MAC 1140 Spring Exam 1

Transcription

1 MAC 1140 Spring 2017 Exam 1 Section # _ Name ----~ UFID# _ Signature _ A. Sign your scantron on the back at the bottom in ink. B. In pencil write and encode on your scantron in the spaces indicated: 1) Name (last name first initial middle initial) 2) UF ID Number 3) Section Number C. Under "special codes" code in the test ID number D. At the top right of your answer sheet for "Test Form Code" encode A. BCD E E. 1) There are 15 (3-point) multiple choice questions plus 4 (5-point) free response questions for a total of 65 points (this includes 5-points extra/bonus for this exam). 2) The time allowed is 90 minutes. 3) You may write on the test. 4) Raise your hand if you need more scratch paper or if you have a problem with your test. DO NOT LEAVE YOUR SEAT UNLESS YOU ARE FINISHED WITH THE TEST. F. KEEP YOUR SCANTRON COVERED AT ALL TIMES. G. When you are finished: 1) Before turning in your test check for transcribing errors. Any mistakes you leave in are there to stay. 2) Bring your test scratch paper and scantron to your proctor to turn them in. Be prepared to show your UF ID card. 3) Answers will be posted in CANVAS after the exam. The Honor Pledge: "On my honor I have neither given nor received unauthorized aid in doing this exam." Student '8 Signature: _

2 " MAC 1140 " Spri'ng 201:7:----Exam 1 1- ' 1 :' x Questions 1-15.are wortl13 points each. 1. If x '"f'l;' '. I' f x. ;= A. 3 then x2. " 1 +'x-2 = 7. B. Fal:;;e ' 9+x2 2..For all real numbers x " ' x. A. True B; False l 3. For all real numbers x A. True 1fx x2' V7Fx6 = x B. False if z > 0 if x == 0 if x < 0 A. 'frue B.' False " 5.. The set A. 'ITue {-2 ~'~--'15:J34(-32?/5'~} consists of only rationa~~numbers. B. "False la A

3 .. MAC1140 ~ Spring 2017'- A Exam 1 6. Rationalize the denominator. of the fallowing expression 6 ~(7 A. D. ~(7+ J3) B. 23 ~(7 +\13) 23 + v'3) ~(7'- J3) c. ' 20. ~(7- V3) 23 E. None of the above. 7. simplify and write using only positive exponents. X8/3y-'2/3 (X2y)1/3 A. x y B. y c. x D. 8..Completely factor the following expression' 8X2y4z3.A. 4xy3Z3(2xy - 5x3yz3 -: IOz) B. 4::ty3Z3(2xy - 5X3yz3-10z2) C. 4xy3z3(2xy + 5x3yz3 D. 4xy3Z3(2xy - 5x3yz3-5z2) - ioz2) s K None of the above - 20x4y4z6-40X1PZ~ E. u

4 MAC Spring Exam 1 9. Simplify the following expression write the final answer using only positive exponents. (2)(x2-4)1/2(X - 2) + X(X - 2)2(X2 ~ 4)-1/2 (x - 2)2 The denominator of the final answer need not be rationalized. x+2 A. (X2 _ 4)5/2 B. 2(x + 2)(x2-4)1/2 (X2-4) C. 2x+2 {x2-4)1/2 D. (3x + 4) (x2-4)1/2 E. None of the above. 10. Write the statement below as an absolute value inequality "x is at most four units from 3" Then solve it and write the answer in interval notation. A. (-00-1) U (700) B. [-17] C. (-0000) D. (-00-1] U [700) E. (-17) 3A A

5 \tv (li6 - fix98 - LXt)(Lfi6 - fix98 + LXt)(fi8 + Xl)(fi8 - Xl) '3 (Lfi6 + fixl1 - LXt)(Lfi6 + fixl1 + Lxt)(fi8 + Xl)(fi8 - Xl) '0 (Lfi6 + fix9 - LXt)(Lfi6 + fix9 + Lxt)(fi8 + Xl)(fi8 - Xl) '0 (fi8 +fix9 - Xl)(fi8 - fix9 + Xl)(8 + Xl)(fi8 - Xl).s: (fi8 + fix9 - Xl)(fi8 - fix9 + Xl)(fi8 - Xl)(fi8 + Xl) 'V 9l = t9 puv 98 = 6ZL :7u~H 's8qn;j 0M.1JO runs pub s8qn;j OM.1JO 8;JU818.IFP81:[1~U!OP U81:[1puu samnbs 0M.1JO 8;JU818.lHP81:[1~u!sn 1S19Aq X '8AOqU 81:[1JO 8uoN '3 1 (8 + x)x (8 + x)x X '0.s: 1 + xl 1 + xl 1 + xl '0 'V 1 - LXt. 1 + x8 - LXl x8 + LX 8 - Xl + LX (1f+t)91 (8+1f)- L(1f+ t)91 (8 + 1f)- '0 L(1f+ t)8 (8 + 1f)- L(1f+ t)91 (8-1f).s: L(1f+ t)91 (8+ 1f) 'V 91 L(1f+t) 1 1 V

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8 MAC Spring Exam 1 A Section # _ Name UFID# _ Signature _ YOU MUST SHOW ALL WORK TO RECEIVE FULL CREDIT. Each free response questions is worth 5 points question 4 is a bonus question that is worth 5 points. You must show complete algebraic work to receive credit! 1. [5 points] Solve the following equation. Write all the solutions below. Clearly indicate your method of solution. (x - 1)4/5-3(x - 1)2/5 + 2 = 0 2. [5 Points] Solve the following equation by completing the square (if you do it with any other method you will get 0 points): 5x2-12x + 3 = 0 x= _ 7A

9 MAC Spring Exam 1 A Name Section # _ 3. [5 Points] Solve the following radical equation. Be sure to check your answers for extraneous solutions. V3x Vx-=1 = 2 4. (BONUS) [5 Points] Write the following statement in terms of an inequality. "The distance between x and 5 is at most 3 but greater than 1" Solve the above inequality. Write your answer in interval notation: _ 8A