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% Document Info
\author{Jianmin Feng (taotao)}
\pdfinfo{
  /Title (sat-math-basic-concepts.pdf)
  /Creator (Cheatography)
  /Author (Jianmin Feng (taotao))
  /Subject (SAT Math basic concepts Cheat Sheet)
}

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        \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}}
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\begin{tabulary}{11cm}{L}
    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{SAT Math basic concepts Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{Jianmin Feng (taotao)} via \textcolor{DarkBackground}{\uline{cheatography.com/79308/cs/20367/}}}
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  \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}}  \\
  \vspace{-2pt}Jianmin Feng (taotao) \\
  \uline{cheatography.com/taotao} \\
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  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Not Yet Published.\\
   Updated 1st September, 2019.\\
   Page {\thepage} of \pageref{LastPage}.
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  Measure your website readability!\\
  www.readability-score.com
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\begin{document}
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% from this page to resize cheat sheet text:
% www.emerson.emory.edu/services/latex/latex_169.html
\footnotesize % Small font.

\begin{multicols*}{2}

\begin{tabularx}{8.4cm}{x{2.72 cm} x{5.28 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Basic concept}}  \tn
% Row 0
\SetRowColor{LightBackground}
Basic concepts & algebra numbers \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
power /sqrt & different format of same expression \tn 
% Row Count 4 (+ 2)
% Row 2
\SetRowColor{LightBackground}
 & \seqsplit{MADSPM:multiplication/division/power} multiply \tn 
% Row Count 6 (+ 2)
% Row 3
\SetRowColor{white}
 & 3\textasciicircum{}0\textasciicircum{}=1;3\textasciicircum{}1\textasciicircum{}=3;1\textasciicircum{}n\textasciicircum{}=1 \tn 
% Row Count 7 (+ 1)
% Row 4
\SetRowColor{LightBackground}
 & minus power: reciprocal, 3\textasciicircum{}-1\textasciicircum{}=1/3; 3\textasciicircum{}-2\textasciicircum{}=1/sqrt(3) \tn 
% Row Count 9 (+ 2)
% Row 5
\SetRowColor{white}
 & square root:x\textasciicircum{}1/2\textasciicircum{} \tn 
% Row Count 10 (+ 1)
% Row 6
\SetRowColor{LightBackground}
Solve the equeation & move variables to onside; do same op on both side \tn 
% Row Count 12 (+ 2)
% Row 7
\SetRowColor{white}
 & Solve the inequalities:same as equation, negative change direction \tn 
% Row Count 15 (+ 3)
% Row 8
\SetRowColor{LightBackground}
 & Solving ration equation:common denominator; zero denominutor(no solution); infinite solution \tn 
% Row Count 19 (+ 4)
% Row 9
\SetRowColor{white}
Absolute number & Solution is negative? \tn 
% Row Count 21 (+ 2)
% Row 10
\SetRowColor{LightBackground}
simultaneous equation & multiple/add/subtract together; solve the equation to get the solution \tn 
% Row Count 24 (+ 3)
% Row 11
\SetRowColor{white}
Word =\textgreater{}equation & is, are, were, did, does, costs =;  what (or any unknown value) any variable (x, y, k, b) ;  more, sum + ;  less, difference − of, times, product × (multiply) ratio, quotient, out of, per ÷ (divide) \tn 
% Row Count 32 (+ 8)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

