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6 changes: 3 additions & 3 deletions source/calculus/source/03-AD/07.ptx
Original file line number Diff line number Diff line change
Expand Up @@ -275,7 +275,7 @@ Note that some of the graphs below are definitely hard... might want to tell thi
</task>
<task><m>f(x)=\frac{x^2-4}{x^2-9}</m>
<answer>
Note that there is a horizontal asymptote at <m>y=1</m>.
<p>Note that there is a horizontal asymptote at <m>y=1</m>.</p>
<image>
<sageplot>
x = var('x')
Expand All @@ -295,7 +295,7 @@ Note that some of the graphs below are definitely hard... might want to tell thi
</answer></task>
<task><m>f(x)=\frac{x^2+x-2}{x+3}</m>
<answer>
Note that this graph has a slant asymptote of <m>y=x</m>.
<p>Note that this graph has a slant asymptote of <m>y=x</m>.</p>
<image>
<sageplot>
x = var('x')
Expand All @@ -305,7 +305,7 @@ Note that some of the graphs below are definitely hard... might want to tell thi
</answer></task>
<task><m>f(x)=\frac{x}{\sqrt{x^2+2}}</m>
<answer>
Note that this graph has horizontal asymptotes at <m>y=\pm 1</m>.
<p>Note that this graph has horizontal asymptotes at <m>y=\pm 1</m>.</p>
<image>
<sageplot>
x = var('x')
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45 changes: 26 additions & 19 deletions source/precalculus/source/01-EQ/03.ptx
Original file line number Diff line number Diff line change
Expand Up @@ -32,7 +32,7 @@
</p>
</statement>
<answer>
Point <m>C</m> should be at the point <m>(2,2)</m>.
<p>Point <m>C</m> should be at the point <m>(2,2)</m>.</p>
</answer>
</task>
<task>
Expand All @@ -42,9 +42,9 @@
</p>
</statement>
<answer>
<m>AC</m> is <m>4</m> units long.
<m>BC</m> is <m>2</m> units long.
Make sure students pay attention to the scale.
<p><m>AC</m> is <m>4</m> units long.
<m>BC</m> is <m>2</m> units long.</p>
<p>Make sure students pay attention to the scale.</p>
</answer>
</task>
<task>
Expand All @@ -54,7 +54,8 @@
</p>
</statement>
<answer>
Students should see that they can use the Pythagorean Theorem to find the length of side <m>AB</m> (which is <m>\sqrt{20}</m> or approximately <m>4.5</m>).
<p>Students should see that they can use the Pythagorean Theorem to find the length of
side <m>AB</m> (which is <m>\sqrt{20}</m> or approximately <m>4.5</m>).</p>
</answer>
</task>
</activity>
Expand All @@ -76,7 +77,8 @@
</p>
</statement>
<answer>
Students may need help in their drawing. Make sure the hypotenuse is the line segment that connects the two points.
<p>Students may need help in their drawing. Make sure the hypotenuse is the line segment that
connects the two points.</p>
</answer>
</task>
<task>
Expand All @@ -86,7 +88,9 @@
</p>
</statement>
<answer>
The lengths of the legs of the triangle should be <m>y_{2}-y_{1}</m> and <m>x_{2}-x_{1}</m> (or <m>y_{1}-y_{2}</m> and <m>x_{1}-x_{2}</m> depending on how students created their drawing).
<p>The lengths of the legs of the triangle should be <m>y_{2}-y_{1}</m> and
<m>x_{2}-x_{1}</m> (or <m>y_{1}-y_{2}</m> and <m>x_{1}-x_{2}</m> depending on
how students created their drawing).</p>
</answer>
</task>
<task>
Expand All @@ -96,7 +100,10 @@
</p>
</statement>
<answer>
Students should see the connection to the previous activity and apply the Pythagorean Theorem. They should get either <m>\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}</m> or <m>\sqrt{(x_{1}-x_{2})^2+(y_{1}-y_{2})^2}</m> to represent the length of the side that connects the two points.
<p>Students should see the connection to the previous activity and apply the Pythagorean
Theorem. They should get either <m>\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}</m> or
<m>\sqrt{(x_{1}-x_{2})^2+(y_{1}-y_{2})^2}</m> to represent the length of the side
that connects the two points.</p>
</answer>
</task>
</activity>
Expand Down Expand Up @@ -125,7 +132,7 @@
<li> <m>\sqrt{56}</m> </li></ol></p>
</statement>
<answer>
B and C
<p>B and C</p>
</answer>
</task>
<task>
Expand All @@ -138,7 +145,7 @@
<li> <m>\sqrt{61}</m> </li></ol></p>
</statement>
<answer>
B and D
<p>B and D</p>
</answer>
</task>
<task>
Expand All @@ -152,7 +159,7 @@
<li> <m>(-5,-5)</m> </li></ol></p>
</statement>
<answer>
B
<p>B</p>
</answer>
</task>
</activity>
Expand Down Expand Up @@ -193,7 +200,7 @@
<li> <m>(10,2)</m> </li></ol></p>
</statement>
<answer>
B
<p>B</p>
</answer>
</task>
<task>
Expand All @@ -206,7 +213,7 @@
<li> <m>(5,2)</m> </li></ol></p>
</statement>
<answer>
D
<p>D</p>
</answer>
</task>
<task>
Expand All @@ -219,7 +226,7 @@
<li> <m>(5,2)</m> </li></ol></p>
</statement>
<answer>
C
<p>C</p>
</answer>
</task>
<task>
Expand Down Expand Up @@ -260,7 +267,7 @@
<li> <m>(1,4)</m> </li></ol></p>
</statement>
<answer>
B
<p>B</p>
</answer>
</task>
<task>
Expand All @@ -273,7 +280,7 @@
<li> <m>(4,7)</m> </li></ol></p>
</statement>
<answer>
C
<p>C</p>
</answer>
</task>
<task>
Expand All @@ -286,7 +293,7 @@
<li> <m>(8,6)</m> </li></ol></p>
</statement>
<answer>
D
<p>D</p>
</answer>
</task>
</activity>
Expand All @@ -304,7 +311,7 @@
</p>
</statement>
<answer>
<m>\sqrt{113}</m> or <m>10.6</m>
<p><m>\sqrt{113}</m> or <m>10.6</m></p>
</answer>
</task>
<task>
Expand All @@ -314,7 +321,7 @@
</p>
</statement>
<answer>
<m>(2,1.5)</m>
<p><m>(2,1.5)</m></p>
</answer>
</task>
</activity>
Expand Down
4 changes: 2 additions & 2 deletions source/precalculus/source/03-LF/03.ptx
Original file line number Diff line number Diff line change
Expand Up @@ -30,7 +30,7 @@
</image>
</statement>
<answer>
Many answers possible.
<p>Many answers possible.</p>
</answer>
</task>

