Skip to main content Contents Index
Prev Up Next \(\newcommand{\identity}{\mathrm{id}}
\newcommand{\notdivide}{{\not{\mid}}}
\newcommand{\notsubset}{\not\subset}
\newcommand{\lcm}{\operatorname{lcm}}
\newcommand{\gf}{\operatorname{GF}}
\newcommand{\inn}{\operatorname{Inn}}
\newcommand{\aut}{\operatorname{Aut}}
\newcommand{\Hom}{\operatorname{Hom}}
\newcommand{\cis}{\operatorname{cis}}
\newcommand{\chr}{\operatorname{char}}
\newcommand{\Null}{\operatorname{Null}}
\newcommand{\tikzspacer}{
\draw (-8,0) circle (0.02);
\draw (8,0) circle (0.02);
}
\newcommand{\eqnspacer}{\hspace{25pt}}
\usepackage{cancel}
\usepackage{multirow}
\usepackage{hhline}
\newcommand{\lt}{<}
\newcommand{\gt}{>}
\newcommand{\amp}{&}
\definecolor{fillinmathshade}{gray}{0.9}
\newcommand{\fillinmath}[1]{\mathchoice{\colorbox{fillinmathshade}{$\displaystyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\textstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptscriptstyle\phantom{\,#1\,}$}}}
\)
Print
Worksheet Worksheet 4
1.
Simplify the expression \(2 (4a^2 + 5ab - 3b^2) - (3a^2 - ab + 7b^2)\text{.}\)
You were never told how to handle three different types of terms. But if you understand what you were doing before, you should be able to do this without extra guidance.
2.
Simplify the expression \(3 (x^2 - 4x + 2) - 2 (x^2 - 5)\text{.}\)
3.
Two students perform the calculation \(5x^2 - x^2\text{.}\) One student claims that the answer is \(4x^2\) while the other claims the answer is 5. Determine which student did the calculation correctly and explain your reasoning using complete sentences. Then explain the error that the other student made.