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: Simplify the expression.
1.
Simplify \((3x + 5y) + 2(6x - 4y)\text{.}\)
2.
Simplify \(2(4a - 3b) - 3(-3a -2b)\text{.}\)
3.
Simplify \(-3(-4m + 2n + 4) + 2 (3m - 3n + 7)\text{.}\)
4.
Simplify \(4(-3r + 7s - 3) - 3 (2r - 3s - 4)\text{.}\)
5.
Simplify \(-4(5x + 3y - 2z) - (-3x + 4y + 3z)\text{.}\)
6.
Simplify \(3(r^2 + 2s^2 - 4) + 5(-2r^2 + s^2 - 3)\text{.}\)
7.
Simplify \(-2(3x^2 + 7xy - 4y^2) + 3(2x^2 - 3xy + 5y^2)\text{.}\)
8.
Simplify \(4(2m - 5n + 1) - 2 (-3m + 2n - 3) + 5(m + 4n - 2)\text{.}\)
9.
Simplify \(4 (x^2 - 4x + 1) + 3(-2x^2 + 3x - 4) - (-2x^2 - 5)\text{.}\)
10.
Simplify \(2(r^3 - 3r^2s + s^3) - 3(2r^3 + 3rs^2 - 5s^3) + 2(r^2s - rs^2)\text{.}\)
