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1. Solve. X(2)+14x-4=0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is x=? (Simplify your answer. Use a comma to separate answers as needed. Type an exact answer, using radicals as needed. Type each solution only once.) B. There is no solution 2. For the following equation, state the value of the discriminant and then the nature of the solutions. -11x(2)+10x-6=0 What is the value of the discriminant? ? Which one of the statements below is correct? A. The equation has two imaginary solutions. B. The equation has two real solutions. C. The equation has one real solution. 3. Rewrite the following expression with positive exponents. (6xy)-9/10 Choose the correct equivalent expression. A. (6xy)-9/10=1/(6xy)10/9 B. (6xy)-9/10=(6xy)10/9 C. (6xy)-9/10=-(6xy)9/10 D. (6xy)-9/10=1/(6xy)9/10 4. In a right triangle, find the length of the side not given. B=1,c= 26 The length of the third side is ? (Simplify your answer. Type an exact answer, using radicals as needed.) 5. Simplify by factoring. Assume that all expressions under radicals represents nonnegative numbers. 20a 2b =? (Type an exact answer, using radicals as needed.) 6. 48-16t+t(2)=? (Type N if the trinomial is not factorable.) 7. Evaluate the polynomial for x=-3. 3x(2)-3x+1 When x=-3,3x(2)-3x+1=? (Simplify your answer.) 8. Divide. (28b 3 +13b 2 +26b+26)/(4b+3) Choose the correct answer. A. 7b 2 -2b+8+2/4b+3 B. 7b(2)+2b+8 C. 7b(2)-2b-8-2/4b+3 D. 7b+8 9. Add. (5b(4)-2b(3)+2b(2)+10b-5)+(b(5)+7b(3)+5b(2)-2b+3)+(-8b(4)+b(2)-6b-6) The answer is ? (Simplify your answer.) 10. Find the following. 14 (10)14 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. 14 (10)14 =? (Simplify your answer.) B. The root is not a real number. 11. Find all numbers for which the rational expression is undefined. R(3)-4r/r(2)-16 The numbers for which the rational expression is undefined are ?. (Use a comma to separate answers.) 12.If a pro basketball player has a vertical leap of about 20 inches, what is his hang time? Use the hang-time function V=48 T(2) His hang time is ? seconds. (Simplify your answer. Type an integer or a decimal. Round to the nearest tenth.) 13. Rewrite with a rational exponent. 3 19 3 19 =? (Simplify your answer.) 14. Simplify by taking roots of the numerator and the denominator. Assume that all expressions under radicals represent positive numbers. 3 729x 8 / y 3 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. 3 729x 8 / y 3 =? (Type an exact answer, using radicals as needed.) B. The root is not a real number. 15. omit 16. Divide and simplify. 11w 11 w 1 / 6 15w The answer is ? (Simplify your answer. Use integers or fractions for any numbers un the expression.) 17. Solve. (x+7)(x-16)(x+4)>0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is {xl?} (Use at least one inequality or compound inequality to express your answer. For answers with more than one inequality, separate the inequalities by a comma or the word ‘or’.) b. The solution is all real numbers. c. There is no solution. 18. a(2)+4a+4 a(2)+4a+4=? (Factor completely. Type N if the trinomial is not factorable.) 19. Add (5x(2)-8xy+y(2))+(-8x(2)-5xy-y(2))+(x(2)+xy-6y(2)) The answer is ?. 20. Add. Simplify if possible. 5t t =? t 81 t 9 2 (Simplify your answer.) 21. Factor the trinomial. r 3 2r r 48r The answer is ?. (Factor completely. Type N if the trinomial is not factorable.) 22. Convert to decimal notation. 8.05x10 7 =? (Simplify your answer. Type an integer or a decimal.) 23. Simplify by removing factors of 1. n 2 25 (n 5) 2 The simplified for is ?. 24. Simplify by removing factors of 1. 6 p2 6 p 42 p 2 36 p The simplified form is ? 25. Solve for x. 4x(x-4)-5x(x-3)=0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. x=? (Simplify your answer. Use a comma to separate answers as needed.) B. There is no solution. 26. Solve. 9 x 55 =x+5 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is x=? (Simplify your answer. Use a comma to separate answers as needed.) B. The solution is not a real number. 27. Omit 28. Jack usually mows his lawn in 5 hours. Marilyn can mow the same yard in 7 hours. How much time would it take for them to mow the lawn together? They could mow the lawn in ? hours if they worked together. (Simplify your answer. Type an integer, proper fraction, or mixed number.) 29. Perform the indicated operations and simplify. w 6 w 1 w 40 ? w 8 w 8 w 2 64 30. Omit 31. Television sets. What does it mean to refer to a 20-in TV set or a 25-in TV set? Such units refer to the diagonal of the screen. A 25- in TV set also has a width of 20 inches. What is its height? What is the height of a 25-in TV? ? inches 32. If the sides of a square are lengthened by 7cm, the area becomes 144 cm(2). Find the length of a side of the original square. The length of a side of the original square is ? cm. 33. 