# 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(3*n *– 7) = -8(2*n *– 6) + 6 2) -2*n *+ 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 + 5*m*) > -(5 – 7*m*) – 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 £ 4*m *+ 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) 5*x *– 2*y *= -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) 3*x*4 × 4*y*3 × 3*y*4 11) – 4*x*4*y*0 × 2*x*3*y*-4

3*x*-1*y*3 12) (3*x*2*y*-1)3 13) (-2*b*4)2 × -2*a*-3*b*5

**Perform the indicated operation and simplify.** 14) (2*x*2 – 5*x*3 – 7*x*) – (*x*2 + 4*x*3 – 3*x*)

**Multiply as indicated and simplify.** 15) (3*x *– 7)(3*x*2 – 5*x *– 4)

**Solve the equation by factoring.** 16) 4*v*2 + 35 = 33*v*

**Solve the equation by completing the square.** 17) *k*2 + 4*k *– 62 = -6

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Worksheet by Kuta Software LLC

-3-

**Solve the equation by use of the quadratic formula.** 18) 5*m*2 – 2*m *= 9

**State the excluded values for the following expression. Then simplify the expression.** 19) *x*2 – 12*x *+ 35

*x*2 – 3*x *– 28

**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 = 6

*b *– 2

–

1

*b*2 – 8*b *+ 12

**Simplify the radical expressions.** 21) 150*x*4*y*2*z*3 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 – 6*n*

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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.