Math 012 7982 Final Exam Spring 2016 ID: 48 B H2Q0f1Z6x CKnujtgaD HSyomfitZwxaxrXet eL[L]CT.i l QAllGlF crviagAhXtUsH Wr[exsKefr_vVezdy. Solve each equation. 1) 6( x - 8) = -2(4 - 4x) + 2x 2) 8 5 4 =- n+ n 3 3 3 Solve each inequality, write its solution set in interval notation, and graph the solution set on a number line. 3) 7x - 4(-6 + 4x) -2(2x - 2) - 7x 4) - 2 2 44 -1 n< 3 3 9 Solve each compound inequality, write its solution set in interval notation, and graph the solution set on a number line. 5) -1 2k + 3 1 6) - 88 16 8 - r15 5 5 Write the standard form of the equation of the line described. 2 7) through: (-2, 5), perpendicular to y = x - 3 7 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) 10x - 3 y = -15 Worksheet by Kuta Software LLC -1- O A2z0X1E6L dKWurtCaY NSjo_fGtUwfacrFen LLHLICo.r E hAEljlF sr]iVguhWtvsI crle[szevrCvOeQdw.L t vMIaTd[eS Ww_i]txhV TIHn_fbinnpi]tSer bAclNgzenbur\\aN k1q. Show all work as you solve the linear modeling problem below. 9) There were 273 Whole Foods stores worldwide in 2008 and 337 Whole Foods stores worldwide in 2012. Write a linear equation in slope-intercept form that models this growth. Let x stand for the number of years after 2008 and let y stand for the number of Whole Foods stores worldwide. Simplify. Your answer should contain only positive exponents. 5 0 4 4 10) 3a b 5a b 0 3 11) 4x y 4 3 y 4 yx 2 -4 -2 12) (-2x y ) 0 -3 13) 2m n 3 -2 -4 5 (m n ) Perform the indicated operation and simplify. 14) (6 - k - k 4 ) - (4k - 3k 4 + 2) Multiply as indicated and simplify. 15) (4x - 3)(3x 2 - 3x + 2) Solve the equation by factoring. 16) 10n 2 = -5 + 27n Solve the equation by completing the square. 17) n 2 + 22n + 97 = 8 Worksheet by Kuta Software LLC -2- x A2u0c1l6V eKyu^tOa` kSKo\\fat`wXaErCeO QLILKCr.T Q jAplElQ srnipgqhCtQs[ Rr_eBszeQrKvweidT.D O WMtaFd]eN ewCiRtvhK MIonHfzi`nhiqt[eo nAVl`gAeAbFrVav d1V. Solve the equation by use of the quadratic formula. 18) 3x 2 + 2x = 9 State the excluded values for the following expression. Then simplify the expression. 19) 2k + 2 k - 4k - 5 2 Solve the equation and show the check of the potential answer(s). If any answers are excluded values, state this on your answer sheet. 20) 6 3 =1 2 2m - 3 2m - 7m + 6 Simplify the radical expressions. 21) 27x 4 y 3 z 3 22) (-2 2 - 2 3 )( 2 + 3) 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) -r + 56 - 2r = -4 Worksheet by Kuta Software LLC -3- P J2g0Y1v6G kK^uut`aa ISKoZf\\tMwKaSrFeN ^LaLQCV._ A FA_lblC QrkifgwhBtEsr XrMeksjeurIvaepdG.E C yMsaFdsef gwEietIhC OIhnxfdipnci[tleT _ATlQgZe]bOrlaZ [1b. Show all work as you solve the following problems and write complete answers, including appropriate units. 24) Ryan left the hospital and traveled toward the capital at an average speed of 20 mph. Joe left three hours later and traveled in the same direction but with an average speed of 50 mph. How long did Ryan travel before Joe caught up? 25) Rebecca put $35,000 in an education account on the day her daughter was born. If the account earned 8.15% interest compounded monthly, 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- p B2W0F1T6f RKcuOttaT wStoIfht]wkaSrseJ YLZLdCE.p N jAMlHl_ frHiDgEhTtqsK Vrcezs[edrzvperdT.J S WMIahdmeJ swsintGhg UIrn\\fSiknAiMtQey sAXlngkefbQr^aF V1_