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my ( $stuLeft, $stuComp, $stuRight ) = @{$student};
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my ( $corLeft, $corComp, $corRight ) = @{$correct};
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my $stuExpr = $stuLeft - $stuRight;
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my $stuExpr = Formula("$stuLeft - $stuRight");
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my $coeff = $stuExpr->D('x');
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if (!($coeff -> isConstant) or $coeff == Formula(0)){ return 0; }
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$stuExpr = $stuExpr/$coeff;
@@ -85,19 +85,19 @@ TEXT(beginproblem());
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BEGIN_PGML
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[%Not using percentages to avoid confusion%]
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Your grade in a class is determined by the average of three test scores. You scored [`[$a]`] and [`[$b]`] on the first two tests. To earn at least [`[$m]`] for this course, how much do you have to score on the third test?
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Your grade in a class is determined by the average of three test scores. You scored [`[$a]`] and [`[$b]`] points on the first two tests. To get an average score of at least [`[$m]`] points on the three tests, how many points would you need on the third test?
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Let [`x`] be the score you will earn on the third test. Write an inequality to represent this situation.
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Let [`x`] be your score on the third test. Write an inequality to express the requirement that your average score must be at least [`[$m]`].
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Your inequality has three parts, a left side, a right side, and a comparison operator in the middle: [`<`], [`>`], [`\leq`], [`\geq`], [`=`], or [`\neq`]. Enter these as *<*, *>*, *<=*, *>=*, *=*, and *!=*.
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Your inequality has three parts, a left side, a right side, and a comparison operator in the middle: [`<`], [`>`], [`\leq`], [`\geq`], [`=`], or [`\neq`]. To type the comparison operator, enter one of these symbols: *<*, *>*, *<=*, *>=*, *=*, or *!=*.
Solve this inequality. What is the minimum that you have to earn on the third test in order to earn a [`[$m]`] for the course?
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Solve this inequality. What is the minimum score that you must earn on the third test to earn a [`[$m]`] average for the three tests?
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[___________]{$ans2}
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You cannot score over [`100`] on the third test. Use interval notation to represent the range of scores you can earn on the third test in order to earn at least [`[$m]`] for this course.
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You cannot score over [`100`] on the third test. Use interval notation to represent the range of scores you could earn on the third test to average at least [`[$m]`] in this course.
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