16c(2)-81=? (Type N if the binomial is not factorable.) 34. Solve. A(2)+4a-32=0 Select the correct choice below and, of necessary, fill in the answer box to complete your choice. A. The solution(s) is/are a=?. (Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each solution only once.) B. There is no solution. 35. Multiply. 1 1 (b )(b ) ? 4 3 (Simplify your answer.) 36. v 2 4v 32 0 Select the correct choice below and fill in any answer boxes in your choice. A. The solution is v=?. B. There is no solution. 37. Find the greatest common factor for the group of terms. -47a 3 ,7a 5 The greatest common factor is ? 38. Multiply. (5 5 -15 2 )(2 5 +6 2 )=? (Simplify your answer. Type an exact answer, using radicals as needed.) 39. Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax 2 bx c 0 Solution: 10, only solution The equation is ?=0 40. Use the quadratic formula to solve the equation. 2x(2)-5x=-10 The solution set is {?}. (Type an exact answer, using radicals as needed. Express complex numbers in terms of i. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) 41. Solve. 9x 4 18x 2 5 0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is x=? (Simplify your answer. Type an exact answer, using radicals as needed. Rationalize all denominators. Use a comma to separate answers as needed.) B. There is no solution 42. Find the following. Assume that variables can represent any real number. (a 7) 2 =? 43. Simplify. 3 1 8 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 1 A. 3 =? (Simplify your answer. Type a fraction or an 8 integer.) B. The root is not a real number. 44. Multiply (4x+5)(3x 2 +8x+2) The answer is ? 45.(-4m) 2 (2m 7 ) 2 ? 46. 1/v=8/v-1/5 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is ? (Simplify your answer. Type an integer or a fraction.) B. The equation has no solution. 47. Subtract. Simplify, if possible. 6 y 2y 7 ? y 5 5 y (Simplify your answer.) 48. Express using a positive exponent. u 3 =? (Simplify your answer. Type a positive exponent.) 49. Multiply and simplify. 4d 2 3d 12 ? 3d 24 d 48 2 2d (Type exponential notation with positive exponents.) 50. Find the variation constant and an equation of variation where y varies directly as x and y=48 when x=6. The variation constant is k=? The equation of variation is y=? 1 1 1 51. Use rational exponents to write x y z as a 6 5 2 single radical expression. Choose the correct expression below. A. 30 x 5 y 6 z 15 B. 30 (xyz) 26 C. 60 xyz D. 30 xyz 52. Divide and simplify. w5 =? w19 (Type exponential notation with positive exponents.) 53. Use the FOIL method to find the product. (6 x 3 5)( x 9 9) ? 54. Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. F(x)=-2x 2 2 x 2 The x-coordinate of the vertex is ? The y-coordinate of the vertex is ? The equation of the line of symmetry is x=?. (Type a simplified fraction.) The maximum/minimum of f(x) is ? (Type a simplified fraction.) 1 5 The value,f ( ) is ? 2 2 A. Maximum B. Minimum 55. Multiply and simplify. Assume variables represent nonzero real numbers. z z 0 =? 12 (Simplify your answer. Type exponential notation with positive exponents.) 56. Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function. F(x)=1/3(x+2)(2)+3 The vertex is ? (Type an ordered pair.) The line of symmetry is x=? What is the maximum/minimum value of f(x)? ? Is the value, f(-2)=3, a minimum or maximum? A. Minimum B. Maximum 57. Subtract. Simplify by collecting like radical terms if possible. 5 80 6 5 ? (Simplify your answer. Type an exact answer, using radicals as needed.) 58. Factor completely. 81m(2)+25-90m Select the correct choice below and fill in any answer boxes in your choice. A. 81m(2)+25-90m=? B. The expression is not factorable. 59. Subtract the polynomials. (-9w 2 6w 4) (7 w 2 4) ? (Simplify your answer.) 60. Multiply. (w+t)(w 2 wt t 2 ) =? 61. Multiply and simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers. 3 y 7 3 81y 8 =? (Simplify your answer. Type in radical form.) 62. Rationalize the denominator. Assume that all expressions under radicals represents positive numbers. c d ? c d (Simplify your answer. Type an exact answer, using radicals as needed.) 63. Identify the degree of each term of the polynomial and the degree of the polynomial. -9x(3)+2x(2)+8x+4 The degree of the first term is ? The degree of the second term is ? The degree of the third term is ? The degree of the fourth term is ? The degree of the polynomial is ? 64. 112b(2)+392bf+343f(2)=? 65. Use rational exponents to simplify. 5 x 20 Complete the expression. 5 x 20 =x? (Simplify your answer.) 66. Factor completely. 7x(4)-56x(3)+56x(2) The complete factorization is ? (Type your answer in factored form.)

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posted: | 8/2/2011 |

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