Math 012 4050 Final Exam Spring 2017 ID: 31 z o2F0U1i7R \\KRultoaW NSWoYfCtCwPaBrFeI kLzLqCt.G z tAllxld rrTiYgLhmtPs] vrmeCsaeyryvreSd[. Solve each equation. 1) -3n + 3(2n - 7) = 8n - 7(5 + n) 2) 11 11 11 n- n=4 3 48 Solve each inequality, write its solution set in interval notation, and graph the solution set on a number line. 3) -(v - 3) + 2(5v + 5) > 7v - 7 + v + 5 4) 1 3 23 - x 4 2 4 Solve each compound inequality, write its solution set in interval notation, and graph the solution set on a number line. 5) -2 2 + 2k < 4 6) - 15 5 1 - n8 4 4 Write the standard form of the equation of the line described. 2 7) through: (4, 1), perpendicular to y = - x + 4 3 Rewrite the equation in slope-intercept form and then use the slope and y-intercept to sketch a graph of the line with the given equation. 8) x + 2 y = 10 Worksheet by Kuta Software LLC -1- M d2G0v1t7] IKYuLtvab bSnovfAtEwYaUraeG ILsLeCY.Q q CAKlKlr ]r`iVgThAtMsC ]rbeTsrekryvSetdw._ _ ZM`a`dQel SwQiotVhC HIvnCfUiHnDiLtYeh LAelugmefbHrCaj o1^. Show all work as you solve the linear modeling problem below. 9) There were 229 Krispy Kreme Doughnuts stores in the US in 2001 and 345 Krispy Kreme Doughnuts stores in the US in 2005. Write a linear equation in slope-intercept form that models this growth. Let x stand for the number of years after 2001 and let y stand for the number of Krispy Kreme Doughnuts stores in the US. Simplify. Your answer should contain only positive exponents. 5 0 10) 4m n 2n 3 11) - 2vu 2 4 2u v 3v -1 2 -3 12) (4x y ) 4 -4 13) 2x y -2 -2 (- y -4v 4 4 3 ) Perform the indicated operation and simplify. 14) (n + 6n 4 - n 2 ) - (8n + 6n 3 - n 2 ) Multiply as indicated and simplify. 15) (5r - 2)(6r 2 - r - 6) Solve the equation by factoring. 16) 3v 2 = -16 + 26v Worksheet by Kuta Software LLC -2- A Q2_0j1^7G rKPuKtFah dSGosfYtDw[axrleQ HLoLZCF.G I cAslvl^ LraiIgmhStps` VrKeesOeRravMesdu.J N ]MnapdneR twriOtbhh oIanyftiFnfixt[eH HAIldgselbFrbaw ^1Q. Solve the equation by completing the square. 17) x 2 + 6x - 51 = -10 Solve the equation by use of the quadratic formula. 18) 3x 2 = 8 + 4x State the excluded values for the following expression. Then simplify the expression. x 2 - 7x - 8 19) 2 x + 7x + 6 Solve the equation and show the check of the potential answer(s). If any answers are excluded values, state this on your answer sheet. 6 p2 + 6 p + 9 20) 1 = 2 - 2 p - 2p - 3 p - 2p - 3 Simplify the radical expressions. 21) 125 pq 4 r 3 22) ( 3 + 3)(-4 3 - 4) Solve the equation and show the check of the potential answer(s). If any answers are extraneous solutions, state this on your answer sheet. 23) 7 + 29 - 2n = n Worksheet by Kuta Software LLC -3- r g2o0u1L7o aKpuAtoaY QScodfUtbwJaxrQev ILlLcCd.y v FArlqlM SrBiAgMhQths^ ArievsteDrUvUerd_.h f pMWamd[ec LwVivtshB eIhnufJilnLiFtsei rAvlMgTeNborTaU t1I. Show all work as you solve the following problems and write complete answers, including appropriate units. 24) Heather left the hardware store and drove toward her friend's house. One hour later Adam left driving 15 km/h faster in an effort to catch up to her. After two hours Adam finally caught up. What was Heather's average speed? 25) Patrice put $52,000 in an education account on the day her daughter was born. If the account earned 6.25% interest compounded quarterly, what was the total in the account when her daughter turned 18? Round the final answer to the nearest cent. Worksheet by Kuta Software LLC -4- [ I2d0o1v7A LKYuptga] USkoEfhtawqavrbeP [LoL[C^.S q yAQlAl_ FrNibgbhXt[si _rheLsLevrQvceTdn.G W ]MLaVdDec zwfiOtdhi wIZnOf[iNniiVtne` `Allbg^eTbMrjat V1w