07 Jan Shawna finally caught

Final exam

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Math 012 7986 Final Exam Fall 2016 ID: 33

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-1-

Solve each equation. 1) -8m + 6(1 + m) = -8(m – 6) 2) –

45

8 =

1

6

b +

4

3

b

Solve each inequality, write its solution set in interval notation, and graph the solution set on a

number line. 3) 5 p – 8( p + 3) > -6( p + 8) + 3

4) –

1

2

k –

2

5

> –

31

40

Solve each compound inequality, write its solution set in interval notation, and graph the

solution set on a number line. 5) 6 £ 6 + 6n < 36 6) - 1 2 £ - 3 4 x < 21 20 Write the standard form of the equation of the line described. 7) through: (4, 2), perpendcular to y = - 5 6 x - 5 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 - 2y = 6 ©K a2C0L1Z6r aKjuFtzaxBSRoEf[t[wUaqrpeh \LKLsCk.k b XAwlulDprpieguhGtZsSsrheusNeHr_vBeDdk.X m wMoa[dEe[ GweivtEhcsI^nvfsiKnpiItxeQLAplEgTeUbrrKae C1[. Worksheet by Kuta Software LLC -2- Show all work as you solve the linear modeling problem below. 9) There were 246 Apple stores worldwide in 2008 and 317 Apple stores worldwide in 2010. Write a linear equation in slope-intercept form that models this growth. Let x stand for the number of years after 2008 and let y = the number of Apple stores worldwide. Simplify. Your answer should contain only positive exponents. 10) 2u 2 v 2 × 3u 5 11) - 2x 3 y -4 4x 4 y 3 × -4yx 0 12) (3u -1 v 3 )-1 13) -2ba 5 × ba 0 × (2a -2 )-3 Perform the indicated operation and simplify. 14) (1 - 5b 4 - 8b 2 ) - (5b 4 - 6b 2 - 7) Multiply as indicated and simplify. 15) (5x - 6)(4x 2 + 4x - 5) Solve the equation by factoring. 16) 5v 2 + 21v = -18 Solve the equation by completing the square. 17) r 2 + 2r - 41 = 6 ©B k2v0x1h6I FKSu_teaYLSso^fWtWwHaOrpeWwLpL`Cg.` X nAslClHtr_iOgrhwtdsy \rNecsCeHrmvAeBds.Q d DM[atdLencw]iHt]he UIKnyfPiGnqiitFeEQAqlXgte]bYrTac _1L. Worksheet by Kuta Software LLC -3- Solve the equation by use of the quadratic formula. 18) 3n 2 - 3 = 3n State the excluded values for the following expression. Then simplify the expression. 19) p 2 - 2 p - 15 p 2 - 5 p - 24 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) 1 x 2 - 8x + 15 - x x - 3 = 5 x 2 - 8x + 15 Simplify the radical expressions. 21) 125x 3yz 4 22) (-3 3 + 5)( 3 + 4) 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) -v + 41 - v = 1 ©t _2a0C1A6\ `KnuktpaRGS_oXfutswgaxrjejiLzL]Cs.Q K pAQlSlxyruitg[hqtXsFSr\epsmeArqvfeldb.U J WMbaHdhelZwwiOtuhE EI]nBfKilnWidtwel `ArlVgUeVbkrXaD W1e. Worksheet by Kuta Software LLC -4- Show all work as you solve the following problems and write complete answers, including appropriate units. 24) DeShawn left the mall and traveled toward the ferry office. Shawna left two hours later traveling 30 km/h faster in an effort to catch up to him. After three hours Shawna finally caught up. Find DeShawn's average speed. 25) Jennifer put $17,000 in an education account on the day her daughter was born. If the account earned 6.45% interest compounded quarterly, what was the total in the account when her daughter turned 18? Round the final answer to the nearest cent.