Math 012 7380 Final Exam Summer 2016 ID: 15 h Z2H0_1i6Q nKTubtiaY NS]oifYtmwiakrIeV SLBLmCB._ k SAklmlv Arpi[gmhttos\\ QrpeOsPeYrHvHegdk. Solve each equation. 1) -6 - 2(4 + 7m) = -4(3m + 6) 2) 1 85 x + 2x = 2 12 Solve each inequality, write its solution set in interval notation, and graph the solution set on a number line. 3) 5 + 3(n + 2) < -(1 - n) 1 2 41 4) -2 v + 1 > 4 3 6 Solve each compound inequality, write its solution set in interval notation, and graph the solution set on a number line. 5) 10 < 6 p - 2 40 6) - 3 2 1 - x10 5 5 Write the standard form of the equation of the line described. 4 7) through: (-4, -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) 2x - 5 y = 5 Worksheet by Kuta Software LLC -1- ^ D2S0`1P6W mKquItEal rSPoxfat]wYaXrAeI PLZLkCL.c d RAclvly BrhiggxhitKsH rrCensGe\ NvveNd`.C y nMxaYdcex nw[iytzhX nIHnIfzirnRiYtMeZ hAhlcgueUblrgax M1e. Show all work as you solve the linear modeling problem below. 9) There were 5474 CVS stores in the US in 2005 and 7511 CVS stores in the US in 2012. Write a linear equation in slope-intercept form that models this growth. Let x stand for the number of years after 2005 and let y stand for the number of CVS stores in the US. Simplify. Your answer should contain only positive exponents. 4 3 10) 4x y 3 y 4 4 3 11) 2u v 3 4 3 4vu u v -2 3 -3 12) (3x y ) 3 -5 4 13) -2 y (-x y 3 ) Perform the indicated operation and simplify. 14) (4n + 7n 2 + 2n 3 ) - (5n - n 3 + 8n 2 ) Multiply as indicated and simplify. 15) (7n - 5)(5n 2 - 2n - 6) Solve the equation by factoring. 16) 5a 2 + 12a = 32 Solve the equation by completing the square. 17) m 2 - 16m - 95 = -12 Worksheet by Kuta Software LLC -2- g ]2N0i1V6M _KYuvtuaa wSrozfUt^wUaurxeB fLsLeCb.b V UAYlnlg YrBingmhftgs[ qrTeusXekrivqeTd^.e b GM_aPdFex LwIietlhr RIYnZfxibnDi`t`eH ]AJlOgBeLbSrcaA a1Z. Solve the equation by use of the quadratic formula. 18) 4k 2 - 5 = -2k State the excluded values for the following expression. Then simplify the expression. 19) r 2 - 5r - 36 6r + 24 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) b-6 1 =1+ b - 7b + 10 2b - 4 2 Simplify the radical expressions. 21) 392x 3 yz 2 22) (-2 5 + 3 )(2 5 - 4 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) x = -2 + 2x + 3 Worksheet by Kuta Software LLC -3- a N2O0w1G6c mKjuXtVaX nSjoefEt\\wOafrke[ bLoLuC\\.d P ^AZlMl] OrLiVgYhMtLsf FrleGsNeSrRvueZdy.z Z xM`aXdpeN sw_iktQhP RI]nzfPitnmi`tteZ FAolygee`bcr_ay G1M. Show all work as you solve the following problems and write complete answers, including appropriate units. 24) Mark left Pranav's house and traveled toward his friend's house. One hour later Stefan left traveling 10 km/h faster in an effort to catch up to him. After three hours Stefan finally caught up. What was Mark's average speed? 25) Rebecca put $24,000 in an education account on the day her daughter was born. If the account earned 6.45% 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- r ^2M0f1p6k hK\\u`twa] mSqobfltywXaVrmeh uLVLeCx.^ w mA`lxle KrAiygDhBtIs_ vrzewsKeerevjeNdh.\\ t EM^axdgeS qw^iDtyhB nIVnMfniknQiytueT NALlYgQeBbyrwaQ w1S