TeX - LaTeX Asked by WyoWindStorm on February 17, 2021
The MWE below specifies 2 column format – one problem per column. As presently coded, the step-by-step solution box is a bit narrow, causing hyphenation that negatively impacts readability (IMHO) and unnecessarily extends the length / depth of the solution box.
Since I didn’t create this code, I’m confused about the parameters, specifically re: how to slightly increase the size of the solution box while still preserving the 2 column format, i.e. 1 problem at the top of each column.
You assistance is much appreciated.
documentclass[12pt]{exam}
printanswers
% un-comment to print solutions.
renewcommand{solutiontitle}{}
usepackage{multirow, tabularx}
newcolumntype{C}{>{centeringarraybackslash}X}
usepackage[table]{xcolor}
usepackage{amsmath}
usepackage{cancel}
usepackage{framed}
usepackage{multicol}
usepackage{tasks}
usepackage[a4paper,margin=0.5in,include head]{geometry}
everymath{displaystyle}
setlengthparindent{1em}
pagestyle{head}
header{Algebra II Review Ch 3.2: Operations Rational Expressions and Equations: K E Y}
{}
{01/13-14/21}
newcommand{pagetop}{%
noindent
fbox{fbox{parbox{dimexprtextwidth-4fboxsep-4fboxrule}{
textbf {Obj. 3.2.a: I can simplify factored rational expressions and find their restrictions.
bigskip
bigskipSimplify expression and state the excluded values (+1 pt numerator, +1 pt denominator, +1 pt restrictions.) each equation. Show all work/steps on this page.}
}}}
bigskip
vspace{0.5mm}
}
settasks{after-item-skip=1em,
after-skip=2cm,
label-width=2em,
item-indent=3em,
label=(arabic*),
column-sep=2em
}
% ------------ DOCUMENT STARTS HERE---------- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
begin{document}
%definition for bigskip = 1 line to replace all bigskip
defbigskip{vskipbigskipamount}
%macro diamondscheme. The lines are drawn too, you need not tikz. The size is controlled by the diaw parameter. It is set to 1.5cm in this example.
% definition
newdimendiaw diaw=1.5cm
defdiamondscheme#1#2#3#4{%
vbox todiaw{
kern-1ex
hbox todiaw{hss$#1$hss}
vss
hbox todiaw{hbox to0pt{hss$#2$hss}hss
raise.7exhbox{diacross}hss
hbox to0pt{hss$#3$hss}}
vss
hbox todiaw{hss$#4$hss}
kern-1ex
}
}
newcounttmpnum
tmpnum=diaw
dividetmpnum by65781 % tmpnum is now equal to diaw in bp units
dividetmpnum by2
deftmp{thetmpnumspace}
edefdiacross{pdfliteral
{q 0.4 w -tmp tmp m tmp -tmp l S -tmp -tmp m tmp tmp l S Q}}
begin{tasks}
[style=enumerate](2)
% Prob #1
task $dfrac{10k^2+32k+24}{15k+18}$
begin{solutionorbox}[5cm]
Factor 2 out of the numerator.bigskip
$dfrac{2(5k^2+16k+12)} {15k+18}$bigskip
Now factor the numerator using diamond method.
bigskip
%call diamondscheme macro
hspace{2cm}
diamondscheme{60}{10}{6}{16}
bigskip
The 5 in front of $5k^2$ means this is a non-monic quadratic trinomial. So use the box method to complete the factorization.
newcommandmcc[1]{multicolumn{1}{c}{#1}}
hspace{1cm}
renewcommandarraystretch{2}
begin{tabular}{ c | c | c | }
mcc{} & mcc{textcolor{red}{$5k$}} & mcc{textcolor{red}{$+6$}}
cline{2-3}
textcolor{red}{$k$} & $5k^2$ & $6$
cline{2-3}
textcolor{red}{$+2$} & $10k$ & $12$
cline{2-3}
end{tabular}
vspace{0.2cm}
Numerator factors to $color{red}dfrac{(5k+6)(k+2)}{color{black} 15k+18}$
Now factor the bottom:
hspace{2cm}$3(5k+6)$
vspace{0.25cm}
Cancel common factors (this creates a HOLE in the graph):
hspace{2cm}
$dfrac{cancel{(5k+6)}(k+2)}{3cancel{(5k+6)}}$
vspace{0.25cm}
Simplified form: $dfrac{(k+2)}{3}$
textcolor{blue}{textbf {Reminder:}}
textbf{Zeros occur on top} (in the numerator).
textbf{VA's (vertical asymptotes) are restrictions in the denominator}...to prevent division by $0$.
textcolor{red}
{Zeros: $k=-2$}
textcolor{red}
{Holes: $k=-6/5$}
textcolor{red}
{VA: $none$}
end{solutionorbox}
vspace{0.25cm}
% Prob #1
task $dfrac{5k^2+10k+24}{6k+12}$
begin{solutionorbox}[5cm]
step-by-step solution goes here
end{solutionorbox}
end{tasks}
end{document}
I don't know if I have well understood the problem!
