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# Diagnostic Tests:

• What is an answer?
Changed:
<
<
• Local BEGINANSWER =

Line: 1 to 1

# Diagnostic Tests:

• What is an answer?

Line: 1 to 1

# Diagnostic Tests:

• What is an answer?
Changed:
<
<
• Local BEGINANSWER =

Line: 1 to 1

# Diagnostic Tests:

• What is an answer?
Changed:
<
<
• Set# BEGINANSWER =
<--

• Set# SHOWWORK =

#### Revision 142007-04-12 - mst1

Line: 1 to 1

# Diagnostic Tests:

• What is an answer?
Changed:
<
<
• Set BEGINANSWER =
<--

• Set SHOWWORK =

#### Revision 132007-04-12 - DickFurnas

Line: 1 to 1

# Diagnostic Tests:

Added:
>
>
• What is an answer?
• Set BEGINANSWER =
<--

• Set SHOWWORK =

#### Revision 122007-04-12 - DickFurnas

Line: 1 to 1

# Diagnostic Tests:

 Welcome to the Math Support Center!
Deleted:
<
<
<--/twistyPlugin twikiMakeVisibleInline-->
Link to: MathTest for example MathMode syntax.
Changed:
<
<
<--/twistyPlugin-->
>
>

Table of Contents
Error during latex2img:
ERROR: problems during latex
INPUT:
\documentclass[fleqn,12pt]{article}
\usepackage{amsmath}
\usepackage[normal]{xcolor}
\setlength{\mathindent}{0cm}
\definecolor{teal}{rgb}{0,0.5,0.5}
\definecolor{navy}{rgb}{0,0,0.5}
\definecolor{aqua}{rgb}{0,1,1}
\definecolor{lime}{rgb}{0,1,0}
\definecolor{maroon}{rgb}{0.5,0,0}
\definecolor{silver}{gray}{0.75}
\usepackage{latexsym}
\begin{document}
\pagestyle{empty}
\pagecolor{white}
{
\color{black}
\begin{math}\displaystyle = \frac{\Pi}{6} radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = \frac{60\Pi}{360} radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle 30^{\circ} \dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = 2\Pi radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle \frac{\Pi}{6}\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = 360^{\circ}\end{math}
}
\clearpage
\end{document}
STDERR:
This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013)
restricted \write18 enabled.
entering extended mode
(/tmp/IUGzRXfkJU/ElWhUhiK_5
LaTeX2e <2011/06/27>
Babel  and hyphenation patterns for english, dumylang, nohyphenation, lo
aded.
(/usr/share/texlive/texmf-dist/tex/latex/base/article.cls
Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
(/usr/share/texlive/texmf-dist/tex/latex/base/fleqn.clo)
(/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the ?' option.
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
(/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/color.cfg)
(/usr/share/texlive/texmf-dist/tex/latex/graphics/dvips.def))
(/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty)
No file ElWhUhiK_5.aux.
(/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd) [1] [2]
! Extra }, or forgotten $. } l.27 \begin{math}\displaystyle 30^{\circ} \dot$
\frac{ 2\Pi radians }{ 360^{...

! Missing } inserted.

}
l.27 \begin{math}\displaystyle 30^{\circ} \dot $\frac{ 2\Pi radians }{ 360^{... ! Missing } inserted. } l.27 ...dot$\frac{ 2\Pi radians }{ 360^{\circ}$} \end{math} ! Extra }, or forgotten \endgroup. \frac #1#2->{\begingroup #1\endgroup \@@over #2} l.27 ...dot$\frac{ 2\Pi radians }{ 360^{\circ}$} \end{math} ! LaTeX Error: Bad math environment delimiter. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.27 ...{ 2\Pi radians }{ 360^{\circ}$ }\end{math}

[3] [4] [5] [6] (./ElWhUhiK_5.aux) )
(see the transcript file for additional information)
Output written on ElWhUhiK_5.dvi (6 pages, 1772 bytes).
Transcript written on ElWhUhiK_5.log.

Line: 30 to 25

### 1.

Changed:
<
<
<--/twistyPlugin twikiMakeVisibleInline-->
>
>

### 2.

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<
<--/twistyPlugin twikiMakeVisibleInline-->
>
>

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>
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>
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>
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### 12.

Changed:
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<
<--/twistyPlugin twikiMakeVisibleInline-->
>
>

## Trig

Answer the following questions without calculators or trig tables.
Leave answers like or as is.

