\(\text{www.the}\beta\text{etafunction.com}\)
Home
Login
Questions: Algebra BusinessCalculus
Please login to create an exam or a quiz.
Solve \(\displaystyle | 5 x + 5 |=60\)
Splitting into two linear equations gives \(\displaystyle 5 x + 5=-60\) and \(\displaystyle 5 x + 5=60\). Solving gives the two solutions \(\displaystyle x=11\) and \(\displaystyle x=-13\)
\begin{question}Solve $| 5 x + 5 |=60$
\soln{9cm}{Splitting into two linear equations gives $5 x + 5=-60$ and $5 x + 5=60$. Solving gives the two solutions $x=11$ and $x=-13$}
\end{question}
\documentclass{article}
\usepackage{tikz}
\usepackage{amsmath}
\usepackage[margin=2cm]{geometry}
\usepackage{tcolorbox}
\newcounter{ExamNumber}
\newcounter{questioncount}
\stepcounter{questioncount}
\newenvironment{question}{{\noindent\bfseries Question \arabic{questioncount}.}}{\stepcounter{questioncount}}
\renewcommand{\labelenumi}{{\bfseries (\alph{enumi})}}
\newif\ifShowSolution
\newcommand{\soln}[2]{%
\ifShowSolution%
\noindent\begin{tcolorbox}[colframe=blue,title=Solution]#2\end{tcolorbox}\else%
\vspace{#1}%
\fi%
}%
\newcommand{\hideifShowSolution}[1]{%
\ifShowSolution%
%
\else%
#1%
\fi%
}%
\everymath{\displaystyle}
\ShowSolutiontrue
\begin{document}\begin{question}(10pts) The question goes here!
\soln{9cm}{The solution goes here.}
\end{question}\end{document}<p> <p>Solve <img class="equation_image" title=" \displaystyle | 5 x + 5 |=60 " src="/equation_images/%20%5Cdisplaystyle%20%7C%205%20x%20%2B%205%20%7C%3D60%20" alt="LaTeX: \displaystyle | 5 x + 5 |=60 " data-equation-content=" \displaystyle | 5 x + 5 |=60 " /> </p> </p>
<p> <p>Splitting into two linear equations gives <img class="equation_image" title=" \displaystyle 5 x + 5=-60 " src="/equation_images/%20%5Cdisplaystyle%205%20x%20%2B%205%3D-60%20" alt="LaTeX: \displaystyle 5 x + 5=-60 " data-equation-content=" \displaystyle 5 x + 5=-60 " /> and <img class="equation_image" title=" \displaystyle 5 x + 5=60 " src="/equation_images/%20%5Cdisplaystyle%205%20x%20%2B%205%3D60%20" alt="LaTeX: \displaystyle 5 x + 5=60 " data-equation-content=" \displaystyle 5 x + 5=60 " /> . Solving gives the two solutions <img class="equation_image" title=" \displaystyle x=11 " src="/equation_images/%20%5Cdisplaystyle%20x%3D11%20" alt="LaTeX: \displaystyle x=11 " data-equation-content=" \displaystyle x=11 " /> and <img class="equation_image" title=" \displaystyle x=-13 " src="/equation_images/%20%5Cdisplaystyle%20x%3D-13%20" alt="LaTeX: \displaystyle x=-13 " data-equation-content=" \displaystyle x=-13 " /> </p> </p>