004 Sample Final A - Revision history

Kayla Murray at 04:21, 1 May 2015

2015-05-01T04:21:48Z

Kayla Murray at 04:12, 29 April 2015

2015-04-29T04:12:04Z

Kayla Murray at 23:05, 28 April 2015

2015-04-28T23:05:49Z

Kayla Murray at 23:04, 28 April 2015

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Kayla Murray at 23:03, 28 April 2015

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Kayla Murray at 22:54, 28 April 2015

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Kayla Murray at 22:33, 28 April 2015

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Kayla Murray at 22:26, 28 April 2015

2015-04-28T22:26:12Z

Kayla Murray at 22:13, 28 April 2015

2015-04-28T22:13:29Z

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 <span class = "biglink">[[004 Sample Final A, Problem 7|&nbsp;Question 7&nbsp;]]</span> <span class="exam"> Given a sequence <math>10, 7, 4, 1, \ldots</math> use formulae on the back page to compute <math>S_{20}</math>
-<span class = "biglink">[[004 Sample Final A, Problem 8|&nbsp;Question 8&nbsp;]]</span> <span class="exam"> a) List all the possible zeros of the function.<br>
+<span class = "biglink">[[004 Sample Final A, Problem 8|&nbsp;Question 8&nbsp;]]</span> <span class="exam"> a) List all the possible rational zeros of the function <math> f(x)=x^4-4x^3-7x^2+34x-24</math>.<br>
 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; b) Find all the zeros, that is, solve <math>f(x) = 0</math>

← Older revision		Revision as of 04:12, 29 April 2015
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	<span class = "biglink">[[004 Sample Final A, Problem 18\| Question 18 ]]</span> <span class="exam"> Ten teams are entered in a bowling tournament. In how many ways can first, second, and third prizes be awarded? (simplify your answer to a single number)		<span class = "biglink">[[004 Sample Final A, Problem 18\| Question 18 ]]</span> <span class="exam"> Ten teams are entered in a bowling tournament. In how many ways can first, second, and third prizes be awarded? (simplify your answer to a single number)

−	<span class = "biglink">[[004 Sample Final A, Problem 19\| Question 19 ]]</span> <span class="exam"> Solve for ''x'': ~~    ~~ <math>\log_6 \frac{1}{36} = x</math>	+	<span class = "biglink">[[004 Sample Final A, Problem 19\| Question 19 ]]</span> <span class="exam"> Solve for ''x'': <math>\log_6 \frac{1}{36} = x</math>

@@ Line 14: / Line 14: @@
 <span class = "biglink">[[004 Sample Final A, Problem 6|&nbsp;Question 6&nbsp;]]</span> <span class="exam"> Simplify. &nbsp;&nbsp;&nbsp;&nbsp; <math>\frac{1}{3x + 6} - \frac{x}{x^2-4} + \frac{3}{x-2}</math>
-<span class = "biglink">[[004 Sample Final A, Problem 7|&nbsp;Question 7&nbsp;]]</span> <span class="exam"> Given a sequence <math>10, y, 4, 1, \ldots</math> use formulae on the back page to compute <math>S_{20}</math>
+<span class = "biglink">[[004 Sample Final A, Problem 7|&nbsp;Question 7&nbsp;]]</span> <span class="exam"> Given a sequence <math>10, 7, 4, 1, \ldots</math> use formulae on the back page to compute <math>S_{20}</math>
 <span class = "biglink">[[004 Sample Final A, Problem 8|&nbsp;Question 8&nbsp;]]</span> <span class="exam"> a) List all the possible zeros of the function.<br>

@@ Line 17: / Line 17: @@
 <span class = "biglink">[[004 Sample Final A, Problem 8|&nbsp;Question 8&nbsp;]]</span> <span class="exam"> a) List all the possible zeros of the function.<br>
-&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; b) Find all the zeros, that is, solve f(x) = 0
+&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; b) Find all the zeros, that is, solve <math>f(x) = 0</math>
 <span class = "biglink">[[004 Sample Final A, Problem 9|&nbsp;Question 9&nbsp;]]</span> <span class="exam"> Graph the function. Give equations of any asymptotes, and list any intercepts. &nbsp;&nbsp;&nbsp;&nbsp;<math>y = \frac{6}{x^2 - x - 2}</math>

