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Math 012 7986 Final Exam Spring 2016 ID: 52 ©[ P2q0X1h6E JKCumtjal WSZoCfBtdw\a`rjez JL\LJCP.P c gAolGlR lr[iLgthGt`sc lrheYsUeLrTvHeUdz.

-1-

Solve each equation.

1) 7(3k + 8) = 3(1 – 8k) – 8k 2)

6

5 n –

5

3 n =

7

30

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

3) -3n – (n – 4) £ -(4 + 8n) 4) –

1

2 n – 2

1

4 < –

9

2

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

5) -39 < 5a – 4 < -19 6) –

11

6 £ –

11

6 r <

187

30

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

7) through: (-4, 5), perpendicular to y = 4 3 x – 1

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) 2x + 5y = -10

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-2-

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

9) There were 284 Whole Foods stores worldwide in 2009 and 399 Whole Foods stores worldwide in 2014. Write a linear equation in slope-intercept form that models this growth. Let x stand for the number of years after 2009 and let y stand for the number of Whole Foods stores worldwide.

Simplify. Your answer should contain only positive exponents.

10) 5x3y3 × 2y 11)

3x0y-2

2y3 × -3x0y2

12) (-2x2y-1)3 13) x-5y2 × (-2x-5y2)4

Perform the indicated operation and simplify.

14) (5n2 + 2n3 – 5) – (n3 + 3n4 – 6)

Multiply as indicated and simplify.

15) (4x – 5)(6×2 – 4x – 1)

Solve the equation by factoring.

16) 6×2 + 2 = -7x

Solve the equation by completing the square.

17) b2 – 18b = -9

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-3-

Solve the equation by use of the quadratic formula.

18) 4a2 – 9 = -4a

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

19) r2 – 9r + 20 r2 – 2r – 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) 3

m2 – 11m + 30 =

1

m – 5 + 1

Simplify the radical expressions.

21) 48hj3k4 22) (-5 2 + 5 )( 2 + 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 + 36 = n

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-4-

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

24) Rob left home and traveled toward the ferry office. Jill left one hour later traveling 10 km/h faster in an effort to catch up to him. After three hours Jill finally caught up. What was Rob’s average speed?

25) Rebecca put $35,000 in an education account on the day her daughter was born. If the account earned 8.55% 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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