MATH012 Linear Modeling Problems and Extraneous Solutions Exam

Solve each equation…………………………………..

Math 012 Final Examination
Answer Sheet
Spring 2019
Math 012 Intermediate Algebra
Name______________________________
Final Examination: Spring 2019
Instructor __________________________
1
Answer Sheet
Instructions:
This is an open-book exam. You may refer to your text and other course materials as you work on the exam and
you may use a calculator. Record your answers and show your work on this document. You must show your
work to receive credit: answers given with no work shown will not receive credit. You may type your work
using plain-text formatting or an equation editor, or you may hand-write your work and scan it. If you choose
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Whether you type your work or write it by hand, show work neatly and correctly, following standard
mathematical conventions. Each step should follow clearly and completely from the previous step. If
necessary, you may attach extra pages.
You must complete the exam individually. Neither collaboration nor consultation with others is allowed.
Your exam will receive a zero grade unless you complete the following honor statement.
Please sign (or type) your name below the following honor statement:
I have completed this final examination myself, working independently and not consulting
anyone except the instructor. I have neither given nor received help on this final examination.
Name _______________
Date___________________
Math 012 Final Examination
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Math 012 7985 Final Exam Spring 2019
ID: 41
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Solve each equation.
1) 5(4 – 5n) + n = -4n + 5(2n – 2)
2)
5
19
101
x+ x=
4
5
10
Solve each inequality, write its solution set in interval notation, and graph the solution set on a
number line.
3) 2(7x – 1) + 4x < -5(-3x - 6) + 4 4) -b + 1 5 £ 2 6 Solve each compound inequality, write its solution set in interval notation, and graph the solution set on a number line. 5) -5 < 6x - 5 £ 37 6) 1 1 11 £- k< 4 2 12 Write the equation of the line described in standard form, Ax + By = C, where A, B, and C are integers. 5 7) through: (5, -3), perpendicular to y = x + 3 8 Worksheet by Kuta Software LLC -1- ©o X2U0z1Y9J oKOuPtjag sSgoFfPtPwhaqrWeP BLpLLCm.z j fARljlm `rWiJgYhlt_su Brvems\eqrKvIeBdp.D [ RMAaYdUeX lwOiTtehM NIrnBf\iEneiwtYec aA]lRgFejbBraaQ R1s. 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) 5x - 4 y = 20 Show all work as you solve the linear modeling problem below. 9) In 1978, 34.1% of American adults described themselves as regular cigarette smokers. By 2018, only 15.7% of American adults described themselves as regular cigarette smokers. Write a linear equation that models this decline in smoking. Let x represent the number of years after 1978 and let y represent the percentage of American adults who described themselves as regular cigarette smokers. Simplify. Your answer should contain only positive exponents. 3 4 4 3 10) 3a b × 5a b 3 0 11) 3x y × -2 y -4x y -2 3 -3 12) (4x y ) 3 2 0 3 -4 13) x y × (2x y -5 2 ) Perform the indicated operation and simplify. 14) (8n 3 + 5n 4 - 2n) - (4n 3 + 8n 4 - n) Multiply as indicated and simplify. 15) (4b + 1)(8b 2 - b - 7) Worksheet by Kuta Software LLC -2- ©L e2p0]1K9D QKfuAtuaz PS\oqfNtHwlaErheu hLlLpCj.x x `Aul[lt ^rqibgjhdtasX Ir[ebsqezrAvIeRde.L \ qMkahdReo SwyiUteh^ [IgnxfcirngiBtWes SATlGgHeWbsrpa_ j1_. Solve the equation by factoring. 16) 3 p 2 - 28 = 5 p Solve the equation by completing the square. 17) k 2 + 4k - 67 = 4 Solve the equation by use of the quadratic formula. 18) 5x 2 + 2x = 6 State the excluded values for the following expression. Then simplify the expression. 19) x 2 + 3x + 2 x 2 - 5x - 6 Solve the equation and show the check of the potential answer(s). If any answers are excluded values, state this on your answer sheet. 20) n-3 1 +1= n +n-6 n-2 2 Simplify the radical expressions. 21) 125x 3 y 4 z 2 22) ( 2+ 5 )( 2 - 5 5 ) Worksheet by Kuta Software LLC -3- ©n g2a0I1a9J cKjugtial aSooTfotUwPaVr\em YLgLlCB.y j FARlTlm VrRiDg[hZtDsB rrdensheXrEv[eEdf.J d SMQawdGeC ^wmiOtdh] DIQnDfaiLnViUtMeY tAKlxgJeJbXrQam F1L. 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) 5 + 3x - 11 = x Show all work as you solve the following problems and write complete answers, including appropriate units. 24) Amanda left home and traveled toward the town hall. One hour later her sister Gabriella left home traveling 10 km/h faster in an effort to catch up to her. After two hours Gabriella finally caught up. Find Amanda's average speed. 25) Christine put $54,000 in an education account on the day her daughter was born. If the account earned 4.65% 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- ©R O2T0C1i9z _KCuKtxaX HSkotfOtBwtaNrLeb ]LBLOC`.B m bAtl_lf [rVifgThmtusg nrgeksGegrbv_e]d].n s TMHawddem DwriNtFhe YIJnNfjikn_iVtcew TAAlqgUezbsrJa^ t1n.