Math001 mt 061

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1. King Fahd University of Petroleum and Minerals Prep-Year Math Program Prep-Year Math I MIDTERM EXAM Semester I, Term 061 Tuesday, November 14, 2006 Net Time Allowed:…
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  • 1. King Fahd University of Petroleum and Minerals Prep-Year Math Program Prep-Year Math I MIDTERM EXAM Semester I, Term 061 Tuesday, November 14, 2006 Net Time Allowed: 120 minutes MASTER VERSION
  • 2. MATH 001-TO61 (MIDTERM EXAM) Page 1 of 13 pGmEq 1. The number (6.9 x 1029)(7.5 x 10-14) written in scientific notation 0.023 x 1016 is given by (b) 22.25 x lo6 see probtcw~ YS t; YB 1?32 (c) 2.25 x (d) 0.225 x lo4 (e) 2.25 x 2. The value of the expression -17 + 3[8x - 4(3x - 2)] when x 3 = -- 4 (b) -11
  • 3. MATH 001-TO61 (MIDTERM EXAM) Page 2 of 13 pzzEiq 3. The solution set, in interval notation, of the inequality jplf (-m, -6) u [-3,6) See ~~~~~~~5 37 & 50 F-IYO (b) (-m, -6) u [-3, m) 4. For x > 0 and y > 0, the expression [(2x2y)-I (zx3 y-2)2 I -I" 2 (x y) -3 (25 y-2) -I simplifies to see e+-p!e 4 P-2 6 See ~~obkw5s9 6 76 b-32 Y (b) 2 x2 (4 (d) x2y3 (4 xy4
  • 4. MATH 001-TO61 (MIDTERM EXAM) Page 3 of 13 I MASTER I 5. If A is the leading coefficient and B is the constant term of the polynomial (4x - 1)2- (2x - 3)2, then A + B is equal to seew" Q lei (.-36 Y4 See problems /I k 16 /?YI 6. One factor of 5x3y - 5xy3 + 6x2y - 6xy2 is )$cf 5~+5y+6 see W-le q pa 5 I 4 (b) 5~-5y+6 see problem/, 63 G 6% P-SY (c) 5x-5y-6 (d) 5x+5y-6 (e) 5x+5y+ll
  • 5. MATH 001-TO61 (MIDTERM EXAM) Page 4 of 13 7. The possible value(s) of k that makes the trinomial 25x2 + kxy + 64y2 a perfect square is(are) /p,f80 see +-pie 7 P-50 (b) 40 see p~obl~rn45 7 & 54 P-5'f (c) -40 (d) f 160 8. The expression simplifies to -.
  • 6. MATH 001-TO61 (MIDTERM EXAM) Page 5 of 13 I MASTER I 9. The expression simplifies to 10. If i=-, zl ==8-,i and z2 = 2-83, then zl + z2 = pfl-i see ~-11m Y A70 md 5 k 71 (b) 1 - 42 see problem5 41 k 62 f? 72 (c) 1 + 32 (e) -1+3i
  • 7. MATH 001-TO61 (MIDTERM EXAM) 11. The expression Page 6 of 13 simplifies to See exnnqle 4 k 60 12. The solution set, in interval notation, of the compound inequality 2x-4<8 and -2x+1<5
  • 8. MATH 001-TO61 (MIDTERM EXAM) Page 7 of 13 13. The solution set of the equation dZ3-3=r contains see e?Cv le 6 k.12~ See problew5 29 30 k126 None rational number (b) two rational numbers (c) one positive rational number (d) no real numbers (e) one negative rational number 14. The length (L) of a rectangle is 2 units less than twice the width (W) of the rectangle. If the perimeter of the rectangle is 110 units, then L - W is equal to
  • 9. MATH 001-TO61 (MIDTERM EXAM) Page 8 of 13 I MASTER I 15. The value of k for which the quadratic equation has two equal solutions is See w~ucpte 6 P8 loq see problem5 47 t 54' b.113 16. If (a + c)x + x2 = (x + a)2, then x =
  • 10. MATH 001-TO61 (MIDTERM EXAM) Page 9 of 13 17. The solutions of the equation are 4 fi (b) -- f -2 3 3 4 fi (d) -3 f -2 3 2 ,h (e) -3 f Ti 18. The solution set of the equation is equal to (d) the empty set 4
  • 11. MATH 001-TO61 (MIDTERM EXAM) Page 10 of 13 I MASTER I 19. Iftheequation (3x-4)(x+1) = -2 iswritteninthe form (~+m=) n~, then m+n is equal to See "-4 1 3 and 't kb /66-107 (b) 1 See problems 21 k 32 P- 113 20. If the sum and the product of the two roots of the equation 3 2x2 + bx + c = 0 are -4, and - respectively, then L b + c is equal to see pdlem~ g2 6 s 6 11 6
  • 12. MATH 001-TO61 (MIDTERM EXAM) Page 11 of 13 I MASTER I 21. The sum of the real solutions of the equation 22. Which one of the following equations is NOT an Identity? (b) 62 - 5 = -3(1 - 22) - 2 1 (d) (~-3)~=x~-6~+9 1 x + 6 (e) -x+2=- 3 3
  • 13. MATH 001-TO61 (MIDTERM EXAM) Page 12 of 13 23. The sum of the real part and the imaginary part of the complex number ,/=Z(V=z - ,/=z?) (1 + i)2 is equal to N -7 see th wrmqI~ A %A a*td Imn3 imar3 ?mrfs of- a CampI~ (b) 1 ~bevp.6 6 - (4 -2 See problew~ 23,24, 33 k36 b. 72 (e) 42 24. The expression simplifies to see Lmd k /?2qe3&' . (b) -16x26 (d) 3x2m (e) -4x2%
  • 14. MATH 001-TO61 (MIDTERM EXAM) Page 13 of 13 25. The solution set, in interval notation, of the inequality 2 < Is- 11 < 3 is equal to
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