#### Revision 112007-04-10 - DickFurnas

Line: 1 to 1

# Diagnostic Tests:

Line: 48 to 48

Added:
>
>
</>
<--/twistyPlugin-->

### 2.

#### Revision 102007-04-10 - DickFurnas

Line: 1 to 1

# Diagnostic Tests:

 Welcome to the Math Support Center!
Changed:
<
<
Link to: MathTest
>
>
<--/twistyPlugin twikiMakeVisibleInline-->

Link to: MathTest for example MathMode syntax.

<--/twistyPlugin-->

<--/twistyPlugin twikiMakeVisibleInline-->

What further explanation could you possibly want here???

<--/twistyPlugin-->

Table of Contents
Error during latex2img:
ERROR: problems during latex
INPUT:
\documentclass[fleqn,12pt]{article}
\usepackage{amsmath}
\usepackage[normal]{xcolor}
\setlength{\mathindent}{0cm}
\definecolor{teal}{rgb}{0,0.5,0.5}
\definecolor{navy}{rgb}{0,0,0.5}
\definecolor{aqua}{rgb}{0,1,1}
\definecolor{lime}{rgb}{0,1,0}
\definecolor{maroon}{rgb}{0.5,0,0}
\definecolor{silver}{gray}{0.75}
\usepackage{latexsym}
\begin{document}
\pagestyle{empty}
\pagecolor{white}
{
\color{black}
\begin{math}\displaystyle = \frac{\Pi}{6} radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = \frac{60\Pi}{360} radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle 30^{\circ} \dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = 2\Pi radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle \frac{\Pi}{6}\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = 360^{\circ}\end{math}
}
\clearpage
\end{document}
STDERR:
This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013)
restricted \write18 enabled.
entering extended mode
(/tmp/7Ly59C0Hb5/2dcZ3PvgNT
LaTeX2e <2011/06/27>
Babel  and hyphenation patterns for english, dumylang, nohyphenation, lo
aded.
(/usr/share/texlive/texmf-dist/tex/latex/base/article.cls
Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
(/usr/share/texlive/texmf-dist/tex/latex/base/fleqn.clo)
(/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the ?' option.
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
(/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/color.cfg)
(/usr/share/texlive/texmf-dist/tex/latex/graphics/dvips.def))
(/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty)
No file 2dcZ3PvgNT.aux.
(/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd) [1] [2]
! Extra }, or forgotten $. } l.27 \begin{math}\displaystyle 30^{\circ} \dot$
\frac{ 2\Pi radians }{ 360^{...

! Missing } inserted.

}
l.27 \begin{math}\displaystyle 30^{\circ} \dot $\frac{ 2\Pi radians }{ 360^{... ! Missing } inserted. } l.27 ...dot$\frac{ 2\Pi radians }{ 360^{\circ}$} \end{math} ! Extra }, or forgotten \endgroup. \frac #1#2->{\begingroup #1\endgroup \@@over #2} l.27 ...dot$\frac{ 2\Pi radians }{ 360^{\circ}$} \end{math} ! LaTeX Error: Bad math environment delimiter. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.27 ...{ 2\Pi radians }{ 360^{\circ}$ }\end{math}

[3] [4] [5] [6] (./2dcZ3PvgNT.aux) )
(see the transcript file for additional information)
Output written on 2dcZ3PvgNT.dvi (6 pages, 1772 bytes).
Transcript written on 2dcZ3PvgNT.log.

Line: 13 to 28
Combine and simplify expressions as much as possible.
Solve equations for x.
Deleted:
<
<
%RENDERLIST{"org" depth="2"}%

Changed:
<
<

### 1.

%TWISTY{mode="div" showlink="Show..." hidelink="Hide"
>
>

### 1.

<--/twistyPlugin twikiMakeVisibleInline-->

<--/twistyPlugin-->

### 2.

<--/twistyPlugin twikiMakeVisibleInline-->

<--/twistyPlugin-->

### 3.

<--/twistyPlugin twikiMakeVisibleInline-->

• Cannot be simplified.
• however, if we are told further that then we have a common factor in the denominator:
• , provided

