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Christian Lawson-Perfect 2 years, 6 months ago
Saved a checkpoint:
I'm not sure why part b had two equations in it. I've split it into two parts.
A couple of uses of "question" instead of "equation" in the advice.
The quadratic formula was missing $x=$ a few times in the advice!
Otherwise, this is good.
Chris Graham 2 years, 6 months ago
I have changed the wording of the statement slightly and also removed "require trailing zeros" in part (a), which was too harsh.
I've removed (i) from part (a) as there is only one sub-part.
Otherwise looks good. However, if this is the first time we meet the quadratic formula (I'm guessing from the way the statement is worded) then I would like to have it available to the student, perhaps as a step to part (a)?
Vicky Hall 2 years, 6 months ago
I would give the quadractic formula in the statement and have $x=$ in front of it. I would amend the statement so that it says it can also be useful to use the formula if equations are difficult to factorise (perhaps if coefficients are large), as the equations in part a) and part b)i) could both be solved by factorising instead but using the formula is (probably) quicker.
The expected answers in part a) are the numbers that would appear in the factorised equation and not the roots so you need to negate the answers and then swap their gaps around.
Christian Lawson-Perfect 2 years, 7 months ago
The non-zero right-hand sides in part a are gotchas: I'd like to have a nice part first, where the right-hand side is zero.
Could you make the coefficients in part b work so that you get integers out? You want to see if the student can work out how to deal with getting an algebraic answer, and rounding errors would be a distraction.
In part b it looks like the roots are the wrong way round - the lowest root is second.
You could split this into two questions: "use the quadratic formula to solve an equation with non-zero RHS", and "use the quadratic formula to solve an equation in terms of another variable".
Lauren Richards 2 years, 7 months ago
- Your i) and ii) need to be not bold and in italics in the parts.
- The quadratic formula equation in the start of the advice is slightly incorrect - it should be 2a on the denominator, not 2.
- Something is not quite right for a)ii) in the advice as it is written as it would be when writing it and also midway through the advice for part b).
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This question is used in the following exams:
- Quadratic expressions and equations by Christian Lawson-Perfect in Transition to university.
- Test1 by Emma Cliffe in Emma's workspace.
- Nick's copy of Quadratic expressions and equations by Nick Walker in Nick's workspace.
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- Initial maths test by J. Richard Snape in J. Richard's workspace.
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- Quadratics by Kevin Bohan in Kevin's workspace.
- QuadraticEquationAndExpression by AJAY OTTA in AJAY's workspace.
- Algebra by Alan Levine in Mathtest Questions.