Proble m Number Solution WORK: 1 ANSWER: WORK: 2 ANSWER: 3 WORK: ANSWER: WORK: 4 ANSWER: WORK: 5 ANSWER: WORK: 6 ANSWER: WORK: 7 ANSWER: 8 Use the \"drag and drop\" line and points to graph your line. WORK: ANSWER: WORK: 9 ANSWER: 10 WORK: ANSWER: WORK: 11 ANSWER: WORK: 12 ANSWER: 13 WORK: ANSWER: WORK: 14 ANSWER: WORK: 15 ANSWER: WORK: 16 ANSWER: WORK: 17 ANSWER: WORK: 18 ANSWER: WORK: 19 ANSWER: WORK: 20 ANSWER: WORK: 21 ANSWER: WORK: 22 ANSWER: WORK: 23 ANSWER: WORK: 24 ANSWER: WORK: 25 ANSWER: Math 012 6388 Final Exam Fall 2016 ID: 18 L o2Z0I1L6\\ gKLuAtCap FSNosfKt[wzazrIeA \\LRLUCp._ n EAilBlz br[iGgnhotKs[ arIexsHe_rsvseFdn. Solve each equation. 1) 2 + 3( x + 4) = 3(1 + 3x) - 7x 2) 3 5 r + 2 + 2r = 2 2 Solve each inequality, write its solution set in interval notation, and graph the solution set on a number line. 3) 2(4 - 8x) > -3(8x - 8) 4) -r - 1 1 1 2 6 Solve each compound inequality, write its solution set in interval notation, and graph the solution set on a number line. 5) -23 4a + 5 < -7 6) - 3 3 3 - x4 4 8 Write the standard form of the equation of the line described. 3 7) through: (3, -2), perpendicular to y = - x - 5 2 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 = -12 Worksheet by Kuta Software LLC -1- H i2i0P1m6` QKJuttOaQ bSVoLfetywKalrpe\\ pLsLPCM.[ u TAil[lY `rii`gah^t]s^ rr^eTsdeqrevgeLdg.o Y HMnaadPek PwciitDhQ rIjnff]iqnoiMtfen sAClMg]e\\bdrnax S1N. Show all work as you solve the linear modeling problem below. 9) There were 6301 CVS stores in the US in 2007 and 7506 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 2007 and let y stand for the number of CVS stores in the US.. Simplify. Your answer should contain only positive exponents. 2 4 10) 4mn 5m n 2 11) 4 y 4 yx - yx 2 -3 3 12) (2m n ) 2 4 -2 4 5 13) (-u v ) (-2u -1v 0) -1 Perform the indicated operation and simplify. 14) (3n 2 - n 3 - 4) - (4n 4 - 5 - 4n 3 ) Multiply as indicated and simplify. 15) (8b - 2)(2b 2 + 4b - 1) Solve the equation by factoring. 16) 7n 2 - 20n = 3 Solve the equation by completing the square. 17) v 2 - 10v - 37 = 6 Worksheet by Kuta Software LLC -2- P e2z0A1q6w WKHuxtnaB pSRokfPtgwiaSrMeg zLLLoCx.Y N JApltll DrOiOgXhwthsf zrieesAe\ ]vjevd^.J R GMtaidOey KwbiItPhn BI\ ZfHiNnJietcem gAylHgfeWbqryaz X1X. Solve the equation by use of the quadratic formula. 18) 5x 2 - 3 = 4x State the excluded values for the following expression. Then simplify the expression. 19) r 2 + 5r - 6 r 2 + 15r + 54 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) x2 x+2 1 = 2 2 x - 6x + 9 x - 3 x - 6x + 9 Simplify the radical expressions. 21) 252x 4 y 3 z 3 22) ( 2 + 2 5 )(- 2 + 5) 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) k = 2 + 2k - 1 Worksheet by Kuta Software LLC -3- y R2\\0U1h6G xKcuKtwas iSAozfotpwVafrkeH [LjLVCu.X T PAFlnlB drriEgHhAtJso [rFeLsNevrKvqehdn.w w yMJa[dYex ^wwiItvhn _IWnEfbiqnAiktzeA ZAulIgmeqbZr^aW w1K. Show all work as you solve the following problems and write complete answers, including appropriate units. 24) Abhasra left the hospital and traveled toward the lake at an average speed of 40 mph. Nicole left one hour later and traveled in the same direction but with an average speed of 50 mph. Find the number of hours Abhasra traveled before Nicole caught up. 25) Rebecca put $24,000 in an education account on the day her daughter was born. If the account earned 7.55% 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- a l2Z0U1h6E aKUuKtTaD oSxobfgt\\wtaSrSev NLwLJCF.w n OAvlclI `r[inguh^tDst frfefsSeQrkvHefdI.s J kMJaqdjeB YwciDtDhl oIqnzfOiJnui[tqeH eAZl]gtePbnrTar G1d