Math 009 7981 Final Exam, Spring 2017 ID: 33 t X2[0C1i7j nK`uutwaY [SLoJfdtNwKaQrfeM ]LtLMCh.X X aAQlClj krTiBgThYtHsk nrCeosGeBrHvSeUdM. Follow order of operations to simplify the following expression: 1) 92 - (7 - (-5)) 6 Evaluate the expression using the values given for the variables. m + n2 2) - m; use m = -4, and n = -7 3 Simplify the expression. 3) 4( x - 4) - 7(2x + 7) Simplify the expression and write your answer as a fraction in lowest terms. ( ) ( )( ) 4) - 1 9 10 - - + 2 5 7 Use a proportion to set up and solve the following problem. Round your answer to the nearest tenth if necessary. 5) An adult elephant that is 7.9 ft tall casts a shadow that is 14.2 ft long. Find the height of a telephone booth that casts a 12.2 ft shadow. Worksheet by Kuta Software LLC -1- O H2i0T1o7h xKiu[tYaD GSyolfntxweaerFes LLnLyCr.j K RAGlIlG xrjiIgnhotfsp JrjeMsgepr^vCefdr.H h nMEa\\d_et xwRijtnhW WIXnCfliGneibteeT SPOrkeF-TAwlfgNezbwrRau. Set up and solve an equation to answer the question below. Round your answer to the nearest tenth of a percent if necessary. 6) What percent of 80 is 66? Find the percentage change. Round to the nearest tenth of a percent if necessary and state whether the change is an increase or a decrease. 7) From 70 grams to 82.5 grams Find the final price of the item below, given that the tax will be applied to the discounted price. 8) Original price of a bicycle: $450.00 Discount: 35% Tax: 1% Use simple interest to find the ending balance, given the following values for principal, rate, and time. 9) $41,100 at 5.3% for 8 years Solve the equation given in #10. 10) 5 + k =7 4 Solve the equation given in #11. 11) 4(7k - 6) - 2(k - 8) = -34 Solve the equation given in #12. 12) - 15 12 27 n+ n= 4 5 10 Worksheet by Kuta Software LLC -2- h _2j0N1J7F nKUuNtJah aS\\oLfotdw^alrZen lL]LYCI.C V KAGl[lO ErlibgShatis^ CrFexsweNrUvFe\\dE.G B bMZa[dIeZ cwui\\tphT hIdnafKiBnEietxex QPMrgeq-qAIldg^eGbhrcaW. Solve the equation given in #13. 13) 4.87 + 4.1x = 1 + 5x Solve the inequality in #14, write its solution set in interval notation, and graph the solution set on a number line. 14) -10 + 8x 110 Solve the inequality in #15, write its solution set in interval notation, and graph the solution set on a number line. 15) -4( p - 1) > -2(1 + p) Find the slope of the line. Assume that the scale on each axis is 1 unit per tick mark. 16) y x Find the x- and y-intercepts of the line represented by the equation below. Plot both intercepts on a coordinate system and draw the line through them. 17) 3x - 4 y = 12 Write the slope-intercept form of the equation of the line through the given points. 18) through: (-4, -5) and (4, 4) Worksheet by Kuta Software LLC -3- N b2n0M1G7` OKmuStAay ISGojf^tNwSaprneB rLCLICm.u U BADlola urUiLgmhJtosj YrueAszezrdvAecdU.I K UMjaPdqe^ mwJiDtuhl TIAnof`ignKietHeB PPMr\\e]-zAdljg\\efbOrEa`. Find at least three ordered pairs that satisfy the equation and sketch the graph of the line through them. 19) 0 = 15 - x - 5 y Solve the system of equations by the method of substitution. 20) y = 7x -4x + 2 y = 20 Write the point-slope form of the equation of the line described. 6 21) through: (-5, 5), parallel to y = - x + 4 5 Write the slope-intercept form of the equation of the line described. 3 22) through: (2, -5), perpendicular to y = - x + 1 2 Solve the system by graphing both lines on one coordinate system. 23) 3x + 2 y = 2 x- y=4 Solve the system of equations by the method of elimination. 24) 9x + 12 y = 3 5x + 3 y = 20 Worksheet by Kuta Software LLC -4- l o2f0o1S7h [KvuUtQaJ RSFoxfVtJw\\aIrOen YLJLPC`.^ y pAulOle erjiKgIh[tqsR DrNeLsdeQryvneAdZ.q G HMDaWdveG VwbiCtmhq cITnDf[ixnLiHtbep uPbrce\\-OAMlzgVeebUrcax. 25) Ashley and Jacob are selling pies for a school fundraiser. Customers can buy cherry pies and pumpkin pies. Ashley sold 12 cherry pies and 12 pumpkin pies for a total of $444. Jacob sold 4 cherry pies and 6 pumpkin pies for a total of $188. What is the cost each of one cherry pie and one pumpkin pie? Worksheet by Kuta Software LLC -5- n c2\\0Y1z7D AKQuatWa_ zSFoCfqtCwzakrHeu ^LnLaCd.w B JAIlplh KroiCgehPtzs\\ srYe[sIeVrSvgecdP.G K mMZaadgeN ]w`iQt^hM ]IinPfWiJnliQtXeI OPzrCeS-QA[lFgKeqbUr_ar