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% Row 0
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\mymulticolumn{2}{x{8.4cm}}{coordinate plane} \tn 
% Row Count 1 (+ 1)
% Row 1
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\seqsplit{slope-intercept} form & y=ax+b \tn 
% Row Count 3 (+ 2)
% Row 2
\SetRowColor{LightBackground}
 & parallel lines: no solution \tn 
% Row Count 5 (+ 2)
% Row 3
\SetRowColor{white}
 & perpendicular lines: negative reciprocal slope) \tn 
% Row Count 7 (+ 2)
% Row 4
\SetRowColor{LightBackground}
distance formula & Pythagorean triplets 3-4-5,5-12-13 \tn 
% Row Count 9 (+ 2)
% Row 5
\SetRowColor{white}
 & sqrt((x1-x2)\textasciicircum{}2\textasciicircum{} + (y1-y2)\textasciicircum{}2\textasciicircum{}) \tn 
% Row Count 11 (+ 2)
% Row 6
\SetRowColor{LightBackground}
 & midpoint formula \tn 
% Row Count 12 (+ 1)
% Row 7
\SetRowColor{white}
point of intersection & solve x: formula 1=formula 2 \tn 
% Row Count 14 (+ 2)
% Row 8
\SetRowColor{LightBackground}
 & solve y: plug back in x \tn 
% Row Count 15 (+ 1)
% Row 9
\SetRowColor{white}
 & Other: PITA(arithmetic), graph (no linear) \tn 
% Row Count 17 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
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\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{1.84 cm} x{6.16 cm} }
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\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{Charts and graphs}}  \tn
% Row 0
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\mymulticolumn{2}{x{8.4cm}}{Scatterplot} \tn 
% Row Count 1 (+ 1)
% Row 1
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% Row Count 2 (+ 1)
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\mymulticolumn{2}{x{8.4cm}}{Bar Graph (or Histogram)} \tn 
% Row Count 3 (+ 1)
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\mymulticolumn{2}{x{8.4cm}}{Two-Way Table} \tn 
% Row Count 4 (+ 1)
% Row 4
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Figure Facts & variable, unit, relation,legend ruler \tn 
% Row Count 6 (+ 2)
% Row 5
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\seqsplit{probbability} & \# of outcomes you want/ \#of possible outcome \tn 
% Row Count 8 (+ 2)
% Row 6
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\mymulticolumn{2}{x{8.4cm}}{GRIDS-INS} \tn 
% Row Count 9 (+ 1)
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\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
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\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{summery}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{Review basic definitions again before the test to make sure you don't get stuck on the "little words."} \tn 
% Row Count 3 (+ 3)
% Row 1
\SetRowColor{white}
\mymulticolumn{1}{x{8.4cm}}{When you have to manipulate exponents, remember your MADSPM rules} \tn 
% Row Count 5 (+ 2)
% Row 2
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{To solve equations for a variable, isolate the variable. Make sure you perform the same operations on both sides of the equation} \tn 
% Row Count 8 (+ 3)
% Row 3
\SetRowColor{white}
\mymulticolumn{1}{x{8.4cm}}{Inequalities can be worked just like equations, until you have to multiply or divide by a negative number. Then you need to flip the inequality sign.} \tn 
% Row Count 11 (+ 3)
% Row 4
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{When solving radical and rational equations, be on the lookout for extraneous solutions. They are answers you get that don't work when plugged back into the original equation.} \tn 
% Row Count 15 (+ 4)
% Row 5
\SetRowColor{white}
\mymulticolumn{1}{x{8.4cm}}{The absolute value of a number is the positive distance from zero, or practically, making the thing inside the | | sign positive. Everything inside the | | is equal to the positive and the negative value of the expression to which it is equal. Also remember that | | work like ( ); you need to complete all the operations inside the | | before you can make the value positive.} \tn 
% Row Count 23 (+ 8)
% Row 6
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{To solve simultaneous equations, simply add or subtract the equations. If you don't have the answer, look for multiples of your solutions. When the simultaneous equation question asks for a single variable and addition and subtraction don't work, try to make something disappear. Multiply the equations by a constant to make the coefficient(s) of the variable(s) you want go to zero when the equations are added or subtracted.} \tn 
% Row Count 32 (+ 9)
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\par\addvspace{1.3em}

\vfill
\columnbreak
\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{summery (cont)}}  \tn
% Row 7
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\mymulticolumn{1}{x{8.4cm}}{When writing a system of equations, start with the most straightforward piece of information.} \tn 
% Row Count 2 (+ 2)
% Row 8
\SetRowColor{white}
\mymulticolumn{1}{x{8.4cm}}{You can also use the equations in the answer choices to help you narrow down the possibilities for your equations. Eliminate any answers in which an equation doesn't match your equation.} \tn 
% Row Count 6 (+ 4)
% Row 9
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{Parallel lines have the same slope and no solutions. If two lines have the same slope and infinitely many solutions, they are actually the same line. Perpendicular lines have slopes that are negative reciprocals of one another.} \tn 
% Row Count 11 (+ 5)
% Row 10
\SetRowColor{white}
\mymulticolumn{1}{x{8.4cm}}{Rather than worrying about the distance formula, connect the two points and make the resulting line the hypotenuse of a right triangle. Then you can use the Pythagorean Theorem to find the distance.} \tn 
% Row Count 15 (+ 4)
% Row 11
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{The coordinates of the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) will be .} \tn 
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% Row 12
\SetRowColor{white}
\mymulticolumn{1}{x{8.4cm}}{When you encounter charts, carefully check the chart for information you should note, and remember that you can use your answer sheet as a ruler to help you locate information or to draw a line of best fit.} \tn 
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% Row 13
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{Probability is a fractional value between 0 and 1 (inclusive), and it is equal to the number of outcomes the question is asking for divided by the total number of possible outcomes. It can also be expressed as a percent.} \tn 
% Row Count 27 (+ 5)
% Row 14
\SetRowColor{white}
\mymulticolumn{1}{x{8.4cm}}{When doing Grid-In questions, be sure to keep to the left, and don't bother reducing fractions if they fit in the allotted spaces.} \tn 
% Row Count 30 (+ 3)
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}


% That's all folks
\end{multicols*}

\end{document}