@@ Line 23: / Line 23: @@
 <span class = "biglink">[[004 Sample Final A, Problem 10|&nbsp;Question 10&nbsp;]]</span> <span class="exam"> Decompose into separate partial fractions. &nbsp;&nbsp;&nbsp;&nbsp; <math>\frac{6x^2 + 27x + 31}{(x + 3)^2(x-1)}</math>
-<span class = "biglink">[[004 Sample Final A, Problem 11|&nbsp;Question 11&nbsp;]]</span> <span class="exam"> Find and simplify the difference quotient <math>\frac{f(x + h) - f(x)}{h}</math> for <math>f(x) = \sqrt{x - 3}</math>
+<span class = "biglink">[[004 Sample Final A, Problem 11|&nbsp;Question 11&nbsp;]]</span> <span class="exam"> Find and simplify the difference quotient &thinsp;<math>\frac{f(x + h) - f(x)}{h}</math>&thinsp; for <math>f(x) = \sqrt{x - 3}</math>
 <span class = "biglink">[[004 Sample Final A, Problem 12|&nbsp;Question 12&nbsp;]]</span> <span class="exam"> Set up, but do not solve the following word problem. Two private airplanes travel toward each other from cities that are 780 km apart at speeds of 190 km/hr and 200 km/hr. They left at the same time. In how many hours will they meet?
@@ Line 29: / Line 29: @@
 <span class = "biglink">[[004 Sample Final A, Problem 13|&nbsp;Question 13&nbsp;]]</span> <span class="exam"> Compute <math>\displaystyle{\sum_{n = 1}^6 4\left(\frac{1}{2}\right)^n}</math>
-<span class = "biglink">[[004 Sample Final A, Problem 14|&nbsp;Question 14&nbsp;]]</span> <span class="exam"> a) Find an equation of the line passing through (-4, 2) and (3, 6).<br>
+<span class = "biglink">[[004 Sample Final A, Problem 14|&nbsp;Question 14&nbsp;]]</span> <span class="exam"> a) Find an equation of the line passing through <math>(-4, 2)</math> and <math>(3, 6)</math>.<br>
 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 b) Find the slope of any line perpendicular to your answer from a)
@@ Line 41: / Line 41: @@
 <span class = "biglink">[[004 Sample Final A, Problem 18|&nbsp;Question 18&nbsp;]]</span> <span class="exam"> Ten teams are entered in a bowling tournament. In how many ways can first, second, and third prizes be awarded? (simplify your answer to a single number)
-<span class = "biglink">[[004 Sample Final A, Problem 19|&nbsp;Question 19&nbsp;]]</span> <span class="exam"> Solve for x: &nbsp;&nbsp;&nbsp;&nbsp; <math>\log_6 \frac{1}{36} = x</math>
+<span class = "biglink">[[004 Sample Final A, Problem 19|&nbsp;Question 19&nbsp;]]</span> <span class="exam"> Solve for ''x'': &nbsp;&nbsp;&nbsp;&nbsp; <math>\log_6 \frac{1}{36} = x</math>