May be you can modify the tasks environment options like this:
settasks{after-item-skip=1em,
after-skip=2cm,
label-width=1.5em, % <---------
item-indent=2em, % <----------
label=(arabic*),
column-sep=1em % <----------
}
The figure is from the tasks package documentation
The complete code
documentclass[12pt]{exam}
printanswers
% un-comment to print solutions.
renewcommand{solutiontitle}{}
usepackage{multirow, tabularx}
newcolumntype{C}{>{centeringarraybackslash}X}
usepackage[table]{xcolor}
usepackage{amsmath}
usepackage{cancel}
usepackage{framed}
usepackage{multicol}
usepackage{tasks}
usepackage[a4paper,margin=0.5in,include head]{geometry}
everymath{displaystyle}
setlengthparindent{1em}
pagestyle{head}
header{Algebra II Review Ch 3.2: Operations Rational Expressions and Equations: K E Y}
{}
{01/13-14/21}
newcommand{pagetop}{%
noindent
fbox{fbox{parbox{dimexprtextwidth-4fboxsep-4fboxrule}{
textbf {Obj. 3.2.a: I can simplify factored rational expressions and find their restrictions.
bigskip
bigskipSimplify expression and state the excluded values (+1 pt numerator, +1 pt denominator, +1 pt restrictions.) each equation. Show all work/steps on this page.}
}}}
bigskip
vspace{0.5mm}
}
settasks{after-item-skip=1em,
after-skip=2cm,
label-width=1.5em, %<---------
item-indent=2em, % <---------
label=(arabic*),
column-sep=1em % <----------
}
% ------------ DOCUMENT STARTS HERE---------- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
begin{document}
%definition for bigskip = 1 line to replace all bigskip
defbigskip{vskipbigskipamount}
%macro diamondscheme. The lines are drawn too, you need not tikz. The size is controlled by the diaw parameter. It is set to 1.5cm in this example.
% definition
newdimendiaw diaw=1.5cm
defdiamondscheme#1#2#3#4{%
vbox todiaw{
kern-1ex
hbox todiaw{hss$#1$hss}
vss
hbox todiaw{hbox to0pt{hss$#2$hss}hss
raise.7exhbox{diacross}hss
hbox to0pt{hss$#3$hss}}
vss
hbox todiaw{hss$#4$hss}
kern-1ex
}
}
newcounttmpnum
tmpnum=diaw
dividetmpnum by65781 % tmpnum is now equal to diaw in bp units
dividetmpnum by2
deftmp{thetmpnumspace}
edefdiacross{pdfliteral
{q 0.4 w -tmp tmp m tmp -tmp l S -tmp -tmp m tmp tmp l S Q}}
begin{tasks}
[style=enumerate](2)
% Prob #1
task $dfrac{10k^2+32k+24}{15k+18}$
begin{solutionorbox}[5cm]
Factor 2 out of the numerator.bigskip
$dfrac{2(5k^2+16k+12)} {15k+18}$bigskip
Now factor the numerator using diamond method.
bigskip
%call diamondscheme macro
hspace{2cm}
diamondscheme{60}{10}{6}{16}
bigskip
The 5 in front of $5k^2$ means this is a non-monic quadratic trinomial. So use the box method to complete the factorization.
newcommandmcc[1]{multicolumn{1}{c}{#1}}
hspace{1cm}
renewcommandarraystretch{2}
begin{tabular}{ c | c | c | }
mcc{} & mcc{textcolor{red}{$5k$}} & mcc{textcolor{red}{$+6$}}
cline{2-3}
textcolor{red}{$k$} & $5k^2$ & $6$
cline{2-3}
textcolor{red}{$+2$} & $10k$ & $12$
cline{2-3}
end{tabular}
vspace{0.2cm}
Numerator factors to $color{red}dfrac{(5k+6)(k+2)}{color{black} 15k+18}$
Now factor the bottom:
hspace{2cm}$3(5k+6)$
vspace{0.25cm}
Cancel common factors (this creates a HOLE in the graph):
hspace{2cm}
$dfrac{cancel{(5k+6)}(k+2)}{3cancel{(5k+6)}}$
vspace{0.25cm}
Simplified form: $dfrac{(k+2)}{3}$
textcolor{blue}{textbf {Reminder:}}
textbf{Zeros occur on top} (in the numerator).
textbf{VA's (vertical asymptotes) are restrictions in the denominator}...to prevent division by $0$.
textcolor{red}
{Zeros: $k=-2$}
textcolor{red}
{Holes: $k=-6/5$}
textcolor{red}
{VA: $none$}
end{solutionorbox}
vspace{0.25cm}
% Prob #1
task $dfrac{5k^2+10k+24}{6k+12}$
begin{solutionorbox}[5cm]
step-by-step solution goes here
end{solutionorbox}
end{tasks}
end{document}
Correct answer by Hafid Boukhoulda on February 17, 2021
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