©x D2f0`1K5u DKFuHt^ap QSoogfutXwSaprsen ILRLyCw.K b EAmlMl^ PrniKgRhmtssT Jrfeks]eBrHvNeida._ a _MpaJdyeN vwyihtxhi YIPn]ftijndiQtMeU vAblRgIefb`rva] g1Y. Worksheet by Kuta Software LLC Math 012 7983 Final Exam, Fall 2015 ID: 33 ©v r2x0l1x5l HKwu[tyaN ASoowfVt^w`adrBeR QLZLxCY.D i rAblOls qr`iPgihetBsO urgeJs[e`ryvWeId. -1- Solve each equation. 1) -4(8 + 8 p) = -5(8 p + 1) – p 2) – 1 2 m – 7 3 m = 85 12 Solve each inequality, write its solution set in interval notation, and graph the solution set on a number line. 3) -(1 + 4r) – 5 > -5(r + 1) 4) – 5 3 v + 1 £ 8 3 Solve each compound inequality, write its solution set in interval notation, and graph the solution set on a number line. 5) 11 £ 4k + 7 < 19 6) – 3 5 £ – 6 5 x < 8 5 Write the standard form of the equation of the line described. 7) through: (5, -2), perpendicular to y = – 5 3 x + 1 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) 4x + 3y = 12 ©y n2R0k1F5V AKbuetIan YSKoRfStowUaZrmem _LkLnC[.Z c HAVlOlW wrPiWg^hittsk FrHepsAeor_veWdi.[ T QMOaLdte^ _wwijtkhf SIJnPfgiknLiVtnem qAklIgaekb`rRaz D1J.Worksheet by Kuta Software LLC -2- Show all work as you solve the linear modeling problem below. 9) There were 6205 CVS stores in the US in 2006 and 7249 CVS stores in the US in 2010. Write a linear equation in slope-intercept form that models this growth. Let x stand for the number of years after 2006 and let y = the number of CVS stores in the US. Simplify. Your answer should contain only positive exponents. 10) 3m 5 × 4m 2 n 3 × 4m 3 n 3 11) – 2u 4 v -1 3u 4 v 4 × -4u 3 v -3 12) (-3x 2 y -1 )-3 13) u -4 v -2 × (2u -4 )-5 Perform the indicated operation and simplify. 14) (5m 2 + 5m 3 – 5) – (2m 4 – 5 – 6m 2 ) Multiply as indicated and simplify. 15) (5x – 4)(2x 2 – 7x + 8) Solve the equation by factoring. 16) 3x 2 + 32x = -64 Solve the equation by completing the square. 17) b 2 – 6b – 6 = -7 ©x N2I0E1s5H pKUuVtGa^ JSgo_fatJwAaFrceD XL[L[Co.i U [AFlLl XrFidgShSt`sC cr^ensXezrQvseadw.S u eMraWdCey GwdiftDhh iIznAfzikneitge^ uAOlYgoeTbKrPav P1M. Worksheet by Kuta Software LLC -3- Solve the equation by use of the quadratic formula. 18) 4x 2 – 9 = 2x State the excluded values for the following expression. Then simplify the expression. 19) x 2 + 7x + 6 x 2 – 9x – 10 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) 1 n – 1 + n 2 – 7n + 12 n 2 – 7n + 6 = n – 4 n – 6 Simplify the radical expressions. 21) 32x 4yz 3 22) ( 5 – 2)( 3 + 2) 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) n = 4n – 28 + 6 ©Y O2_0v1v5y NKquttMaj sSuo`frtswKaUrMec KLzLvCm.C e _AYlxlv RrLiXgFhqtesX UrAeIsceKravBe^dp.o k XMbaEdTeH Uwdidtchu mIMnGfLiOntiCtle^ oAblBgGetbcraY k1J. Worksheet by Kuta Software LLC -4- Show all work as you solve the following problems and write complete answers, including appropriate units. 24) A jet left Nairobi and flew west at an average speed of 315 mph. A passenger plane left one hour later and flew in the same direction but with an average speed of 378 mph. Find the number of hours the jet flew before the passenger plane caught up. 25) Rebecca put $39,000 in an education account on the day her daughter was born. If the account earned 6.55% interest compounded monthly, what was the total in the account when her daughter turned 18? Round the final answer to the nearest cent.
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