@@ Line 16: / Line 16: @@
 <span class = "biglink">[[004 Sample Final A, Problem 7|&nbsp;Question 7&nbsp;]]</span> <span class="exam"> Given a sequence <math>10, y, 4, 1, \ldots</math> use formulae on the back page to compute <math>S_{20}</math>
-Question 8 a) List all the possible zeros of the function.<br>
+<span class = "biglink">[[004 Sample Final A, Problem 8|&nbsp;Question 8&nbsp;]]</span> <span class="exam"> a) List all the possible zeros of the function.<br>
 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; b) Find all the zeros, that is, solve f(x) = 0
-Question 9.Graph the function. Give equations of any asymptotes, and list any intercepts. &nbsp;&nbsp;&nbsp;&nbsp;<math>y = \frac{6}{x^2 - x - 2}</math>
+<span class = "biglink">[[004 Sample Final A, Problem 9|&nbsp;Question 9&nbsp;]]</span> <span class="exam"> Graph the function. Give equations of any asymptotes, and list any intercepts. &nbsp;&nbsp;&nbsp;&nbsp;<math>y = \frac{6}{x^2 - x - 2}</math>
-Question 10. Decompose into separate partial fractions. &nbsp;&nbsp;&nbsp;&nbsp; <math>\frac{6x^2 + 27x + 31}{(x + 3)^2(x-1)}</math>
+<span class = "biglink">[[004 Sample Final A, Problem 10|&nbsp;Question 10&nbsp;]]</span> <span class="exam"> Decompose into separate partial fractions. &nbsp;&nbsp;&nbsp;&nbsp; <math>\frac{6x^2 + 27x + 31}{(x + 3)^2(x-1)}</math>
-Question 11. Find and simplify the difference quotient <math>\frac{f(x + h) - f(x)}{h}</math> for <math>f(x) = \sqrt{x - 3}</math>
+<span class = "biglink">[[004 Sample Final A, Problem 11|&nbsp;Question 11&nbsp;]]</span> <span class="exam"> Find and simplify the difference quotient <math>\frac{f(x + h) - f(x)}{h}</math> for <math>f(x) = \sqrt{x - 3}</math>
-Question 12. Set up, but do not solve the following word problem. Two private airplanes travel toward each other from cities that are 780 km apart at speeds of 190 km/hr and 200 km/hr. They left at the same time. In how many hours will they meet?
+<span class = "biglink">[[004 Sample Final A, Problem 12|&nbsp;Question 12&nbsp;]]</span> <span class="exam"> Set up, but do not solve the following word problem. Two private airplanes travel toward each other from cities that are 780 km apart at speeds of 190 km/hr and 200 km/hr. They left at the same time. In how many hours will they meet?
-Question 13. Compute <math>\displaystyle{\sum_{n = 1}^6 4\left(\frac{1}{2}\right)^n}</math>
+<span class = "biglink">[[004 Sample Final A, Problem 13|&nbsp;Question 13&nbsp;]]</span> <span class="exam"> Compute <math>\displaystyle{\sum_{n = 1}^6 4\left(\frac{1}{2}\right)^n}</math>
-Question 14 a) Find an equation of the line passing through (-4, 2) and (3, 6).<br>
+<span class = "biglink">[[004 Sample Final A, Problem 14|&nbsp;Question 14&nbsp;]]</span> <span class="exam"> a) Find an equation of the line passing through (-4, 2) and (3, 6).<br>
 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 b) Find the slope of any line perpendicular to your answer from a)
-Question 15. Solve. <math>\log(x + 8) + \log(x - 1) = 1</math>
+<span class = "biglink">[[004 Sample Final A, Problem 15|&nbsp;Question 15&nbsp;]]</span> <span class="exam"> Solve. <math>\log(x + 8) + \log(x - 1) = 1</math>
-Question 16. Solve. <math>\sqrt{x - 3} + 5 = x</math>
+<span class = "biglink">[[004 Sample Final A, Problem 16|&nbsp;Question 16&nbsp;]]</span> <span class="exam"> Solve. <math>\sqrt{x - 3} + 5 = x</math>
-Question 17. How many ways can a committee of four people can be selected from five married couples if no committee is to include both husband-and-wife pairs? (simplify your answer to a single number)
+<span class = "biglink">[[004 Sample Final A, Problem 17|&nbsp;Question 17&nbsp;]]</span> <span class="exam"> How many ways can a committee of four people can be selected from five married couples if no committee is to include both husband-and-wife pairs? (simplify your answer to a single number)
-Question 18. Ten teams are entered in a bowling tournament. In how many ways can first, second, and third prizes be awarded? (simplify your answer to a single number)
+<span class = "biglink">[[004 Sample Final A, Problem 18|&nbsp;Question 18&nbsp;]]</span> <span class="exam"> Ten teams are entered in a bowling tournament. In how many ways can first, second, and third prizes be awarded? (simplify your answer to a single number)
-Question 19. Solve for x: &nbsp;&nbsp;&nbsp;&nbsp; <math>\log_6 \frac{1}{36} = x</math>
+<span class = "biglink">[[004 Sample Final A, Problem 19|&nbsp;Question 19&nbsp;]]</span> <span class="exam"> Solve for x: &nbsp;&nbsp;&nbsp;&nbsp; <math>\log_6 \frac{1}{36} = x</math>