<--/twistyPlugin-->

### 4.

%TWISTY{mode="div" showlink="Show Solution..." hidelink="Hide Solution"
showimgleft="/pub/TWiki/TWikiDocGraphics/toggleopen-small.gif" hideimgleft="/pub/TWiki/TWikiDocGraphics/toggleclose-small.gif" style="twikiHelp"}%
Changed:
<
<
>
>

Changed:
<
<

>
>
</>
<--/twistyPlugin-->
Changed:
<
<

### 2.

=
=
=
=
1. =
=
2. =
=
3. =
=
=
=
=
4. =
=
=
=
5. =
=
=
=
>
>

### 5.

<--/twistyPlugin twikiMakeVisibleInline-->

<--/twistyPlugin-->

### 6.

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<--/twistyPlugin twikiMakeVisibleInline-->

Added:
>
>

<--/twistyPlugin-->

### 8.

<--/twistyPlugin twikiMakeVisibleInline-->

• No algebraic simplification.
• however... A beautiful geometric simplification is possible:
• is the hypotenuse of the right triangle with sides and

<--/twistyPlugin-->

### 9.

<--/twistyPlugin twikiMakeVisibleInline-->

#### Alternatively:

Recall Pascal's Triangle:

                1    1
1    2    1
1    3    3    1
1    4     6    4     1
1    5   10   10    5    1


...in which elements in a row are the sum of the two elements in the row above it. These numbers are the Binomial Coefficients. is the cube of the binomial so the coefficients can be taken from the third row above: 1  3  3  1 and the exponents on start with and count down, while the exponents on start with and count up:

which simplifies to:

as previously.

<--/twistyPlugin-->

### 10.

<--/twistyPlugin twikiMakeVisibleInline-->

<--/twistyPlugin-->

### 11.

<--/twistyPlugin twikiMakeVisibleInline-->

if a product is zero one of its factors must be zero so:

either or or

and either or or

<--/twistyPlugin-->

### 12.

<--/twistyPlugin twikiMakeVisibleInline-->

<--/twistyPlugin twikiMakeVisibleInline-->

• Rearrange so the equation is of the form:
• and use the Quadratic Formula:
<--/twistyPlugin-->
<--/twistyPlugin-->

## Trig

Answer the following questions without calculators or trig tables.
Leave answers like or as is.
Changed:
<
<
1. Convert:
1. to radians.
2. to degrees.
3. to radians.
2. Evaluate:
3. Sketch the graph of
>
>

### 3. Sketch the graph of

(Make your vertical scale as large as possible.)
Changed:
<
<
1. Given
2. Solve the following right triangle:
>
>

### 5. Solve the following right triangle:

( i.e. determine missing sides and angles.)
Changed:
<
<
1. Relate to and
1. %#$\mbox{ \small$\sin{\frac{\pi}{2} -\theta}$}$%
2. %#$\mbox{ \small$\sin{2\theta}$}$%
2. Express in terms of of
>
>

### 7. Express in terms of and of and :

#### Revision 92007-04-08 - DickFurnas

Line: 1 to 1

# Diagnostic Tests:

Line: 16 to 16
%RENDERLIST{"org" depth="2"}%

### 1.

Changed:
<
<
• icon:see

### 1.

>
>
<--/twistyPlugin twikiMakeVisibleInline-->

<--/twistyPlugin-->

### 2.

=
=
=

#### Revision 82007-04-06 - DickFurnas

Line: 1 to 1

# Diagnostic Tests:

Line: 8 to 8

Table of Contents
Error during latex2img:
ERROR: problems during latex
INPUT:
\documentclass[fleqn,12pt]{article}
\usepackage{amsmath}
\usepackage[normal]{xcolor}
\setlength{\mathindent}{0cm}
\definecolor{teal}{rgb}{0,0.5,0.5}
\definecolor{navy}{rgb}{0,0,0.5}
\definecolor{aqua}{rgb}{0,1,1}
\definecolor{lime}{rgb}{0,1,0}
\definecolor{maroon}{rgb}{0.5,0,0}
\definecolor{silver}{gray}{0.75}
\usepackage{latexsym}
\begin{document}
\pagestyle{empty}
\pagecolor{white}
{
\color{black}
\begin{math}\displaystyle = \frac{\Pi}{6} radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = \frac{60\Pi}{360} radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle 30^{\circ} \dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = 2\Pi radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle \frac{\Pi}{6}\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = 360^{\circ}\end{math}
}
\clearpage
\end{document}
STDERR:
This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013)
restricted \write18 enabled.
entering extended mode
(/tmp/LgDXnnR6dy/K_H505mmUN
LaTeX2e <2011/06/27>
Babel  and hyphenation patterns for english, dumylang, nohyphenation, lo
aded.
(/usr/share/texlive/texmf-dist/tex/latex/base/article.cls
Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
(/usr/share/texlive/texmf-dist/tex/latex/base/fleqn.clo)
(/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the ?' option.
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
(/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/color.cfg)
(/usr/share/texlive/texmf-dist/tex/latex/graphics/dvips.def))
(/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty)
No file K_H505mmUN.aux.
(/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd) [1] [2]
! Extra }, or forgotten $. } l.27 \begin{math}\displaystyle 30^{\circ} \dot$
\frac{ 2\Pi radians }{ 360^{...

