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[[PREP_2011|Prep Main Page]] > [[PREP_2011_Web_Conference_II|Web Conference 2]] > [[SampleProblems|Sample Problems]] > Problem 7

This is Library/Rochester/setAlgebra08LinearEqns/sw3_1_7.pg

 DOCUMENT();
 
 loadMacros(
 "PG.pl",
 "PGbasicmacros.pl",
 "PGchoicemacros.pl",
 "PGanswermacros.pl",
 "PGauxiliaryFunctions.pl"
 );
 
 TEXT(beginproblem());
 $showPartialCorrectAnswers = 1;
 
 $a = random(2,9,1);
 $b = random(2,4,1);
 $c = non_zero_random(-10,10,1);
 
 TEXT(EV2(<<EOT));
 Solve the equation \(\displaystyle \frac{$a}{x}+\frac{$b}{2x} = $c\) algebraically.
 $BR $BR \( x = \) \{ans_rule(20) \}
 $BR$BR
 Please also use your calculator to verify your answer. 
 EOT
 
 $ans = ($a + $b/2)/$c;
 ANS(num_cmp($ans));
 
 ENDDOCUMENT();

[[Category:PREP 2011]]