TEST RUN to create exam on fractions
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", "m = -3, c = 6
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", "m = 2, c = 4
"], "type": "1_n_2", "showCorrectAnswer": true}], "metadata": {"licence": "None specified", "description": ""}, "statement": "1. What are the gradient (m) and intercept (c) of 3y -6 =12? (Graph shown below)
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\n$\\frac{P(x)}{(ax+b)(cx+d)}=\\frac{A}{ax+b}+\\frac{B}{cx+d}$
$\\frac{P(x)}{(ax+b)^2}=\\frac{A}{ax+b}+\\frac{B}{(ax+b)^2}$
$\\frac{P(x)}{(ax^2+bx+c)(dx+e)}=\\frac{Ax+B}{ax^2+bx+c}+\\frac{C}{dx+e}$
Find the partial fraction of:
\n$\\frac{5x - 1}{(x + 1)(x - 2)}$
\n$ = [[0]]/$(x + 1)$ + [[1]]/$(x - 2)$
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", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "Add the following fractions using the formula $\\dfrac{a}{b}+\\dfrac{c}{b}=\\frac{\\boxed{a}+\\boxed{c}}{\\boxed{b}}=\\frac{\\boxed{a+c}}{\\boxed{b}}$.
\nAn example of a correct calculation would be $\\dfrac{1}{2}+\\dfrac{3}{2}=\\frac{\\boxed{1}+\\boxed{3}}{\\boxed{2}}=\\frac{\\boxed{4}}{\\boxed{2}}$.
\nNote the final fraction should be left as it is and should not be entered in lowest form (if this is different).
", "advice": "The correct calculation is $\\dfrac{\\var{a}}{\\var{d}}+\\dfrac{\\var{b}}{\\var{d}}=\\frac{\\boxed{\\var{a}}+\\boxed{\\var{b}}}{\\boxed{\\var{d}}}=\\frac{\\boxed{\\var{a+b}}}{\\boxed{\\var{d}}}$.
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