# final exam

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Worksheet by Kuta Software LLC Math 012 7981 Final Exam, Fall 2015 ID: 32
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-1-
Solve each equation. 1) -7(3n – 7) = -8(2n – 6) + 6 2) -2n + 5
3
n = –
5
18
Solve each inequality, write its solution set in interval notation, and graph the solution set on a
number line. 3) 3(1 + 5m) > -(5 – 7m) – 8 4) – 1
3
x
3 2
> –
65
24
Solve each compound inequality, write its solution set in interval notation, and graph the
solution set on a number line. 5) -17 £ 4m + 7 £ -9 6) -3 < – 5
6
x £
7 6
Write the standard form of the equation of the line described. 7) through: (-3, 2), perpendicular to y = 6
5
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 = -6
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Worksheet by Kuta Software LLC
-2-
Show all work as you solve the linear modeling problem below. 9) There were 6205 CVS stores in the US in 2006 and 7380 CVS stores in the US in 2011. 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 = the number of CVS stores in the US.
Simplify. Your answer should contain only positive exponents. 10) 3x4 × 4y3 × 3y4 11) – 4x4y0 × 2x3y-4
3x-1y3 12) (3x2y-1)3 13) (-2b4)2 × -2a-3b5
Perform the indicated operation and simplify. 14) (2x2 – 5x3 – 7x) – (x2 + 4x3 – 3x)
Multiply as indicated and simplify. 15) (3x – 7)(3x2 – 5x – 4)
Solve the equation by factoring. 16) 4v2 + 35 = 33v
Solve the equation by completing the square. 17) k2 + 4k – 62 = -6
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Worksheet by Kuta Software LLC
-3-
Solve the equation by use of the quadratic formula. 18) 5m2 – 2m = 9
State the excluded values for the following expression. Then simplify the expression. 19) x2 – 12x + 35
x2 – 3x – 28
Solve the equation and show the check of the potential answer(s). If any answers are excluded
b – 2

1
b2 – 8b + 12
Simplify the radical expressions. 21) 150x4y2z3 22) ( 3 + 2 2)(2 3 – 3 2)
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) n = 3 + 25 – 6n
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Worksheet by Kuta Software LLC
-4-
Show all work as you solve the following problems and write complete answers, including
appropriate units. 24) A diesel train left Seoul and traveled toward the outer-most station at an average speed of 30 km/h. A freight train left four hours later and traveled in the same direction but with an average speed of 40 km/h. Find the number of hours the diesel train traveled before the freight train caught up. 25) Rebecca put \$39,000 in an education account on the day her daughter was born. If the account earned 6.45% 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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