MA 153 Exam 1A Fall 200211. Rewrite the following without the absolute value and simplify.-3()5 +-9A. -12B.42C.12D. - 42E. None of the above2. Simplify. Do not leave negative exponents in your answer.3x-4()-2x6()12x-9A. -12x7B. - 8x11C. -12x15D.x118x4E. -x1123. Simplify. Do not leave negative exponents in your answer.-4x0y-3z6()2A.x2z816yB.16z12y6C -4 x2z8yD. -8z12y6E. None of the aboveMA 153 Exam 1A Fall 200224. Simplify completely.15x5y7()5x3y5()A.2x7y175xy()B.5x4y63()C.2x4y65xy()D.2x4y65()E.5x7y173xy()5. Divide and express as a polynomial.8a6b2-16a12b7+ 12a6b64a3bA.8a3b2- 4a7b7+ 12a6b6B.2a2b2- 4a4b7+ 3a2b6C. a21b14D.2a3b -16a12b7+ 12a6b6E. None of the above6. Multiply and express as a polynomial.3x - 5y()2A.9x2-15xy + 25y2B.9x2- 25y2C.9x2- 30xy + 25y2D.3x2- 5y2E. None of the above7. Which of the following is a factor of 16y4- 81?A.4y - 3B.2y - 9C.4y + 9D.2y + 3E. None of the aboveMA 153 Exam 1A Fall 200238. Simplify completely.2x + h-2xhA. -2xx+ h()B.1xx+ h()C.2h2xx+ h()D. -1x + hE. None of the above9. Rationalize the denominator and simplify.m - 5m+ 3A.m -15m + 9B.m - 25m + 9C.m - 8 m+ 15m - 9D.m +15m - 9E.m - 2 m-15m + 310. Solve for x.4x2-17x + 15 = 0A. x =-34, x = 5B. x =32, x =52C. x =-15, x =12D. x =54, x = 3E. None of the aboveMA 153 Exam 1A Fall 2002411. Solve the following equation. Choose the answer that best describes the solution(s).76 x + 3()+56 x - 3()=2x -1x2- 9A. There is only one solution. It is between 1 and 2.B. There is only one solution. It is x = 0.C. There is only one solution. It is between 0 and 1.D. There is no solution.E. All real numbers are solutions except x =±3.12. Solve W =3n + pn for n.A. n =3 + pWB. n =W + 3pC. n =3W + pWD. n =W - 3pE. n =pW - 313. A workman has a basic hourly wage and earns time and a half (his hourly wage plus another halfof that wage) for hours worked in excess of 40. His paycheck for one week was $750 and heworked a total of 48 hours that week. If x represents the basic hourly wage, write an equationthat would be used to find x. Do not solve.A. x +1.5x = 750B. x +1.5 48 - x()= 750C.40x +12x = 750D.40x + 4 x = 750E.40x + 60 48 - x()= 750MA 153 Exam 1A Fall 2002514. A boat travels at a constant rate of 8 miles per hour in still water. It travels upstream for 34 of anhour. It then turns around and travels downstream, returning to the starting point, in 12 of an hour.Find the rate of the current.A.85 mphB.54 mphC.32 mphD. 10 mphE. None of the above15. A conference table is to be constructed in the shape of a rectangle with two equal-sized semicircleson either end (see the figure). Let x represent the length of the rectangle. The diameter of eachsemicircle is 7 feet and the total area of the table is to be 110 square feet. Find the equation thatwould be used to find x. Simplify the equation. Do not solve the equation.xA.8x + 49p= 384B.7x + 49p= 110C.7x + 7p= 440D.28x + 49p= 440E.2x + 7p=
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