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Math 012 7981 Final Exam Spring 2016 ID: 47 ©x P2z0f1_6I TKBust`aG _SKonfHtiwIaerSex XLCLRCb.t a MAYlhlt IrvihgLh_tysy Yrue[sneergvfeIdO.

-1-

Solve each equation.

1) 7b + 3(-2b – 8) = 3b – 7(b – 3) 2) –

7

4 r –

6

5 r = –

59

60

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

3) 8x – 2(8 + 2x) £ 7 – (-x + 8) 4) –

2

3 – 1

2

3 n <

44

9

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

5) -10 < 3p – 4 £ -4 6)

3

8 < –

3

2 p <

33

8

Write the standard form of the equation of the line described.

7) through: (3, -5), perpendicular to y = 3 7 x – 4

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 = -10

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-2-

Show all work as you solve the linear modeling problem below.

9) There were 273 Whole Foods stores worldwide in 2008 and 363 Whole Foods stores worldwide in 2013. 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 stand for the number of Whole Foods stores worldwide.

Simplify. Your answer should contain only positive exponents.

10) 3a5b0 × 5a4b4 11)

4m0

3m3n3 × -3n

12) (3a2b-2)-2 13) 2m0n-3 × (m-2n-4)5

Perform the indicated operation and simplify.

14) (7×4 – 6×3 – 2) – (3×3 + 7 – x)

Multiply as indicated and simplify.

15) (6b – 4)(7b2 – 5b + 8)

Solve the equation by factoring.

16) 5k2 – 21k = -4

Solve the equation by completing the square.

17) m2 + 6m – 67 = -4

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-3-

Solve the equation by use of the quadratic formula.

18) 2n2 = 1 + 4n

State the excluded values for the following expression. Then simplify the expression.

19) m2 + 4m – 45 m2 – 3m – 10

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 + p – 4

p2 – 6p + 5 = p + 1 p – 1

Simplify the radical expressions.

21) 125m4p3q4 22) ( 3 – 4 5 )( 3 + 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) -1 + 4n + 81 = n

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-4-

Show all work as you solve the following problems and write complete answers, including appropriate units.

24) A diesel train left the station and traveled east. One hour later a freight train left traveling 15 km/h faster in an effort to catch up to it. After five hours the freight train finally caught up. What was the diesel train’s average speed?

25) Rebecca put $35,000 in an education account on the day her daughter was born. If the account earned 7.95% interest compounded monthly, what was the total in the account when her daughter turned 18? Round the final answer to the nearest cent.

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