Math 012 7982 Final Exam Spring 2017 ID: 40 c [2Q0m1Y7G NKYuAtzaI [S]o^fytewta]rBeB BLNLcC\\.l K ]AMlsl` YrqiOgYhEtqsq ]rbersRetr`vWendC. Solve each equation. 1) 5(5m + 8) = -1 - 6(6 - 6m) 2) - 17 1 8 = v- v 21 3 7 Solve each inequality, write its solution set in interval notation, and graph the solution set on a number line. 3) 2(n - 5) -8(n + 5) 1 1 79 4) -3 r - 1 < 2 4 10 Solve each compound inequality, write its solution set in interval notation, and graph the solution set on a number line. 5) 3 3x - 3 < 15 6) - 18 9 9 - v5 5 10 Write the standard form of the equation of the line described. 7 7) through: (3, 2), perpendicular to y = - x - 2 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) 3x - 4 y = -20 Worksheet by Kuta Software LLC -1- a c2E0R1s7e ^Kiubtea] mSDohfdtCwWaBrVe] iL`LBCf.i g gAWljlW arciSgFhdtfsl IrDeisYemrivqeJdC.d T NMXaod[eB PwfiqtTha XIPnGfhiOnti`tLeB NAZlyg`enblrYab B1W. Show all work as you solve the linear modeling problem below. 9) There were 337 Krispy Kreme Doughnuts stores in the US in 2003 and 224 Krispy Kreme Doughnuts stores in the US in 2008. Write a linear equation in slope-intercept form that models this decline. Let x stand for the number of years after 2003 and let y stand for the number of Krispy Kreme Doughnuts stores in the US. Simplify. Your answer should contain only positive exponents. 0 4 5 5 5 10) 3x y 3x y x y 2 -3 11) 2u v -2u 3 3 -2 -u v -3 2 -3 12) (2x y ) 2 -2 13) 2x y 3 0 5 (-x y ) Perform the indicated operation and simplify. 14) ( x 4 - 6x 2 + x 3 ) - (8x 4 - 2x 3 + 6x) Multiply as indicated and simplify. 15) (4n - 2)(6n 2 + 8n - 8) Solve the equation by factoring. 16) 7n 2 = -4 - 29n Worksheet by Kuta Software LLC -2- R K2U0k1H7i sKfuhtLam LSMoifdtbwXaXrheA jLcLWCc.j C QAFlulj ArniVgbhxtYsM prHeMsuefrEvxeVd\\.L C rMjaGdbeJ YwKihtLhY mIVnDfNiqnvimtVeW wAKlygXeXbEriaQ k1I. Solve the equation by completing the square. 17) x 2 - 4x - 142 = 2 Solve the equation by use of the quadratic formula. 18) 5x 2 = 2 + 2x State the excluded values for the following expression. Then simplify the expression. b 2 + 10b + 9 19) 2 b + 4b - 45 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) n+4 1 n+5 = 2 + n - 2 n - 7n + 10 n - 2 Simplify the radical expressions. 21) 28x 3 y 4 z 4 22) (-4 2 + 1)( 2 + 1) 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) -m + 28 - 4m = -7 Worksheet by Kuta Software LLC -3- B V2A0F1P7] dKQuCtUa[ CSOoLffthwJaBrOeX uLoLoCp.z \\ QAXlBlh vrjiFgChwtlsM XrfeosYeLrNvfeddk.o Y tMgaBdmeN KwaistxhK TIZnEfMitnKiotRew xAclDgIeYbprOap o1T. Show all work as you solve the following problems and write complete answers, including appropriate units. 24) Jessica left home and traveled east. Tom left one hour later traveling 15 km/h faster in an effort to catch up to her. After three hours Tom finally caught up. Find Jessica's average speed. 25) Patrice put $54,000 in an education account on the day her daughter was born. If the account earned 4.85% 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- H h2l0E1o7F cKSuDtgas USeojfMtzw_aGrZe[ VLbLHCL.X k hAmlGl` lryipgPhGtmso nrEensieorZvmeCdx.K s qMAaYdhec ywLidtxhx FIDnafRiHnvivtaep LAFlzgmeFbur\\aw K1j