! Missing } inserted.

}
l.27 \begin{math}\displaystyle 30^{\circ} \dot $\frac{ 2\Pi radians }{ 360^{... ! Missing } inserted. } l.27 ...dot$\frac{ 2\Pi radians }{ 360^{\circ}$} \end{math} ! Extra }, or forgotten \endgroup. \frac #1#2->{\begingroup #1\endgroup \@@over #2} l.27 ...dot$\frac{ 2\Pi radians }{ 360^{\circ}$} \end{math} ! LaTeX Error: Bad math environment delimiter. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.27 ...{ 2\Pi radians }{ 360^{\circ}$ }\end{math}

[3] [4] [5] [6] (./K_H505mmUN.aux) )
(see the transcript file for additional information)
Output written on K_H505mmUN.dvi (6 pages, 1772 bytes).
Transcript written on K_H505mmUN.log.

Added:
>
>

## Algebra

Added:
>
>
Combine and simplify expressions as much as possible.
Solve equations for x.
Changed:
<
<
>
>
%RENDERLIST{"org" depth="2"}%

### 1.

• icon:see

### 1.

=
=
=
=
1. =
=

Changed:
<
<
>
>
=
=

Changed:
<
<
>
>
=
=
=
=
=

Changed:
<
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=
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Changed:
<
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>
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#### Revision 72007-03-08 - dsa2

Line: 1 to 1

# Diagnostic Tests:

Line: 18 to 18

Changed:
<
<
>
>

#### Revision 62007-03-08 - DickFurnas

Line: 1 to 1

# Diagnostic Tests:

Line: 12 to 12
Combine and simplify expressions as much as possible.
Solve equations for x.

Added:
>
>

Changed:
<
<
>
>

Added:
>
>

Added:
>
>

Added:
>
>

Added:
>
>

#### Revision 52007-03-03 - DickFurnas

Line: 1 to 1

# Diagnostic Tests:

Line: 34 to 34

Changed:
<
<
>
>
1. Sketch the graph of
(Make your vertical scale as large as possible.)
2. Given
3. Solve the following right triangle:
( i.e. determine missing sides and angles.)
4. Relate to and
1. %#$\mbox{ \small$\sin{\frac{\pi}{2} -\theta}$}$%
2. %#$\mbox{ \small$\sin{2\theta}$}$%
5. Express in terms of of

#### Revision 42007-03-02 - DickFurnas

Line: 1 to 1
Changed:
<
<

>
>

# Diagnostic Tests:

Welcome to the Math Support Center!

Link to: MathTest

Table of Contents
Error during latex2img:
ERROR: problems during latex
INPUT:
\documentclass[fleqn,12pt]{article}
\usepackage{amsmath}
\usepackage[normal]{xcolor}
\setlength{\mathindent}{0cm}
\definecolor{teal}{rgb}{0,0.5,0.5}
\definecolor{navy}{rgb}{0,0,0.5}
\definecolor{aqua}{rgb}{0,1,1}
\definecolor{lime}{rgb}{0,1,0}
\definecolor{maroon}{rgb}{0.5,0,0}
\definecolor{silver}{gray}{0.75}
\usepackage{latexsym}
\begin{document}
\pagestyle{empty}
\pagecolor{white}
{
\color{black}
\begin{math}\displaystyle = \frac{\Pi}{6} radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = \frac{60\Pi}{360} radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle 30^{\circ} \dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = 2\Pi radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle \frac{\Pi}{6}\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = 360^{\circ}\end{math}
}
\clearpage
\end{document}
STDERR:
This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013)
restricted \write18 enabled.
entering extended mode
(/tmp/bzMjVOZX6B/z0BimUNtuR
LaTeX2e <2011/06/27>
Babel  and hyphenation patterns for english, dumylang, nohyphenation, lo
aded.
(/usr/share/texlive/texmf-dist/tex/latex/base/article.cls
Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
(/usr/share/texlive/texmf-dist/tex/latex/base/fleqn.clo)
(/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the ?' option.
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
(/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/color.cfg)
(/usr/share/texlive/texmf-dist/tex/latex/graphics/dvips.def))
(/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty)
No file z0BimUNtuR.aux.
(/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd) [1] [2]
! Extra }, or forgotten $. } l.27 \begin{math}\displaystyle 30^{\circ} \dot$
\frac{ 2\Pi radians }{ 360^{...

