FINAL EXAMINATION in MATH 1 MULTIPLE CHOICE DIRECTIONS: Select your answer from the four choices: letters A, B, C, D if there is none, WRITE E. 1. The algebraic expressions ( 3x + 1 ) 0 is a A. monomial B. binomial C. trinomial D. polynomial 3 x 2 3 2. The algebraic expressions A. monomial B. binomial is a C. trinomial D. polynomial 3. The degree of 3000 is. A. 0 B. 1 C. 2 D. 3 4. The degree of an expression -5xy4z2 is A. 3 B. 5 C. 7 D. 9 5. Add the three polynomials 4a - 2b + 8c; -16a + 8b + 4c; 6a - 8b - 9c. A . --6a + 2b + 3c B. -6a - 2b + 3c C. -6a - 2b - 3c D. 6a - 2b + 3c 6. Simplify: 4x - { 2y + [ - (x - 3) + (y + 5) - 8x]} A. 13x + 3y + 8 B.13x - 3y + 8 C.13x - 3y - 8 D. 13x + 3y - 8 7. The middle term in the product of (4a - 5b)2. A. -9ab B. -20ab C. -40ab D. -18ab 8. The last term in the product of (4a - 5b)2. A. -25b2 B 25b2 C. 5b2 D. 20b2 9. The first term in the product of (5x + y) 2. B. 25x2 A. 5x D. 5x2 C. 25x 10. The last term in the product of (2x - 4)3. A. -64 B. 64 C. -64x2 D. 64x2 11. 2x2y is the quotient when 6x4y3 is divided by __. A. 2x2y2 12. 64 B. 3x2y2 C. 3x3y3 D. 6x3y3 B. 4 C. 6 D. 8 B. 4 C. 6 D. 8 = ? A. 2 3 13. 42 A. 2 =? 2 3 14. 5 5 =? A. 53 B. 54 C. 55 D. 56 15. The remainder when (27x3 - 8y3) is divided by (3x -2y). A. 9x2 - 6xy - 4y2 B. 0 C. 9x2 + 6xy +4y2D. 9x2 + 4y2 16. What is the LCD of the following expressions : m - 1, 1 - m, (m - 1) 2? A. (m-1)(1 - m)(m - 1)2 B. (m - 1)2 C. (m - 1)3(1-m) D. - (m - 1)2 17. Divide (3x - 6x2 + 18) by ( 2x + 3), the quotient is__. A. 3x + 6 B. 3x - 6 18. The remainder of (4x3 - 5x - 2) A. -4 C. -3x - 6 D. -3x + 6 ( 2x - 1 ). B. 4 C. -2 D. 2 19. Supply the missing factor in x2 - 13x + 40 = (x-8)(___). A. x + 5 B. x - 5 C. 5 - x D. 5 + x C. 6 D. 8 C. 6 D. 8 20. 4x - 3 = 21 , value of x is A. 2 B. 4 5y 3y + 13=0 , value of y is 2 4 21. A. 2 B. 4 22. L = a + ( a - 1 ) d ; for d A. La a1 B La a+1 C. L+ a a1 D. L+ a a+1 23. Give the product of 3xy2(x2 + 2xy - 4y2). A. 3x3y2 + 6x2y3 - 12xy4 C. 3x2y2 + 6x2y3 - 12xy4 B. 3x3y2 + 6xy3 - 12xy4 D. 3x3y2 + 6x2y3 - 12xy3 24. Give the product of a2b3c2(3ab + 5bc - 7ac). A. 3a3b4c2 + 5a2b4c3 - 7a3b4c3 C. 3a3b4c2 + 5a3b4c3 - 7a3b3c3 B. 3a3b4c2 + 5a2b4c3 - 7a3b3c3 D. 3a3b3c2 + 5a2b4c3 - 7a3b3c3 25. Give the product of (2x2 + 3y3)2. A. 4x4 + 12x2y3 + 6y6 C. 4x4 + 12xy3 + 9y6 B. 4x4 + 12x2y2 + 9y6 D.4x4 + 12x2y3 + 9y6 26. Give the product of (m2n + 4)(m2n - 9). A. m4n2 - 5mn - 36 C. m4n2 - 5m2n - 36 B. m4n2 - 5m2n + 36 D. m4n2 + 5m2n - 36 27. The product of (x + 1)(x2 - x + 1). A. x3 - 1 B. x3 + 1 C. x3 + 2 D. x3 - 2 28. Factors of x2 - x - 6. A. (x + 2)(x + 3) B. (x -2)(x + 3) C. (x + 2)(x - 