algebra final

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Math 012 7985 Final Exam Spring 2017 ID: 43 ©R y2C0B1w7h GKguHtbau dS`oTfetcwnanrOes PL]LRCo.X T iAelnlk ]r\iwgwhxtxsI drTeLsieIr`vCeQdO.

-1-

Solve each equation.

1) -5v + 8(v + 4) = -2(-v - 8) 2) -

73

56 =

10

7 p -

19

6 p

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

3) 6(r - 5) - 7r < -3(2 + r) 4) 1 - 2

1

4 a £

1

4

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

5) -28 < 7x - 7 £ 0 6) -

3

4 £ -

1

2 a £ -

1

4

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

7) through: (-5, 4), perpendicular to y = 5 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) 9x + 4y = -16

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-2-

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

9) There were 395 Krispy Kreme Doughnuts stores in the US in 2004 and 251 Krispy Kreme Doughnuts stores in the US in 2007. Write a linear equation in slope-intercept form that models this decline. Let x stand for the number of years after 2004 and let y stand for the number of Krispy Kreme Doughnuts stores in the US.

Simplify. Your answer should contain only positive exponents.

10) 5x4y4 × 3yx4 11)

2x3y-1 × -3x0y4

-4x-3y4

12) (-4a-4b2)-3 13) -2m0n4 × (-2nm-3)4

Perform the indicated operation and simplify.

14) (6x2 - 7 + 7x3) - (7x2 - 8 - 2x3)

Multiply as indicated and simplify.

15) (3a - 2)(8a2 + 4a - 3)

Solve the equation by factoring.

16) 5k2 - 16k = -12

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-3-

Solve the equation by completing the square.

17) m2 + 10m - 38 = 9

Solve the equation by use of the quadratic formula.

18) 5x2 = -4x + 6

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

19) m2 - 2m - 15 m2 - 12m + 35

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) r + 4

r2 + 9r + 18 =

1

r2 + 9r + 18 - r - 3 r + 6

Simplify the radical expressions.

21) 200ab3c4 22) ( 5 + 3 3)( 5 + 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) 21 - 5x + 3 = x

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-4-

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

24) Nora left the science museum and drove west. Lisa left the museum one hour later driving 14 mph faster in an effort to catch up to her. After four hours Lisa finally caught up. Find Nora's average speed.

25) Patrice put $54,000 in an education account on the day her daughter was born. If the account earned 5.25% interest compounded monthly, what was the total in the account when her daughter turned 18? Round the final answer to the nearest cent.