004 Sample Final A, Problem 6 - Revision history

Kayla Murray at 22:58, 4 May 2015

2015-05-04T22:58:08Z

2015-05-04T22:45:02Z

2015-05-01T04:10:32Z

2015-04-28T22:35:12Z

Created page with "<span class="exam"> Simplify. <math>\frac{1}{3x + 6} - \frac{x}{x^2-4} + \frac{3}{x-2}</math>"

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<span class="exam"> Simplify.      <math>\frac{1}{3x + 6} - \frac{x}{x^2-4} + \frac{3}{x-2}</math>

@@ Line 18: / Line 18: @@
 ! Step 1:
 |-
+|If we factor the denominators, we have <math>\frac{1}{3(x+2)} - \frac{x}{(x+2)(x-2)} + \frac{3}{x-2}</math>.
 |-
+|So, the common denominator of these three fractions is <math>3(x-2)(x+2)</math>.
 |}
@@ Line 26: / Line 26: @@
 ! Step 2:
 |-
+|So, we have <math>\frac{1}{3(x+2)} - \frac{x}{(x+2)(x-2)} + \frac{3}{x-2}=\frac{x-2}{3(x-2)(x+2)} - \frac{3x}{3(x+2)(x-2)} + \frac{3(3)(x+2)}{3(x+2)(x-2)}</math>.
 |}
@@ Line 32: / Line 32: @@
 ! Step 3:
 |-
+|Now, combining into one fraction, we have <math>\frac{x-2-3x+3(3)(x+2)}{3(x-2)(x+2)}=\frac{7x+16}{3(x-2)(x+2)} </math>
 |}
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 ! Final Answer:
 |-
+|<math>\frac{7x+16}{3(x-2)(x+2)} </math>
 |}
 [[004 Sample Final A|<u>'''Return to Sample Exam</u>''']]

@@ Line 3: / Line 3: @@
 ! Foundations
 |-
+|How do you simplify <math>\frac{1}{x}+\frac{1}{x+2}</math> into one fraction?
 |-
 |Answer:
 |-
+|You need to get a common denominator. The common denominator is <math>x(x+2)</math>. So,
 |}

← Older revision		Revision as of 04:10, 1 May 2015
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	<span class="exam"> Simplify.      <math>\frac{1}{3x + 6} - \frac{x}{x^2-4} + \frac{3}{x-2}</math>		<span class="exam"> Simplify.      <math>\frac{1}{3x + 6} - \frac{x}{x^2-4} + \frac{3}{x-2}</math>
		+	{\| class="mw-collapsible mw-collapsed" style = "text-align:left;"
		+	! Foundations
		+	\|-
		+	\|
		+	\|-
		+	\|Answer:
		+	\|-
		+	\|
		+	\|}
		+
		+
		+	Solution:
		+
		+	{\| class = "mw-collapsible mw-collapsed" style = "text-align:left;"
		+	! Step 1:
		+	\|-
		+	\|
		+	\|-
		+	\|
		+	\|}
		+
		+	{\|class = "mw-collapsible mw-collapsed" style = "text-align:left;"
		+	! Step 2:
		+	\|-
		+	\|
		+	\|}
		+
		+	{\|class = "mw-collapsible mw-collapsed" style = "text-align:left;"
		+	! Step 3:
		+	\|-
		+	\|
		+	\|-
		+	\|
		+	\|-
		+	\|
		+	\|-
		+	\|
		+	\|}
		+
		+	{\|class = "mw-collapsible mw-collapsed" style = "text-align:left;"
		+	! Step 4:
		+	\|-
		+	\|
		+	\|-
		+	\|
		+	\|-
		+	\|
		+	\|}
		+
		+	{\|class = "mw-collapsible mw-collapsed" style = "text-align:left;"
		+	! Final Answer:
		+	\|-
		+	\|
		+	\|}
		+
		+	[[004 Sample Final A\|<u>'''Return to Sample Exam</u>''']]