3) D. (x - 2)(x - 3) 29. The polynomial x2 - 13x + 42 has one factor of ( x -7). Find the other factor. A. x - 6 B. x + 6 C. x + 3 D. 2x + 3 C. 6(x + 1)(x -12) D. 6(x+2)(x-6) 30. Factor : 6x2 - 11x - 72 A. (3x + 8)(2x -9) 31. Reduce B. 6(x - 3)(x +4) 3 m3 n nm A. 3 to lowest fraction. B. -3 C. n-m D. m-n C. x D. x(x + 1) 32. Find the LCD of (x + 1), x A. x + 1 33. Simplify: A. 2 x x 2 x 2 4 34. Simplify A. B. 1+x B. 4 x2 C. -1 D. 0 8a 7 b2 b2 a b2 B. a b4 35. Find the sum of 1 1 x y . 1a b2 C. 8 a7 b2 D. A. 2 x+y B. x+ y x y C. 2 xy x+y xy D. 36. The rational expression (x2 - 1) (x2 - x) can be simplified to x +1 x (x1) A. x1 x ( x+1 ) 37. Simplify x 2 y 2 3 x +3 y A. 0 A. C. D. 3(x+ y) x y x1 ( x6 ) ( x +5 )2 6 C. ( x6 ) ( x +5 ) x ( x x30 )( x+51 ) 2 x1 ( x6 ) ( x +5 ) B. D. x1 ( x6 ) ( x +5 ) 39. Simplify : 1 1 + x +1 x +2 1 1 x +1 x +2 A. 2x + 3 40. Simplify: A. 3 ( x 2 y 2 ) ( x y )( 3 x+ 3 y ) )( x3 y ) B. 1 38. Simplify: C. x x +1 B. D. ( x +1 x B. x + 3 C. 2x - 3 D. x - 3 2 x2 x 1 + y1 3y ( y x ) 3y B. x ( yx ) C. 2y ( y+x) D. 2y x ( y+x) 41. The radical expression A. 2x B. 4x 3 64 x 3 can be simplified to C. 6x D. 8x 42. Simplifying radical expression 3+3 5 A. B. 6 25 4 5 C. 3 5 D. 2+3 25 43. The degree of 3000 is. A. 0 B. 1 44. Simplify 15 C. 2 D. 3 2010 12+ 2 75 A. 15 208 3 B. 30 C. 30 510 3 D. 15 58 12 2010 12 45. Add the three polynomials 4a - 2b + 8c; -16a + 8b + 4c; 6a - 8b - 9c. A . --6a + 2b + 3c 46. Simplify: C. 6a - 2b - 3c D. 6a - 2b + 3c B. 2 y 2 4 C. 2 y y D. 2 y y B. 6 C. 4 D. 2 4 4 2 y 16 y 3 4 A. 2 y 2 47. Simplify: B. -6a - 2b + 3c 3 16 3 2 A. 8 48. The last term in the product of (4a - 5b)2. B. -25b2 49. Simplify: A. B 25b2 C. 5b2 D. 20b2 3 3 2 6 6 B. 6 3 6 2 C. 6 C. 6 432 2 3 432 2 50. Simplify: A. 3 D. 5 51. Simplify: 24 6 2 B. 2 x+ y 2 D. x+ y A. 52. x+ y 64 4 53. 2 y C. x + y D. B. 4 C. 6 D. 8 B. 4 C. 6 D. 8 2 x+ y x+ y = ? A. 2 3 2 2x x+y B. =? A. 2 54. The value of x in a quadratic equation 6x2 - 7x - 20 = 0. A. 5, 4 B. 5 4 , 2 3 5 4 , 2 3 C. D. 5, -4 2 55. The value of x in a quadratic equation 4x - 9x = 0. A. 0, 9 4 9 B. 1 , 4 C. 2 , 9 4 D. 3, 56. What is the LCD of the following expressions : m - 1, 1 - m, (m - 1) 2? A. (m-1)(1 - m)(m - 1)2 B. (m - 1)2 C. (m - 1)3(1-m) 57. The value of x in a quadratic equation 9x A. 5 3 , 3 5 B. 5 5 , 3 3 2 D. - (m - 1)2 - 25 = 0. 5 3 , C. 3 5 D. 3 3 , 5 5 2 58. The value of x in a quadratic equation x + 4x + 3 = 0. A. 1 , -4 B. -1 , 4 59. Supply the missing factor in A. x + 5 C. -1 , - 3 D. 1 , 3 x2 - 13x + 40 = (x-8)(___). B. x - 5 C. 5 - x D. 5 + x C. 6 D. 8 60. 