! Missing } inserted.

}
l.27 \begin{math}\displaystyle 30^{\circ} \dot $\frac{ 2\Pi radians }{ 360^{... ! Missing } inserted. } l.27 ...dot$\frac{ 2\Pi radians }{ 360^{\circ}$} \end{math} ! Extra }, or forgotten \endgroup. \frac #1#2->{\begingroup #1\endgroup \@@over #2} l.27 ...dot$\frac{ 2\Pi radians }{ 360^{\circ}$} \end{math} ! LaTeX Error: Bad math environment delimiter. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.27 ...{ 2\Pi radians }{ 360^{\circ}$ }\end{math}

[3] [4] [5] [6] (./z0BimUNtuR.aux) )
(see the transcript file for additional information)
Output written on z0BimUNtuR.dvi (6 pages, 1772 bytes).
Transcript written on z0BimUNtuR.log.

Changed:
<
<

## Diagnostic Tests

### Algebra

Simplify, if possible:
>
>

## Algebra

Combine and simplify expressions as much as possible.
Solve equations for x.

Changed:
<
<
>
>

Changed:
<
<

>
>

## Trig

Answer the following questions without calculators or trig tables.
Leave answers like or as is.
1. Convert:
1. to radians.
2. to degrees.
3. to radians.
2. Evaluate:

#### Revision 32007-03-01 - DickFurnas

Line: 1 to 1

# Cornell University Mathematics Support Center

 Welcome to the Math Support Center!
Line: 33 to 33

-- DickFurnas - 01 Mar 2007

Added:
>
>
 META TOPICMOVED by="DickFurnas" date="1172782266" from="Main.MathSupportCenter" to="MSC.DiagnosticTest"

#### Revision 22007-03-01 - DickFurnas

Line: 1 to 1

# Cornell University Mathematics Support Center

 Welcome to the Math Support Center!
Added:
>
>
Link to: MathTest

Table of Contents

## Diagnostic Tests

### Algebra

Error during latex2img:
ERROR: problems during latex
INPUT:
\documentclass[fleqn,12pt]{article}
\usepackage{amsmath}
\usepackage[normal]{xcolor}
\setlength{\mathindent}{0cm}
\definecolor{teal}{rgb}{0,0.5,0.5}
\definecolor{navy}{rgb}{0,0,0.5}
\definecolor{aqua}{rgb}{0,1,1}
\definecolor{lime}{rgb}{0,1,0}
\definecolor{maroon}{rgb}{0.5,0,0}
\definecolor{silver}{gray}{0.75}
\usepackage{latexsym}
\begin{document}
\pagestyle{empty}
\pagecolor{white}
{
\color{black}
\begin{math}\displaystyle = \frac{\Pi}{6} radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = \frac{60\Pi}{360} radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle 30^{\circ} \dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = 2\Pi radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle \frac{\Pi}{6}\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = 360^{\circ}\end{math}
}
\clearpage
\end{document}
STDERR:
This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013)
restricted \write18 enabled.
entering extended mode
(/tmp/eAOJn9z4sf/XrcP4uNtn0
LaTeX2e <2011/06/27>
Babel  and hyphenation patterns for english, dumylang, nohyphenation, lo
aded.
(/usr/share/texlive/texmf-dist/tex/latex/base/article.cls
Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
(/usr/share/texlive/texmf-dist/tex/latex/base/fleqn.clo)
(/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the ?' option.
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
(/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/color.cfg)
(/usr/share/texlive/texmf-dist/tex/latex/graphics/dvips.def))
(/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty)
No file XrcP4uNtn0.aux.
(/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd) [1] [2]
! Extra }, or forgotten $. } l.27 \begin{math}\displaystyle 30^{\circ} \dot$
\frac{ 2\Pi radians }{ 360^{...

