9.0 {=- $10 -001 ago ‘37“ "‘ a A w M3 1 A, 2/3 .- x» "20 1"" 3 e) _?,w] 7. If fix) = 2x—3, then M ;_______.._——-—-——:::7 (nah—37»- (3164) h a.) 2x +hh —_3 '3 l: k 9- '; 21; +3.“ "‘3 d.)0 H 2h”; e.) 2h -"‘—‘ -—’ x x—4,x<2 8. If f(x) = 7 and g(x) = { : (2 points each) 2x“ — 4x x2, x > 2 a.) What is the domain of fix) ? (" my.) J {OWN é’) 0)b.) Evaluatefl— l) : / / c.) What is the domain of g(x) ? 1’ OD, U (a .w) d.) Evaluate g(— l) : ‘ b 3 9. Give an example of a 3rd degree polynomial function: (2 points) ’ _ 10. State the domain ofthe function f(x) = ,/x —l : (2 points) I l i 11. In the problems below, establish an appropriate equation or inequality and solve. You will not receive credit for a trial and enor solution. (a: 7 points, b: 5 points) a.) A company produces figurines at a cost of $3.00 per unit. If fixed costs are $1,500 per month and each unit sells for $8, how many figurines must be sold in a given month to break even? 3 2 C 19" «W'W‘l: ' +0 54mph. cum 5v 5254-6061:!!!ng Cas'l's I W 2mmwu5m+3 71;: $12. 14500 5 3x:— 7—0441 revenue-Cromun'fis o‘W— 4"” 96 How manyfigurines must be sold in a given month in order to earn aprofit of$6,500 in that month? ?ro-l»‘i'l == Revenue -—To\a.0. Cost I (000 - (9500 2 5x —-\‘500 7" ’ ‘5’ b.) A fence is to be placed around a rectangular plot so that the enclosed area is 800 ft2and the length of the plot is twice width. What (new dimensions oft/7eplot? How manyfeet offencing must be used? Dimensions: g 0 3 [2 l o m N =' Fencing needed: I 6 I 52 3’00 7’ 9491' ' 20w + 2.603“— l‘ap WW . w ‘9 CC " o = sink-zoo .) W“ 7-— : w -"i00 17clL+9~W W6:W:?_w;igo 12. If = x2 — x and g(x) = 2x , find the following: (2 points each) 2. 2 3) (f+g)(-Xl 4% b-) (f-gXx): $43.7; 0-) (f—g)(4)i 4— :. é _ . 1 d.) (fg)(x): (Ladle-p) ~. e.) (ixx): ——-—--“_a,¢ 7, 11) (f°g)(x):i)_<_'1' 2x 419 «1%; g g.) (g cor—4): 4Lo__ h.) Identify the domain in part 6 above: 6‘ wjo> U LO ' 13. Find the inverse function of f(x)= 3x+5. Show all steps. (4 points) f '1(x) = 3 3":- 57C+5 >wl+Ck 'Domaim t Ramfikum X '7 35% 54%; ~5- L3 =‘s cwcnosamlog" 14. 16. 5[‘ ’5‘" 9-614“: ‘f 3" =9 yx;m~4‘~ 15. Identify any x axis, y axis or origin symmetry in the relation Sx‘ — 2xy + y ‘ = 0. Show all appropriate steps. (5 points) 5' 13”— D’XC-Wr ("5 M Sketch the gi'a h of 4x2 + y2 = 16, using x and interce ts and results of symmetry tests. (6 points) P y P Identify: \ ‘ y xintercept(s): 1 o ‘3‘: yintercept(s): O 'q)”£o;9f M— ¢=0 Any x axis, y axis or origin symmetry: 1 3 X ‘3— },JJML ~lk¥3+ =— “I Marina'— au 4% t 1 Kai: s +(.¥\ 4-} = “1 n0ka fi‘fit ‘90qu ‘i in (“33‘ 7- W mom-m.» In the blank to the left of each function listed in Column A, place the number of the graph in Column B that represents that function. Each item in Column B may be used once, more than once or not at all. (2 points each) Column A Column B e.)y=f(x)=3x—l ...
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(sample) Exam #1 (with solutions) - A Math 201 - Test 1 C)...

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