\(\text{www.the}\beta\text{etafunction.com}\)
Home
Login
Questions: Algebra BusinessCalculus
Please login to create an exam or a quiz.
Solve \(\displaystyle | 4 x + 2 |=58\)
Splitting into two linear equations gives \(\displaystyle 4 x + 2=-58\) and \(\displaystyle 4 x + 2=58\). Solving gives the two solutions \(\displaystyle x=14\) and \(\displaystyle x=-15\)
\begin{question}Solve $| 4 x + 2 |=58$
\soln{9cm}{Splitting into two linear equations gives $4 x + 2=-58$ and $4 x + 2=58$. Solving gives the two solutions $x=14$ and $x=-15$}
\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 | 4 x + 2 |=58 " src="/equation_images/%20%5Cdisplaystyle%20%7C%204%20x%20%2B%202%20%7C%3D58%20" alt="LaTeX: \displaystyle | 4 x + 2 |=58 " data-equation-content=" \displaystyle | 4 x + 2 |=58 " /> </p> </p>
<p> <p>Splitting into two linear equations gives <img class="equation_image" title=" \displaystyle 4 x + 2=-58 " src="/equation_images/%20%5Cdisplaystyle%204%20x%20%2B%202%3D-58%20" alt="LaTeX: \displaystyle 4 x + 2=-58 " data-equation-content=" \displaystyle 4 x + 2=-58 " /> and <img class="equation_image" title=" \displaystyle 4 x + 2=58 " src="/equation_images/%20%5Cdisplaystyle%204%20x%20%2B%202%3D58%20" alt="LaTeX: \displaystyle 4 x + 2=58 " data-equation-content=" \displaystyle 4 x + 2=58 " /> . Solving gives the two solutions <img class="equation_image" title=" \displaystyle x=14 " src="/equation_images/%20%5Cdisplaystyle%20x%3D14%20" alt="LaTeX: \displaystyle x=14 " data-equation-content=" \displaystyle x=14 " /> and <img class="equation_image" title=" \displaystyle x=-15 " src="/equation_images/%20%5Cdisplaystyle%20x%3D-15%20" alt="LaTeX: \displaystyle x=-15 " data-equation-content=" \displaystyle x=-15 " /> </p> </p>