algebra1.tex

    \documentclass{article}
    \usepackage{amsfonts}
    \usepackage{amsmath,multicol,eso-pic}
    \begin{document}
    \title{Algebra 101 worksheet 1}
    
    \date{\vspace{-5ex}}  
    
    \maketitle

        \section{Linear equations}
        Solve the following equations for the specified variable.
        \begin{multicols}{1}
        \begin{enumerate}
        \item Solve for $c$ : $$L - 7 c = W + 20 c$$
\item Solve for $L$ : $$K L + h = 19 - 6 L$$
\item Solve for $w$ : $$A + 25 w = k + 25 w$$
\item Solve for $y$ : $$W + k y = n y + q$$
\item Solve for $t$ : $$P t + z = X + t$$
\item Solve for $M$ : $$M Q + n = M N + k$$
\item Solve for $h$ : $$G + 23 h = 23 h + 23$$
\item Solve for $u$ : $$2 u + x = q u + 19$$
\item Solve for $D$ : $$D g + V = D Q + y$$
\item Solve for $r$ : $$16 r + 13 = q - 9 r$$
\item Solve for $Y$ : $$Y e + a = 6 Y + 6$$
\item Solve for $X$ : $$- 10 X - 11 = 2 X + 14$$
\item Solve for $k$ : $$k q - 20 = G + 11 k$$
\item Solve for $a$ : $$Q + R a = R - 18 a$$
\item Solve for $z$ : $$M - 25 z = X z - 1$$
\item Solve for $V$ : $$- 8 V + f = 2 V + 15$$
\item Solve for $N$ : $$N S - 13 = N T + 12$$
\item Solve for $m$ : $$V + m q = 18 m + n$$
\item Solve for $D$ : $$D h - 3 = 6 - 21 D$$
\item Solve for $k$ : $$b k + 22 = - 23 k + n$$
        \end{enumerate}
        \end{multicols}
        

        \section{Quadratic equations}
        Solve the following quadratic equations.
        \begin{multicols}{1}
        \begin{enumerate}
        \item $$x^{2} + 43 x + 460 = 0$$
\item $$- 15 x^{2} - 4 x = - 8 x$$
\item $$- 13 x^{2} - 11 x = - 8 x^{2} - 2 x$$
\item $$8 x^{2} - 25 x - 17 = - 17 x^{2} - 26$$
\item $$- 18 x^{2} - 19 = 0$$
\item $$x^{2} = 15 x^{2} - 26$$
\item $$6 x^{2} + 2 = 0$$
\item $$7 x^{2} - 6 x + 20 = 17 - 15 x$$
\item $$- 6 x^{2} - 5 = 0$$
\item $$17 x^{2} + 20 x + 13 = 17 x^{2} - 9 x + 6$$
\item $$4 x^{2} - 24 x + 17 = 22$$
\item $$x^{2} - 15 x + 50 = 0$$
\item $$x^{2} - 22 x + 40 = 0$$
\item $$x^{2} - 13 x - 90 = 0$$
\item $$x^{2} + 6 x - 520 = 0$$
\item $$- 25 x^{2} = 11 x$$
\item $$x^{2} + 11 x + 18 = 0$$
\item $$x^{2} - x - 56 = 0$$
\item $$- 17 x^{2} = 9 x + 6$$
\item $$x^{2} - 7 x + 10 = 0$$
        \end{enumerate}
        \end{multicols}
        

        \section{Compute the derivative}
        ['x', 'y', 'z']
        \begin{multicols}{1}
        \begin{enumerate}
        \item $$\frac{d}{d x} \frac{\sin{\left(x \right)} + \cos{\left(x \right)}}{\sin{\left(x \right)}}$$
\item $$\frac{d}{d x} \frac{\sqrt{x} - 14 x + 15}{\sqrt{x}}$$
\item $$\frac{d}{d x} \frac{e^{x} + \cos{\left(x \right)}}{\tan{\left(x \right)}}$$
\item $$\frac{d}{d x} \frac{15 x^{2} + 4 x + \tan{\left(x \right)}}{x}$$
\item $$\frac{d}{d x} \frac{x + \cos{\left(x \right)}}{3 x^{3} - 15 x^{2} - 24}$$
\item $$\frac{d}{d x} \frac{\sqrt{x} + \tan{\left(x \right)}}{\cos{\left(x \right)}}$$
\item $$\frac{d}{d x} \frac{20 x + \cos{\left(x \right)} + 11}{x}$$
\item $$\frac{d}{d x} \frac{\sin{\left(x \right)} + \cos{\left(x \right)}}{\tan{\left(x \right)}}$$
\item $$\frac{d}{d x} \frac{\sqrt{x} - 24 x}{x}$$
\item $$\frac{d}{d x} \frac{- 18 x^{3} - 24}{- 18 x^{3} - 11 x^{2}}$$
        \end{enumerate}
        \end{multicols}
        

    \end{document}