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 6390 Final Exam Spring 2017 ID: 14 o T2C0C1k7A AKwuUtCar HSvoHf]towqawrlew NLdLtCZ.J U ]Azl_lW irqixgFhktQsE frzehsCeAryvVefd`. Solve each equation. 1) 6 + 4x - 8 = 8(6 + 4x) - 5(1 + 5x) 7 19 43 2) - x + x = 6 4 4 Solve each inequality, write its solution set in interval notation, and graph the solution set on a number line. 3) -7a - 5a -6(a + 6) - 8(-7 + a) 1 3 47 4) -3 k - 3 > 5 4 4 Solve each compound inequality, write its solution set in interval notation, and graph the solution set on a number line. 5) -33 4n - 5 < -1 4 2 6) -2 < - m 3 3 Write the standard form of the equation of the line described. 5 7) through: (-5, 1), perpendicular to y = - x - 1 4 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) 9x - 2 y = 10 Worksheet by Kuta Software LLC -1- Y A2^0B1o7m cKJuGtoaA TSuoMfltqwnarrHeJ PLxLVCF.] z bAElSl_ ar]i^g_hCtjsy `rXeasxeUrXvVegde.h n cMUaodaez rwkiPtohr EIunrf_iNnKiitNeL gAYlMgLecbFrcao R1_. Show all work as you solve the linear modeling problem below. 9) There were 222 Krispy Kreme Doughnuts stores in the US in 2009 and 253 Krispy Kreme Doughnuts stores in the US in 2013. Write a linear equation in slope-intercept form that models this growth. Let x stand for the number of years after 2009 and let y stand for the number of Krispy Kreme Doughnuts stores in the US. Simplify. Your answer should contain only positive exponents. 3 4 5 10) 4 y 3x y 0 11) 4 -2 4 yx 3x y 4y -1 -3 2 12) (-2x y ) -4 -3 13) x y 2 (-2x 5 3 ) Perform the indicated operation and simplify. 14) (4n 4 + 2n 3 - 8n 2 ) - (5n 3 + 6n 4 - 7n 2 ) Multiply as indicated and simplify. 15) (2v - 2)(3v 2 - v + 4) Solve the equation by factoring. 16) 7a 2 - 27a = 4 Worksheet by Kuta Software LLC -2- ` U2[0x1e7T cKZu\\tuaC wSLoBfGtdwVaXrqeH _LTLYCs.M W rAHlTl` \ [iBgChmtWst xrTevsleJrzvqeSdk.K R RMga\\dWeq PwhiLtchd BIhn[f`ifnSittCea FALlzgSehbIrHa` m1E. Solve the equation by completing the square. 17) v 2 - 18v - 94 = -7 Solve the equation by use of the quadratic formula. 18) 5x 2 - 4x = 2 State the excluded values for the following expression. Then simplify the expression. b 2 + 15b + 50 19) 4b 2 + 20b Solve the equation and show the check of the potential answer(s). If any answers are excluded values, state this on your answer sheet. x + 3 x 2 + 9x + 18 1 20) = 2 + 2 x - 2 x + 3x - 10 x + 3x - 10 Simplify the radical expressions. 21) 22) (- 2 - 3)( 2 + 4) 20x 4 y 3 z 4 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) -3 = -r + 33 - 4r Worksheet by Kuta Software LLC -3- b Y2Z0b1_7X eKhuQtlaS GSdoUfitSw^aRrmeT BLDLgCv.^ T fASlNld ErYiGg]hVt[sW _rSels`eTrRvzeBdz.F i ZMdandieL tw`iGtjhG sIwn\\fbiFnristzel XAQlNgoeXbNrFaX _1J. Show all work as you solve the following problems and write complete answers, including appropriate units. 24) Mark left the movie theater and traveled toward his cabin on the lake. Ryan left three hours later traveling 33 mph faster in an effort to catch up to him. After two hours Ryan finally caught up. What was Mark's average speed? 25) Patrice put $42,000 in an education account on the day her daughter was born. If the account earned 5.45% 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- Y Y2z0Y1a7f aKTuBtraZ rSJowfwtTwKanrge^ RLWLACi.G K fAblalN OriidgFhMtasC qr^eisvefrMvIeEd\\.[ s _Mwahdcen `wwiftYhP IIqnMffinnBiwtReE zAqlOgTeEbYrfa[ u1N