008A Sample Final A, Question 7 - Revision history

MathAdmin at 06:53, 26 May 2015

2015-05-26T06:53:33Z

MathAdmin at 06:53, 26 May 2015

2015-05-26T06:53:10Z

MathAdmin at 19:30, 23 May 2015

2015-05-23T19:30:54Z

MathAdmin: Created page with "'''Question:''' Solve $2\vert 3x-4\vert -7 = 7$ {| class="mw-collapsible mw-collapsed" style = "text-align:left;" !Foundations |- |1) How do we get to the first ke..."

2015-04-28T21:09:10Z

Created page with "'''Question:''' Solve <math>2\vert 3x-4\vert -7 = 7</math> {| class="mw-collapsible mw-collapsed" style = "text-align:left;" !Foundations |- |1) How do we get to the first ke..."

New page

'''Question:''' Solve <math>2\vert 3x-4\vert -7 = 7</math>

{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
!Foundations
|-
|1) How do we get to the first key step in solving any function involving absolute value equations?
|-
|2) How do we solve absolute value equations?
|-
|Answer:
|-
|1) We isolate everything inside of the absolute value signs.
|-
|2) We create two equations based on whether the expression inside the absolute value is positive or negative.
|-
|Then we solve both equations.
|}

Solution:

{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
! Step 1:
|-
|Isolate the absolute values. First by adding 7 to both sides, then dividing both sides by 2.
|-
|This leads to <math>\vert 3x - 4\vert = 7.</math>
|}

{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
! Step 2:
|-
|Now we create two equations: <math>3x - 4 = 7</math> and <math>3x - 4 = -7</math>.
|}

{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
! Step 3:
|-
|Now we solve both equations. The first leads to the solution <math>x = \frac{11}{3}</math>. The second leads to <math>x = -1</math>
|}

{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
! Final Solution:
|-
|<math>x = \frac{11}{3}, -1</math>
|}
[[008A Sample Final A|<u>'''Return to Sample Exam</u>''']]

@@ Line 40: / Line 40: @@
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"
-! Final Solution: &nbsp;
+! Final Answer: &nbsp;
 |-
 |<math>x = \frac{11}{3}, -1</math>
 |}
 [[008A Sample Final A|<u>'''Return to Sample Exam</u>''']]

@@ Line 2: / Line 2: @@
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"
-!Foundations
+!Foundations: &nbsp;
 |-
 |1) How do we get to the first key step in solving any function involving absolute value equations?
@@ Line 20: / Line 20: @@
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"
-! Step 1:
+! Step 1: &nbsp;
 |-
 |Isolate the absolute values. First by adding 7 to both sides, then dividing both sides by 2.
@@ Line 28: / Line 28: @@
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"
-! Step 2:
+! Step 2: &nbsp;
 |-
 |Now we create two equations: <math>3x - 4 = 7</math> and <math>3x - 4 = -7</math>.
@@ Line 34: / Line 34: @@
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"
-! Step 3:
+! Step 3: &nbsp;
 |-
 |Now we solve both equations. The first leads to the solution <math>x = \frac{11}{3}</math>. The second leads to <math>x = -1</math>
@@ Line 40: / Line 40: @@
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"
-! Final Solution:
+! Final Solution: &nbsp;
 |-
 |<math>x = \frac{11}{3}, -1</math>
 |}
 [[008A Sample Final A|<u>'''Return to Sample Exam</u>''']]

@@ Line 6: / Line 6: @@
 |1) How do we get to the first key step in solving any function involving absolute value equations?
 |-
-|2) How do we solve absolute value equations?
+|2) After this first key step how do we finish solving absolute value equations?
 |-
 |Answer:
 |-
-|1) We isolate everything inside of the absolute value signs.
+|1) We isolate the absolute value sign, so in this case we isolate <math>\vert 3x - 4\vert</math>.
 |-
 |2) We create two equations based on whether the expression inside the absolute value is positive or negative.

008A Sample Final A, Question 7 - Revision history

MathAdmin at 06:53, 26 May 2015

MathAdmin at 06:53, 26 May 2015

MathAdmin at 19:30, 23 May 2015

MathAdmin: Created page with "'''Question:''' Solve 2\vert 3x-4\vert -7 = 7 {| class="mw-collapsible mw-collapsed" style = "text-align:left;" !Foundations |- |1) How do we get to the first ke..."

MathAdmin: Created page with "'''Question:''' Solve $2\vert 3x-4\vert -7 = 7$ {| class="mw-collapsible mw-collapsed" style = "text-align:left;" !Foundations |- |1) How do we get to the first ke..."