Math 009 6386 Fall 2017 Final Exam ID: 18 x V2d0T1U7a jK\\uWtCam ISeoWfttbwCaarEeh lL`LvCC.O x yAAl`lf vrri]gHhUtWsI DrWeMsge[rwvNewdH. Follow order of operations to simplify the following expression: 1) - 15 (-7) - 8 (-3) - 2 Evaluate the expression using the values given for the variables. 2 2) a + b - b ; use a = 7, and b = -2 4 Simplify the expression. 3) 10(r + 9) - 2(-8 + 9r) Simplify the expression and write your answer as a fraction in lowest terms. ( ) 4) - 1 12 5 + 2 7 4 Use a proportion to set up and solve the following problem. Round your answer to the nearest tenth if necessary. 5) A lawn ornament that is 2 ft tall casts a shadow that is 5 ft long. Find the length of the shadow that a 14.9 ft statue casts. Worksheet by Kuta Software LLC -1- y r2q0X1y7p LKVuwt[aH USioGfytewcaBrker lLLLLCn.H O WARlol[ crwiQgWhOtysY crceJsdeKrUvreCdF.p A AMraGdleg ZwsiftBhY xIanQfhiinciftreM cPprBet-RAAlkgCevb_rlaR. Set up and solve an equation to answer the question below. Round your answer to the nearest tenth of a percent if necessary. 6) 67 is what percent of 95? 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 85 ft to 60.9 ft Find the final price of the item below, given that the tax will be applied to the discounted price. 8) Original price of a truck: $22,000.00 Discount: 49% Tax: 3% Use simple interest to find the ending balance, given the following values for principal, rate, and time. 9) $1,370 at 6.4% for 2 years Solve the equation given in #10. 10) -4 + m = -6 4 Solve the equation given in #11. 11) -2(3x + 1) - 8(2 + x) = 80 Solve the equation given in #12. 12) 5 3 19 p+ p= 3 2 10 Worksheet by Kuta Software LLC -2- E Z2t0S1]7\\ zK\\uNt_ar ySTozf_tEwqaVrteT rLKLdCE.A q eAIlMl] krwiXgwhNtxsJ driebsyePr[v]eAdr.e r dMWaxdDeb dwFiotKha iIxnffTiNnZiMtYea TPvrEeM-NA[lsgiegbmr[a_. Solve the equation given in #13. 13) 0.4n + 0.4n = -5.04 + 1.7n Solve the inequality in #14, write its solution set in interval notation, and graph the solution set on a number line. 14) n - 7 > -2 2 Solve the inequality in #15, write its solution set in interval notation, and graph the solution set on a number line. 15) 5(2n - 4) - 6(n - 6) 5n + n 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) x + 2 y = 6 Write the slope-intercept form of the equation of the line through the given points. 18) through: (-5, -3) and (-2, 2) Worksheet by Kuta Software LLC -3- O n2x0v1v7d mKsujtlaL rSXonfHtbw_aAreei zLFLqCh.C E QAllYlC jrkipgphctPs[ hreeDsbeirBvWeodv.R l ZMXavdxeZ owyiRtwhS JIFnYfyi^nmiWt[eW DPyrIeN-lA[lIgueybQrAaM. Find at least three ordered pairs that satisfy the equation and sketch the graph of the line through them. 19) -5 = -x + 5 y Solve the system of equations by the method of substitution. 20) y = -2x 7x + 4 y = -3 Write the point-slope form of the equation of the line described. 3 21) through: (-4, 2), parallel to y = - x + 3 2 Write the slope-intercept form of the equation of the line described. 5 22) through: (5, -2), perpendicular to y = x - 4 7 Solve the system by graphing both lines on one coordinate system. 23) 3x - 2 y = -4 x + 2 y = -4 Solve the system of equations by the method of elimination. 24) 7x + 8 y = 8 14x - 6 y = -6 Worksheet by Kuta Software LLC -4- h f2M0D1D7l kKbuBtBaz cSgoNfRttwAaEreey gL]LECk.w c WANlklh drYiLgthYtbsE urTehspeqrtvLekdF.Z m iMSaSd]et wwOiMt\\hg vItnOfiiznViBtNeE OP]rgea-^A^lCgFeLbGrEa\\. 25) Emily and Arjun are selling cheesecakes for a school fundraiser. Customers can buy New York style cheesecakes and apple cheesecakes. Emily sold 7 New York style cheesecakes and 1 apple cheesecake for a total of $38. Arjun sold 13 New York style cheesecakes and 4 apple cheesecakes for a total of $92. Find the cost each of one New York style cheesecake and one apple cheesecake. Worksheet by Kuta Software LLC -5- I C2o0i1f7w qKwurtMa^ PSRoZfotFwgasrBe\\ aLNL`CI.J r nAmlNls CrLiHgJh[tKsc YrheOsnelrTvPe\\dd.J Z qMKapdFea gwoi\\tuh\\ NILncf`i_nuiotzeb LPHrVed-mAPlmgaembur^ar