Expand Down Expand Up @@ -65,7 +65,7 @@
</image>
</statement>
<answer>
Just the one possible line.
<p>Just the one possible line.</p>
</answer>
</task>

Expand Down
4 changes: 2 additions & 2 deletions source/precalculus/source/03-LF/06.ptx
Original file line number Diff line number Diff line change
Expand Up @@ -179,7 +179,7 @@
</sageplot>
</image>
</p>
The point of intersection is <m>(1,1)</m>.
<p>The point of intersection is <m>(1,1)</m>.</p>
</answer>
</task>

Expand Down Expand Up @@ -229,7 +229,7 @@
</sageplot>
</image>
</p>
The point of intersection is not at a "nice" point, making it hard to see exactly where it is.
<p>The point of intersection is not at a "nice" point, making it hard to see exactly where it is.</p>
</answer>
</task>

Expand Down
8 changes: 4 additions & 4 deletions source/precalculus/source/05-EL/02.ptx
Original file line number Diff line number Diff line change
Expand Up @@ -105,7 +105,7 @@
</p>
</statement>
<answer>
E
<p>E</p>
</answer>
</task>

Expand All @@ -124,7 +124,7 @@
</p>
</statement>
<answer>
C
<p>C</p>
</answer>
</task>

Expand Down Expand Up @@ -332,7 +332,7 @@
</p>
</statement>
<answer>
C
<p>C</p>
</answer>
</task>

Expand All @@ -351,7 +351,7 @@
</p>
</statement>
<answer>
E
<p>E</p>
</answer>
</task>

Expand Down
8 changes: 4 additions & 4 deletions source/precalculus/source/05-EL/04.ptx
Original file line number Diff line number Diff line change
Expand Up @@ -134,7 +134,7 @@ p
</p>
</statement>
<answer>
D
<p>D</p>
</answer>
</task>

Expand All @@ -153,7 +153,7 @@ p
</p>
</statement>
<answer>
E
<p>E</p>
</answer>
</task>

Expand All @@ -171,7 +171,7 @@ p
</p>
</statement>
<answer>
A
<p>A</p>
</answer>
</task>

Expand All @@ -189,7 +189,7 @@ p
</p>
</statement>
<answer>
D
<p>D</p>
</answer>
</task>

Expand Down