@@ Line 12: / Line 12: @@
 <span class = "biglink">[[004 Sample Final A, Problem 5|&nbsp;Question 5&nbsp;]]</span> <span class="exam"> Describe how the graph of <math>f(x) = 3^{(x+1)} - 2</math> can be obtained from a basic graph. Then sketch the graph. Provide at least two ordered pairs, and the equation of any asymptote.
-Question 6. Simplify. &nbsp;&nbsp;&nbsp;&nbsp; <math>\frac{1}{3x + 6} - \frac{x}{x^2-4} + \frac{3}{x-2}</math>
+<span class = "biglink">[[004 Sample Final A, Problem 6|&nbsp;Question 6&nbsp;]]</span> <span class="exam"> Simplify. &nbsp;&nbsp;&nbsp;&nbsp; <math>\frac{1}{3x + 6} - \frac{x}{x^2-4} + \frac{3}{x-2}</math>
-Question 7. Given a sequence <math>10, y, 4, 1, \ldots</math> use formulae on the back page to compute <math>S_{20}</math>
+<span class = "biglink">[[004 Sample Final A, Problem 7|&nbsp;Question 7&nbsp;]]</span> <span class="exam"> Given a sequence <math>10, y, 4, 1, \ldots</math> use formulae on the back page to compute <math>S_{20}</math>
 Question 8 a) List all the possible zeros of the function.<br>

@@ Line 10: / Line 10: @@
 <span class = "biglink">[[004 Sample Final A, Problem 4|&nbsp;Question 4&nbsp;]]</span> <span class="exam"> Graph the system of inequalities. <math>y > 2x - 3 \qquad y \le 4-x^2</math>
-Question 5. Describe how the graph of <math>f(x) = 3^{(x+1)} - 2</math> can be obtained from a basic graph. Then sketch the graph. Provide at least two ordered pairs, and the equation of any asymptote.
+<span class = "biglink">[[004 Sample Final A, Problem 5|&nbsp;Question 5&nbsp;]]</span> <span class="exam"> Describe how the graph of <math>f(x) = 3^{(x+1)} - 2</math> can be obtained from a basic graph. Then sketch the graph. Provide at least two ordered pairs, and the equation of any asymptote.
 Question 6. Simplify. &nbsp;&nbsp;&nbsp;&nbsp; <math>\frac{1}{3x + 6} - \frac{x}{x^2-4} + \frac{3}{x-2}</math>

@@ Line 8: / Line 8: @@
 <span class = "biglink">[[004 Sample Final A, Problem 3|&nbsp;Question 3&nbsp;]]</span> <span class="exam"> Solve. Provide your solution in interval notation. &nbsp;&nbsp;&nbsp;&nbsp;<math>\vert 4x + 7\vert \ge 5</math>
-Question 4. Graph the system of inequalities. <math>y > 2x - 3 \qquad y \le 4-x^2</math>
+<span class = "biglink">[[004 Sample Final A, Problem 4|&nbsp;Question 4&nbsp;]]</span> <span class="exam"> Graph the system of inequalities. <math>y > 2x - 3 \qquad y \le 4-x^2</math>
 Question 5. Describe how the graph of <math>f(x) = 3^{(x+1)} - 2</math> can be obtained from a basic graph. Then sketch the graph. Provide at least two ordered pairs, and the equation of any asymptote.

← Older revision		Revision as of 22:13, 28 April 2015
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−	Question 3. Solve. Provide your solution in interval notation.     <math>\vert 4x + 7\vert \ge 5</math>	+	<span class = "biglink">[[004 Sample Final A, Problem 3\| Question 3 ]]</span> <span class="exam"> Solve. Provide your solution in interval notation.     <math>\vert 4x + 7\vert \ge 5</math>

	Question 4. Graph the system of inequalities. <math>y > 2x - 3 \qquad y \le 4-x^2</math>		Question 4. Graph the system of inequalities. <math>y > 2x - 3 \qquad y \le 4-x^2</math>