Math 012 6381 Final Exam Summer 2016 ID: 5 ©h i2_0]1I6n dKqu\tiaK MSJoofUt`w\airneo kLLLRCK.D X CAVlVlM Ar[iIgPh^tnsi xrxeVsNe`rBvmeWdm. Solve each equation.
1) 4v + 8v = -6(-2 + 2v) - 4(-7v + 6) 2) 1
1
1 1
p+ +1 =
3
6
6 2 Solve each inequality, write its solution set in interval notation, and graph the solution set on a
number line.
3) 5(1 - 4v) + 2(5v - 3) ³ -3v - 8v 3
1 24
4) -3 n - 1 £
5
2 5 Solve each compound inequality, write its solution set in interval notation, and graph the
solution set on a number line.
5) 29 £ 6n + 5 < 47 6) - 5
5
25
£- p<
3
3
3 Write the standard form of the equation of the line described.
4
7) through: (4, 5), perpendicular to y = - x + 1
9 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) 4x - 5 y = 20 Worksheet by Kuta Software LLC -1- ©x m2K0H1e6[ yKquxtGa_ QSAoWfFtUwSaHrRe\ XLCL]Cg.y S nAGlilS PrRiogJhOtpsG KrUeosTerrKv]ebdr.H I HMxasdtev IwKiLtshU uIynBfziGn\iCtPes xABlrgheebErVaF c1V. Show all work as you solve the linear modeling problem below.
9) There were 6205 CVS stores in the US in 2006 and 7511 CVS stores in the US in 2012. Write a
linear equation in slope-intercept form that models this growth. Let x stand for the number of
years after 2006 and let y stand for the number of CVS stores in the US. Simplify. Your answer should contain only positive exponents.
3 2 4 10) 5 y × 4x y 3 0 11) -4 -3 2x y × -2x y
-3x y 4 -2 -1 12) (4x y ) 13) n -4 3 -5 4 3 × (2m n ) Perform the indicated operation and simplify.
14) (3x 3 - 4 - 2x 4 ) - (8x 4 - 7x 3 - 2) Multiply as indicated and simplify.
15) (4x - 1)(4x 2 - 4x - 8) Solve the equation by factoring.
16) 7m 2 - 20m = -12 Solve the equation by completing the square.
17) n 2 - 10n - 116 = -9 Worksheet by Kuta Software LLC -2- ©f E2N0D1[6k DKFuhtWai PSOomfXtJwMagrneV _LlL`CD.O s vAalllt ^rfiRgehttQsP nr_ewsveTrpvDeDdM.n H gMraXdmed gwTiWtthY RIantfOiinIirtqe] mA[lWgHevburiat o1k. Solve the equation by use of the quadratic formula.
18) 5a 2 = 6 - 4a State the excluded values for the following expression. Then simplify the expression.
19) x 2 + 12x + 32
x 2 + 2x - 8 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
m+2
3
= 2
m + m - 20
m - 4 m + m - 20
2 Simplify the radical expressions.
21) 216h 4 j 2 k 3 22) (-2 5 + 3 )(-2 5 - 4 5 ) 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) x = -3 + 6x + 34 Worksheet by Kuta Software LLC -3- ©H h2F0s1i6K VKRuGt[av LSHoZfkt\wtayrZeo XLOLwCs.T l qAdlxlf crEiRgxhctUso ]rMeisDeJrOveewdi.M I SMHaXdiet jw\iqtqhx CItn]fAimn]iutTet mAllAgaeWbxrXac g1l. Show all work as you solve the following problems and write complete answers, including
appropriate units.
24) Anjali left the science museum and
traveled toward the mountains at an
average speed of 24 km/h. Kali left two
hours later and traveled in the same
direction but with an average speed of 40
km/h. How long did Anjali travel before
Kali caught up? 25) Rebecca put $24,000 in an education
account on the day her daughter was born.
If the account earned 6.65% 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- ©k U2v0Y1i6e KKpuitGaM `SJoifkthwSanroe_ JLoLfCw.i j ^AglClv orTiTgnhat]sD Sroe`sTesr\v[e^d`.K k BMMa[dKel twgihtohO oIUn_foi^nUiotHeK OAUlSgReTbxrpa] A1z.
