\documentclass[10pt,a4paper]{article} % Packages \usepackage{fancyhdr} % For header and footer \usepackage{multicol} % Allows multicols in tables \usepackage{tabularx} % Intelligent column widths \usepackage{tabulary} % Used in header and footer \usepackage{hhline} % Border under tables \usepackage{graphicx} % For images \usepackage{xcolor} % For hex colours %\usepackage[utf8x]{inputenc} % For unicode character support \usepackage[T1]{fontenc} % Without this we get weird character replacements \usepackage{colortbl} % For coloured tables \usepackage{setspace} % For line height \usepackage{lastpage} % Needed for total page number \usepackage{seqsplit} % Splits long words. %\usepackage{opensans} % Can't make this work so far. Shame. Would be lovely. \usepackage[normalem]{ulem} % For underlining links % Most of the following are not required for the majority % of cheat sheets but are needed for some symbol support. \usepackage{amsmath} % Symbols \usepackage{MnSymbol} % Symbols \usepackage{wasysym} % Symbols %\usepackage[english,german,french,spanish,italian]{babel} % Languages % Document Info \author{cheekykid} \pdfinfo{ /Title (pre-algebre-7-6.pdf) /Creator (Cheatography) /Author (cheekykid) /Subject (Pré algèbre - 7-6 Cheat Sheet) } % Lengths and widths \addtolength{\textwidth}{6cm} \addtolength{\textheight}{-1cm} \addtolength{\hoffset}{-3cm} \addtolength{\voffset}{-2cm} \setlength{\tabcolsep}{0.2cm} % Space between columns \setlength{\headsep}{-12pt} % Reduce space between header and content \setlength{\headheight}{85pt} % If less, LaTeX automatically increases it \renewcommand{\footrulewidth}{0pt} % Remove footer line \renewcommand{\headrulewidth}{0pt} % Remove header line \renewcommand{\seqinsert}{\ifmmode\allowbreak\else\-\fi} % Hyphens in seqsplit % This two commands together give roughly % the right line height in the tables \renewcommand{\arraystretch}{1.3} \onehalfspacing % Commands \newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour \newcommand{\mymulticolumn}[3]{\multicolumn{#1}{>{\columncolor{\RowColorName}}#2}{#3}} % For coloured multi-cols \newcolumntype{x}[1]{>{\raggedright}p{#1}} % New column types for ragged-right paragraph columns \newcommand{\tn}{\tabularnewline} % Required as custom column type in use % Font and Colours \definecolor{HeadBackground}{HTML}{333333} \definecolor{FootBackground}{HTML}{666666} \definecolor{TextColor}{HTML}{333333} \definecolor{DarkBackground}{HTML}{318F9A} \definecolor{LightBackground}{HTML}{F2F8F8} \renewcommand{\familydefault}{\sfdefault} \color{TextColor} % Header and Footer \pagestyle{fancy} \fancyhead{} % Set header to blank \fancyfoot{} % Set footer to blank \fancyhead[L]{ \noindent \begin{multicols}{3} \begin{tabulary}{5.8cm}{C} \SetRowColor{DarkBackground} \vspace{-7pt} {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}} } \end{tabulary} \columnbreak \begin{tabulary}{11cm}{L} \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{Pré algèbre - 7-6 Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{cheekykid} via \textcolor{DarkBackground}{\uline{cheatography.com/201475/cs/42645/}}} \end{tabulary} \end{multicols}} \fancyfoot[L]{ \footnotesize \noindent \begin{multicols}{3} \begin{tabulary}{5.8cm}{LL} \SetRowColor{FootBackground} \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}} \\ \vspace{-2pt}cheekykid \\ \uline{cheatography.com/cheekykid} \\ \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}} \\ \vspace{-2pt}Not Yet Published.\\ Updated 7th March, 2024.\\ Page {\thepage} of \pageref{LastPage}. \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}} \\ \SetRowColor{white} \vspace{-5pt} %\includegraphics[width=48px,height=48px]{dave.jpeg} Measure your website readability!\\ www.readability-score.com \end{tabulary} \end{multicols}} \begin{document} \raggedright \raggedcolumns % Set font size to small. Switch to any value % from this page to resize cheat sheet text: % www.emerson.emory.edu/services/latex/latex_169.html \footnotesize % Small font. \begin{multicols*}{3} \begin{tabularx}{5.377cm}{x{2.18988 cm} x{2.78712 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Vocabulaire}} \tn % Row 0 \SetRowColor{LightBackground} une expression algébrique & un énoncé mathématique formé de variables et des nombres, reliées par des opérations mathématiques \tn % Row Count 5 (+ 5) % Row 1 \SetRowColor{white} évaluer & le calcul de la valeur numérique d'une expression algébrique, en remplaçant la variable par une valeur \tn % Row Count 10 (+ 5) % Row 2 \SetRowColor{LightBackground} une variable & une lettre à laquelle on peut attribuer différentes valeurs; sa valeur {\emph{varie}} selon la situation; \{\{nl\}\}fait partie d'une expression algébrique \tn % Row Count 17 (+ 7) % Row 3 \SetRowColor{white} un coefficient numérique (COE) & un nombre qui multiple une ou plusieurs variables; \{\{nl\}\}fait partie d'une expression algébrique; \{\{nl\}\}positive ou négative \tn % Row Count 23 (+ 6) % Row 4 \SetRowColor{LightBackground} un terme constant & un nombre qui ne multiplie pas une variable; \{\{nl\}\}fait parti d'une expression algébrique; \{\{nl\}\}positive ou négative \tn % Row Count 29 (+ 6) % Row 5 \SetRowColor{white} un terme & un élément d'une expression algébrique; peut être numérique (constant) ou algébrique (contenant une variable) \tn % Row Count 35 (+ 6) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{p{0.4577 cm} x{1.51041 cm} x{2.60889 cm} } \SetRowColor{DarkBackground} \mymulticolumn{3}{x{5.377cm}}{\bf\textcolor{white}{Ordre des opérations}} \tn % Row 0 \SetRowColor{LightBackground} P & Paranthèses & ( ), {[} {]} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} E & Exposants & {\emph{a}}\textasciicircum{}2\textasciicircum{}, {\emph{b}}\textasciicircum{}3\textasciicircum{}, {\emph{c}}\textasciicircum{}4\textasciicircum{}, etc. \tn % Row Count 3 (+ 2) % Row 2 \SetRowColor{LightBackground} M & \seqsplit{Multiplication} & 3•{\emph{p}}, 3x{\emph{p}}, 3{\emph{p}} \tn % Row Count 5 (+ 2) % Row 3 \SetRowColor{white} D & Division & 3÷{\emph{n}}, 3/{\emph{n}}, (1/3){\emph{n}} \tn % Row Count 7 (+ 2) % Row 4 \SetRowColor{LightBackground} A & Addition & {\emph{a}}+{\emph{b}} \tn % Row Count 8 (+ 1) % Row 5 \SetRowColor{white} S & Soustraction & {\emph{a}}-{\emph{b}} \tn % Row Count 9 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}---} \SetRowColor{LightBackground} \mymulticolumn{3}{x{5.377cm}}{Pour la multiplication/division et l'addition/soustraction, on commence de la gauche vers la droite.} \tn \hhline{>{\arrayrulecolor{DarkBackground}}---} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Quelques règles importants des maths}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}a + b = b + a} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}a • b = b • a; a x b = b x a; ab = ba} \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}a + (b + c) = (a + b) + c} \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}a • b • c = a • (b • c) = (a • b) • c} \tn % Row Count 5 (+ 2) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}a • (b + c) = a • b + a • c} \tn % Row Count 6 (+ 1) % Row 5 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}a - b = a + (-b)} \tn % Row Count 7 (+ 1) % Row 6 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}-a = -1 • a} \tn % Row Count 8 (+ 1) % Row 7 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}a = 1 • a} \tn % Row Count 9 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Signes semblables - additionnez-les!}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\} (+5) + (+3) = (+8) \{\{nl\}\} signes semblables - additionnez-les!} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}(-5) - (+3) = (-5) + (-3) = (-8) \{\{nl\}\} signes semblables - additionnez-les!} \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}(+5) - (-3) = (+5) {\bf{+}} (+3) = (+8) \{\{nl\}\} signes semblables - additionnez-les!} \tn % Row Count 6 (+ 2) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}(+2) + (+7) = (+9) \{\{nl\}\} signes semblables - additionnez-les!} \tn % Row Count 8 (+ 2) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}(-2) - (+7) = (-2) + (-7) = (-9) \{\{nl\}\} signes semblables - additionnez-les!} \tn % Row Count 10 (+ 2) % Row 5 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\} (+2) - (-7) = (+2) + (+7) = (+9) \{\{nl\}\} signes semblables - additionnez-les!} \tn % Row Count 12 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{2.4885 cm} x{2.4885 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Les opérations et le système des signes}} \tn % Row 0 \SetRowColor{LightBackground} {\bf{signes semblables}} & {\bf{signes opposés}} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \{\{ac\}\}(+) • (+) = (+) & \{\{ac\}\}(+) • (-) = (-) \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} \{\{ac\}\}(-) • (-) = (+) & \{\{ac\}\}(-) • (+) = (-) \tn % Row Count 6 (+ 2) % Row 3 \SetRowColor{white} \{\{ac\}\}(+) / (+) = (+) & \{\{ac\}\}(+) / (-) = (-) \tn % Row Count 8 (+ 2) % Row 4 \SetRowColor{LightBackground} \{\{ac\}\}(-) / (-) = (+) & \{\{ac\}\}(-) / (+) = (-) \tn % Row Count 10 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{L'addition des signes semblables}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}{\bf{(+) + (+) = (+)}}} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}(+5) + (+3) = (+8) \{\{nl\}\} signes semblables ({\bf{+}})} \tn % Row Count 3 (+ 2) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\} {\bf{(-) + (-) = (-) - (+) = (-)}}} \tn % Row Count 4 (+ 1) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}-5 - 3 = (-5) + (-3) = -8 \{\{nl\}\} signes semblables ({\bf{-}})} \tn % Row Count 6 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{L'addition des signes opposés}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}{\bf{(+) - (+) = (+) + (-) = (+ ou -)}} \{\{nl\}\} le signe du plus grand nombre détermine le signe de la réponse} \tn % Row Count 3 (+ 3) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}(+5) - (+3) = (+5) + (-3) = (+2) \{\{nl\}\} 5 est plus grand que 3, donc la réponse sera {\bf{positive}}} \tn % Row Count 6 (+ 3) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}(+3) - (+5) = (+3) + (-5) = (-2) \{\{nl\}\} 5 est plus grand que 3, donc la réponse sera {\bf{négative}}} \tn % Row Count 9 (+ 3) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\} {\bf{(-) + (-) = (-) - (+) = (-)}}} \tn % Row Count 10 (+ 1) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{\{\{ac\}\}(-5) - (+3) = (-5) + (-3) = -8 \{\{nl\}\} signes semblables ({\bf{-}})} \tn % Row Count 12 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}