Math 009 6381 Fall 2017 Final Exam ID: 12 O W2\\0z1x7S TKGuCtJai WSvoFfMtVwuaerpeW QLMLWCd.z k rATlxlL QrZikgKh\\tis_ urteasoedrsvxesd]. Follow order of operations to simplify the following expression: 1) (-3) + 16 6 (-4) + 8 Evaluate the expression using the values given for the variables. 2 2) x - 5 + x - y; use x = -4, and y = -10 Simplify the expression. 3) -10(9 - 2b) - 4(1 + 3b) Simplify the expression and write your answer as a fraction in lowest terms. ( ) 4) - 3 11 3 + 2 7 2 Use a proportion to set up and solve the following problem. Round your answer to the nearest tenth if necessary. 5) A 10.7 ft tall adult elephant standing next to a woman casts a 57.8 ft shadow. If the woman is 5.6 ft tall, then how long is her shadow? Set up and solve an equation to answer the question below. Round your answer to the nearest tenth of a percent if necessary. 6) 52 is what percent of 97.7? Worksheet by Kuta Software LLC -1- h q2v0_1T7p KK^uQt_aJ XSJoQfbtuwharrzeK oLwLbCn.x U ZAjlvlw [rGixgAh\\tksk nrAeOsIeJrovHeudu.w J \\Mua`d_eR ywzictUhB MIgnTfbiankiltmee PPoroeM-LA[lDgJefb]rWaS. 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 46 minutes to 63 minutes Find the final price of the item below, given that the tax will be applied to the discounted price. 8) Original price of a tie: $34.95 Discount: 44% Tax: 2% Use simple interest to find the ending balance, given the following values for principal, rate, and time. 9) $57,000 at 14.7% for 6 years Solve the equation given in #10. 10) 4x + 1 = -11 Solve the equation given in #11. 11) -7(n + 6) - 8(5n - 7) = -33 Solve the equation given in #12. 4 5 23 12) - n - n = 3 2 9 Solve the equation given in #13. 13) 4.3 + 0.6v = 8.29 - 1.5v Solve the inequality in #14, write its solution set in interval notation, and graph the solution set on a number line. 14) 4 + 7n 53 Worksheet by Kuta Software LLC -2- V c2m0d1T7b lK]uot\\aS zSjoLfgtOwBaBrMeH TLvLwCP.\\ F fA]lPlg Yrli]gRh^tMss krHeUsZeIrHvqeLdU.J y BMQa^dHel `w_i_tohq bINnNfEiPnLirtkea bPWrNed-_ATl\\gXeTbLrNaX. Solve the inequality in #15, write its solution set in interval notation, and graph the solution set on a number line. 15) -4(4 + 4n) -2(1 + 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) 4x + 3 y = -12 Write the slope-intercept form of the equation of the line through the given points. 18) through: (3, -4) and (1, 5) Find at least three ordered pairs that satisfy the equation and sketch the graph of the line through them. 19) 0 = -15 + 6x - 5 y Solve the system of equations by the method of substitution. 20) y = -3x 7x + 3 y = 4 Worksheet by Kuta Software LLC -3- h ^2i0b1[7t VKSuwt_aH hSdoSf[tkwKajrYeX TLNLMCE.g g TAVlHlF FrziighhttbsE WrwezsheJrgvReEdf.v j EMMaTdmed PwaiztahX KIYnXfeipnNi]tgev kPXrHe\\-rAGlGgUeqb^reaU. Write the point-slope form of the equation of the line described. 4 21) through: (4, -5), parallel to y = - x - 2 7 Write the slope-intercept form of the equation of the line described. 5 22) through: (-5, -1), perpendicular to y = - x - 4 6 Solve the system by graphing both lines on one coordinate system. 23) x + 4 y = -12 3x - 2 y = -8 Solve the system of equations by the method of elimination. 24) 20x + 8 y = -12 -10x - 2 y = -2 25) Maria and Amanda are selling cookie dough for a school fundraiser. Customers can buy packages of sugar cookie dough and packages of gingerbread cookie dough. Maria sold 3 packages of sugar cookie dough and 6 packages of gingerbread cookie dough for a total of $90. Amanda sold 11 packages of sugar cookie dough and 12 packages of gingerbread cookie dough for a total of $210. Find the cost each of one package of sugar cookie dough and one package of gingerbread cookie dough. Worksheet by Kuta Software LLC -4- t Q2U0\\1]7I bKAu^tzaX [SBorfytQwEaXrWeA \\LTLcCH.w [ mAWlslY IrYi\\gLhFtTsf ErpeCsZeor[vHetdi.i A GMuapdjeZ YwaimtnhF VIUnMfoi]n_i\\tTeR bPQrNew-sAPlogTePbqrgak