MA 153 Exam 1A Fall 200311. Given that † x < 0, † y > 0, and † z < 0, which of the following values must be positive?† A. x xyzyB. xy x2+ yzzC. yz y2zD. x2yzzE. More than one is positive2. Simplify.† -2( )-3+ 32† A. 738B. 15C. 1D. -1E. 7183. Simplify.† 4 x-5y2z0( )3x3y4z-7( )6z-5† A. 2y6x2z2B. 2y8x15z5C. 2y8x15D. 2x2y6z2E. None of the aboveMA 153 Exam 1A Fall 200324. Multiply and express as a polynomial.† 2x + 3( )x2- 4 x +1( )† A. 2x3- 8x2+ 2x + 3B. 2x3+ 3x2- 8x + 2C. 2x3- 5x2-10x + 3D. 2x3+ 6x2-10x + 2E. None of the above5. Simplify.† 15a-3b4cÊ Ë Á ˆ ¯ ˜ -3† A. -3a95b12c3B. 125ba6c3C. -3b5a6c3D. 125a9b12c3E. None of the above6. Rationalize the denominator and simplify the result.† 2x23xy3† A. 6xy3y2B. 2x3y3C. 2xyD. 4 x29y6E. 23y3MA 153 Exam 1A Fall 200337. Which of the following is a factor of † 12x2+16x - 3?† A. 3x +1B. 12x -1C. 2x - 3D. 4 x + 3E. 6x -18. Which of the following is a factor of † 81x4-16y8?† A. 81x -16y2B. 3x2- 2y4C. 81x2+16y4D. 3x + 2y2E. 9x2+ 8y49. Simplify. † 3x +1( )2x2- 7x +12÷9x2-1x - 4† A. 1x + 3B. 3x +1x - 3( )3x -1( )C. 3x +1x - 3D. 1x - 3E. 3x -1x - 3( )3x +1( )10. For what value of † c is the number † x = 3 a solution of:† 4x - c 5 - 2x( )= cx - 4† A. c = -13B. c = 8C. c = 4D. c =193E. None of the aboveMA 153 Exam 1A Fall 2003411. Solve † 1w=1p+1h for † w.† A. w =ph2B. w =12C. w =h + pphD. w =phh + pE. w = p + h12. Solve the following equation for † x. Choose the answer that best describes the solution.† 32x -1=5x + 4† A. x is between 1 and 2B. x is between 2 and 3C. x is between 3 and 4D. There is no solution for x. E. All real numbers are solutions except x = 0,-1, and 1. 13. Simplify.† 4xx - 3- 2x -9x† A. 4 x - 2x + 3( )x - 3( )B. 2xx - 3( )2C. 4 x - 2x + 3D. 2x - 3E. 2xx + 3( )x - 3( )MA 153 Exam 1A Fall 2003514. A grocer wants to market a new blend of coffee by mixing Mocha beans with Brazilian beans. Heis going to make 100 pounds of the blend and sell it for $3.90 per pound. The Mocha beans sellfor $2.75 per pound and the Brazilian beans sell for $5.00 per pound. How many pounds of theMocha beans should be used to create the blend? Round your answer to the nearest tenth of apound.† A. 34.7 poundsB. 48.9 poundsC. 50.3 poundsD. 78.0 poundsE. None of the above15. A man goes to a car dealer to buy a used car. The car he is interested in is on sale for 5% off thesticker price. As he looks the car over, he notices a small dent near the bumper. The salesmanoffers to deduct another 20% off after the 5% reduction. The man pays $8500 for the car. If † xrepresents the sticker price of the car, find the equation that would be used to find † x.† A. 0.76x = 8500B. 0.25x = 8500C. 1.26x = 8500D. 1.25x = 8500E. 0.75x =
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