4x - 3 = 21 , value of x is A. 2 B. 4 61. The value of x in a quadratic equation A .2 10 B. 3 10 2 x - 6x - 1 = 0. C. 4 10 D. 5 10 9 4 62. The value of x in a quadratic equation 2x A. 2 10 2 B. 3 10 2 2 C. 63. The discriminant in the quadratic equation - 4x - 3 = 0. 4 10 2 6x 2 D. 5 10 2 + 5x - 4 = 0. A. Distinct rational number C. equal and rational B. Distinct irrational D. not real 64. The discriminant in the quadratic equation 9x 2 + 12x + 4 = 0. A. Distinct rational number C. equal and rational B. Distinct irrational D. not real 5 x +6=x+ 2 65. The roots in the radical equation A. 2, 0 B. 3 , 0 B. 1 , 12 B. 1 , 12 68. The roots of the equation x A. 3 , 2 C. 2 , 3 4 D. 3 , 4 x+ 4 - 2 x+1+1 = 0 67. The roots in the radical equation A. 0 , 12 D. 2 , -1 72 x - 3x - 4x = 0 66. The roots in the radical equation A. 0 , 12 C. 2 , 1 C. 2 , 3 D. 3 , 4 2 - 5x + 4 = 0 B. 1 , 2 C. 1 , 3 2 , 2 69. The roots of the equation x A. 27 , 64 1 1 , 4 3 1/3 + 7x B. 25 , 65 70. The roots of the equation x A. 2/3 -2 1 1 , B. 4 3 + 12 = 0 C. -25 , - 65 + x -1 D. - 27 , - 64 - 12 = 0 C. 1 1 , 4 3 1 1 , D. 4 3 D. 71. The value of x and y in linear equations 2x + y = 14 x - 2y = -3 A. 5 , 4 B. 5 , 3 72. The value of x and y in linear equation A. 3 , 4 B. 3 , 3 73. The value of x and y in linear equation A. 2 , 11 B. 11 , 3 74. The value of x , y, and z in the system A. 1, 2, 3 B. 3, 4, 5 75. The value of x , y, and z in the system A. 4, 2, 3 B. 3, 1, 2 76. The value of x , y, and z in the system A. 4, 2, 3 B. 3, 1, 2 C. 5 , 2 D. 5 , 1 x + 2y = 7 3x - 2y = 5 C. 3 , 2 D. 3 , 1 3x - 2y = 8 5x - y = 11 C. 5 , 11 D. 2 ,10 3x - 2y - z = -4 5x + y + z = 17 4x - 3y - 2z = -9 C. 2, 3, 4 D. 4, 5, 6 3x - 3y - z = 4 x + 9y + 2z = 16 x - y + 16z = 14 C. 2, 1, 1 D. 4, 5, 6 x - y + 2z = 4 3x + 2y - 4z = 2 x + y + z =3 C. 2, 0, 1 2 D. 4, 5, 6 2 77. The solution set in the system of equation x -y = 16 x - 2y = - 1 5 ,3 13 5 , ,( 4 , 3) A. ( 13 , 5 , C. ( 3 3 3 3 13 5 13 5 , , ( 2 ,3 ) , ,(1 , 3) B. ( 3 D. ( 3 3 3 78. The solution set in the system of equation - x 2 2 2 +y = 5 2 2x + y = 17 A. (-2, -3), (2, -3), ( -2,3), (-2, -3) C. (2,3), (-2, -3), ( -2,3), (-2, -3) B. D. (2,3), (2, -3), ( -2,-3), (-2, -3) (2,3), (2, -3), ( -2,3), (-2, -3) 79. The solution set in the system of equation x 2 2 + y = 25 2 x -y 2 =7 A. (-2, -3), (2, -3), ( -2,3), (-2, -3) C. (4,3), (4, -3), ( -4,3), (-4, -3) B. . (2,3), (2, -3), ( -2,3), (-2, -3) D. (3, 3), (2, 3), ( 2,-3), (-2, -3) 80. The solution set in the system of equation x 2 2 + y = 13 2 x -y 2 =5 A. (-2, -3), (2, -3), ( -2,3), (-2, -3) C. (4,3), (4, -3), ( -4,3), (-4, -3) B. D. (3, 2), (3, -2), ( -3,2), (-3, -2) (2,3), (2, -3), ( -2,3), (-2, -3) Good Luck