\fMath 009 7382 Final Exam Summer 2016 ID: 18 C U2y0K1V6M jKTuVtRat FSFoKfDtrwoagrLeX qLULGCU.U o QAIlXlW ArHiPgJhZt\\sw nrYeVsZefrqvEekdW. Follow order of operations to simplify the following expression: 1) 26 + 1 6 -3 -3 Evaluate the expression using the values given for the variables. 2 2) y + y - y - x; use x = 4, and y = -5 Simplify the expression. 3) -10(5x + 7) - 5(-8x - 2) Simplify the expression and write your answer as a fraction in lowest terms. 4) ( )( ) 3 5 1 - - + 2 3 7 Use a proportion to set up and solve the following problem. Round your answer to the nearest tenth if necessary. 5) A man who is 7.2 ft tall casts a shadow that is 38.9 ft long. Find the length of the shadow that a 4.5 ft petrified stump casts. Set up and solve an equation to answer the question below. Round your answer to the nearest tenth of a percent if necessary. 6) 44 is what percent of 152? Worksheet by Kuta Software LLC -1- Y F2d0V1p6y dKKuRt[aT WSIoafst]wEamrZeg TL[LFCs.V [ wAPlElM DrzimgFh`tLsQ LrYepswe\ LvoeBdX.z ] eMxaedOep ^wfiptDhh HIPnxfIibn^iXtEeL jPyrCev-BAOl^gpekbUrYaE. 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 73 ft to 51.9 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 car: $16,500.00 Discount: 52% Tax: 6% Use simple interest to find the ending balance, given the following values for principal, rate, and time. 9) $45,000 at 12.7% for 7 years Solve the equation given in #10. 10) 5 - 4n = 21 Sove the equation given in #11. 11) 4(4n - 6) - 8(6 + 8n) = 72 Solve the equation given in #12. 12) 7 19 17 m- m= 4 6 24 Solve the equation given in #13. 13) -1.3 - 0.5n = n - 4.3 - 4.8 Solve the inequality in #14, write its solution set in interval notation, and graph the solution set on a number line. 14) 3 + 5x < -32 Worksheet by Kuta Software LLC -2- _ S2p0w1_6J fK]ucteaC BS_o]fWttwEazrwew qLNLKCV.[ b eAdlJlU Ir`iegJhLtfsD trReBstefryv^ekdT.O R kMOa_dged [wUiRtxhh JIlnUfgicnUiitVeL PPcrGeQ-AAwlsgkevbYr_aq. Solve the inequality in #15, write its solution set in interval notation, and graph the solution set on a number line. 15) 4(n - 5) -4(1 - 5n) 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 + 3 y = -6 Write the slope-intercept form of the equation of the line through the given points. 18) through: (-5, 3) and (5, 2) Find at least three ordered pairs that satisfy the equation and sketch the graph of the line through them. 19) 0 = 8 + 12x - 2 y Solve the system of equations by the method of substitution. 20) y = 3x -3x - 7 y = 24 Worksheet by Kuta Software LLC -3- ] e2R0G1P6E WKvuZt`aF tSiopfwt\\wuafrmel RLzLnCB.H B jA^lmlx JrCiogphRtXsl \ be[sPeOrEvVeFdv.[ O tMdasdUeM uwIiPt`ht QIKnofdidnAiLtleP sPLryeq-mAgl\\gfenbdruak. Write the point-slope form of the equation of the line described. 7 21) through: (2, -3), parallel to y = x + 5 2 Write the slope-intercept form of the equation of the line described. 2 22) through: (-1, -5), perpendicular to y = x - 5 5 Solve the system by graphing both lines on one coordinate system. 23) x - y = -3 5x + y = -3 Solve the system of equations by the method of elimination. 24) -8x - 2 y = -4 2x - 5 y = 12 25) Emily and Ndiba are selling cheesecakes for a school fundraiser. Customers can buy pecan cheesecakes and strawberry cheesecakes. Emily sold 14 pecan cheesecakes and 3 strawberry cheesecakes for a total of $140. Ndiba sold 7 pecan cheesecakes and 9 strawberry cheesecakes for a total of $175. Find the cost each of one pecan cheesecake and one strawberry cheesecake. Worksheet by Kuta Software LLC -4- g _2S0z1V6f uKbuptzab [SOodfftcwzaIrJep _LgLbCS.m H yAclAlu vr^i]g^hntSsb Fr`erskejrhvzeudA.H w XMiaXd`eH LwPiXt`hi CI^n]fkiDnyintHeY iP`rMeK-CAHlZgEeTbAriaC