! Missing } inserted.

}
l.27 \begin{math}\displaystyle 30^{\circ} \dot $\frac{ 2\Pi radians }{ 360^{... ! Missing } inserted. } l.27 ...dot$\frac{ 2\Pi radians }{ 360^{\circ}$} \end{math} ! Extra }, or forgotten \endgroup. \frac #1#2->{\begingroup #1\endgroup \@@over #2} l.27 ...dot$\frac{ 2\Pi radians }{ 360^{\circ}$} \end{math} ! LaTeX Error: Bad math environment delimiter. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.27 ...{ 2\Pi radians }{ 360^{\circ}$ }\end{math}

[3] [4] [5] [6] (./XrcP4uNtn0.aux) )
(see the transcript file for additional information)
Output written on XrcP4uNtn0.dvi (6 pages, 1772 bytes).
Transcript written on XrcP4uNtn0.log.

Changed:
<
<
Simplify:
>
>
Simplify, if possible:

Changed:
<
<
>
>

### Trig

Added:
>
>

-- DickFurnas - 01 Mar 2007

#### Revision 12007-03-01 - DickFurnas

Line: 1 to 1
Added:
>
>

# Cornell University Mathematics Support Center

Welcome to the Math Support Center!
Table of Contents

## Diagnostic Tests

### Algebra

Simplify:

### Trig

-- DickFurnas - 01 Mar 2007

Error during latex2img:
ERROR: problems during latex
INPUT:
\documentclass[fleqn,12pt]{article}
\usepackage{amsmath}
\usepackage[normal]{xcolor}
\setlength{\mathindent}{0cm}
\definecolor{teal}{rgb}{0,0.5,0.5}
\definecolor{navy}{rgb}{0,0,0.5}
\definecolor{aqua}{rgb}{0,1,1}
\definecolor{lime}{rgb}{0,1,0}
\definecolor{maroon}{rgb}{0.5,0,0}
\definecolor{silver}{gray}{0.75}
\usepackage{latexsym}
\begin{document}
\pagestyle{empty}
\pagecolor{white}
{
\color{black}
\begin{math}\displaystyle = \frac{\Pi}{6} radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = \frac{60\Pi}{360} radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle 30^{\circ} \dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = 2\Pi radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle \frac{\Pi}{6}\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = 360^{\circ}\end{math}
}
\clearpage
\end{document}
STDERR:
This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013)
restricted \write18 enabled.
entering extended mode
(/tmp/NvMPumJyHc/rfi5bctMFh
LaTeX2e <2011/06/27>
Babel  and hyphenation patterns for english, dumylang, nohyphenation, lo
aded.
(/usr/share/texlive/texmf-dist/tex/latex/base/article.cls
Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
(/usr/share/texlive/texmf-dist/tex/latex/base/fleqn.clo)
(/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the ?' option.
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
(/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/color.cfg)
(/usr/share/texlive/texmf-dist/tex/latex/graphics/dvips.def))
(/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty)
No file rfi5bctMFh.aux.
(/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd) [1] [2]
! Extra }, or forgotten $. } l.27 \begin{math}\displaystyle 30^{\circ} \dot$
\frac{ 2\Pi radians }{ 360^{...

! Missing } inserted.

}
l.27 \begin{math}\displaystyle 30^{\circ} \dot $\frac{ 2\Pi radians }{ 360^{... ! Missing } inserted. } l.27 ...dot$\frac{ 2\Pi radians }{ 360^{\circ}$} \end{math} ! Extra }, or forgotten \endgroup. \frac #1#2->{\begingroup #1\endgroup \@@over #2} l.27 ...dot$\frac{ 2\Pi radians }{ 360^{\circ}$} \end{math} ! LaTeX Error: Bad math environment delimiter. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.27 ...{ 2\Pi radians }{ 360^{\circ}$ }\end{math}

[3] [4] [5] [6] (./rfi5bctMFh.aux) )
(see the transcript file for additional information)
Output written on rfi5bctMFh.dvi (6 pages, 1772 bytes).
Transcript written on rfi5bctMFh.log.


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