Skip to main content\(\newcommand{\identity}{\mathrm{id}}
\newcommand{\notdivide}{{\not{\mid}}}
\newcommand{\notsubset}{\not\subset}
\newcommand{\lcm}{\operatorname{lcm}}
\newcommand{\gf}{\operatorname{GF}}
\newcommand{\inn}{\operatorname{Inn}}
\newcommand{\aut}{\operatorname{Aut}}
\newcommand{\Hom}{\operatorname{Hom}}
\newcommand{\cis}{\operatorname{cis}}
\newcommand{\chr}{\operatorname{char}}
\newcommand{\Null}{\operatorname{Null}}
\newcommand{\tikzspacer}{
\draw (-8,0) circle (0.02);
\draw (8,0) circle (0.02);
}
\newcommand{\eqnspacer}{\hspace{25pt}}
\usepackage{cancel}
\usepackage{multirow}
\usepackage{hhline}
\newcommand{\lt}{<}
\newcommand{\gt}{>}
\newcommand{\amp}{&}
\definecolor{fillinmathshade}{gray}{0.9}
\newcommand{\fillinmath}[1]{\mathchoice{\colorbox{fillinmathshade}{$\displaystyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\textstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptscriptstyle\phantom{\,#1\,}$}}}
\)
Worksheet Worksheet
Instructions: Solve the equations for the variable expression using a complete presentation.
1.
Solve \(6x^2 + 23 = 41\) for the expression \(x^2\text{.}\)
2.
Solve \(2y^3 + 14 = -20\) for the expression \(y^3\text{.}\)
3.
Solve \(5(t - 5) - 7 = 7\) for the expression \((t-5)\text{.}\)
4.
Solve \(6(r + 8) - 18 = 53\) for the expression \((r+8)\text{.}\)
5.
Solve \(3(b^2 + 4) - 25 = -38\) for the expression \((b^2 + 4)\text{.}\)
6.
Solve \(2x^2 + 4y^2 + 3z^2 + 5 = 11\) for the expression \(x^2\text{.}\)
7.
Solve \(2x^2 + 4y^2 + 3z^2 + 5 = 11\) for the expression \(y^2\text{.}\)
8.
Solve \(2x^2 + 4y^2 + 3z^2 + 5 = 11\) for the expression \(z^2\text{.}\)
9.
Solve \(4\ln(x) + 7 = 22\) for the expression \(\ln(x)\text{.}\)
10.
Solve \(3 \sin(2x) + 8 = 14\) for the expression \(\sin(2x)\text{.}\)