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25 marks of questions on manipulating brackets

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Nothing of interest in advice section

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$x(\\var{a}+y+\\var{b})$

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$x(A+y+B)$

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$(\\var{c}+x)y+(\\var{d}-y)x$

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$\\var{a}x+\\var{b}(\\var{a}+x)$

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$a(b+c)-b(a+c)+c(a+b)$

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Expand each of the following expressions:

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Exercises in multiplying out brackets

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$(\\var{a}+x)(\\var{b}+y)$

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$(\\simplify{x+{c}})(\\simplify{y+{d}})$

", "variableReplacements": [], "showCorrectAnswer": true, "checkingtype": "absdiff", "type": "jme", "answer": "x*y+{c}*y+{d}*x+{c}*{d}", "scripts": {}, "variableReplacementStrategy": "originalfirst", "checkingaccuracy": 0.001, "vsetrangepoints": 5, "vsetrange": [0, 1], "showpreview": true, "expectedvariablenames": [], "checkvariablenames": false, "marks": 1}, {"prompt": "

$(\\var{a}-y)(\\var{b}+y)$

", "variableReplacements": [], "showCorrectAnswer": true, "checkingtype": "absdiff", "type": "jme", "answer": "{a}*{b}-{b}*y+{a}*y-y^2", "scripts": {}, "variableReplacementStrategy": "originalfirst", "checkingaccuracy": 0.001, "vsetrangepoints": 5, "vsetrange": [0, 1], "showpreview": true, "expectedvariablenames": [], "checkvariablenames": false, "marks": 1}, {"prompt": "

$(1-z)(1+z)$

", "variableReplacements": [], "showCorrectAnswer": true, "checkingtype": "absdiff", "type": "jme", "answer": "1-z^2", "scripts": {}, "variableReplacementStrategy": "originalfirst", "checkingaccuracy": 0.001, "vsetrangepoints": 5, "vsetrange": [0, 1], "showpreview": true, "expectedvariablenames": [], "checkvariablenames": false, "marks": 1}, {"prompt": "

$(a+x)(b+x)-(a+b)(1+x)$

", "variableReplacements": [], "showCorrectAnswer": true, "checkingtype": "absdiff", "type": "jme", "answer": "a*b-a-b+x^2", "scripts": {}, "variableReplacementStrategy": "originalfirst", "checkingaccuracy": 0.001, "vsetrangepoints": 5, "vsetrange": [0, 1], "showpreview": true, "expectedvariablenames": [], "checkvariablenames": false, "marks": 1}], "metadata": {"description": "

Exercises in multiplying out brackets

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Nothing of interest in advice section

", "variable_groups": [], "ungrouped_variables": ["a", "b", "c", "d"], "type": "question", "statement": "

Expand each of the following expressions:

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Factorise each of the following expressions:

", "metadata": {"licence": "None specified", "notes": "", "description": "

Exercises in factorising expressions

"}, "advice": "

Nothing of interest in advice section

", "question_groups": [{"pickingStrategy": "all-ordered", "questions": [], "pickQuestions": 0, "name": ""}], "rulesets": {}, "ungrouped_variables": ["a", "b", "c"], "parts": [{"type": "jme", "answer": "x*(a+b-c)", "checkingtype": "absdiff", "musthave": {"message": "

Factorise the expression by finding a common factor.

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$ax+bx-cx$

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$\\simplify{{a}x+{a}y+{a}z}$

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$\\simplify{{a}x+2*{a}y+-2*{a}z}$

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$1+x+xy+y$

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$ax+bz+cx+by$

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Expand each of the following expressions

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Exercises in multiplying out brackets and then factorising the resulting expression.

", "licence": "None specified"}, "advice": "

Nothing of interest in advice section

", "rulesets": {}, "ungrouped_variables": ["a", "b"], "parts": [{"type": "jme", "answer": "2*a*x+b*x+a*y", "checkingtype": "absdiff", "variableReplacements": [], "showpreview": true, "checkingaccuracy": 0.001, "prompt": "

$x(a+b)+a(x+y)$

$-b(x-y)+y(a-b)$

$x(a+b)+a(x+y)-b(x-y)+y(a-b)$

$(y+x)y+(x-y)x$

$(1+x)(1-y)$

$(1-x)(1+y)$

$(1+x)(1-y)+(1-x)(1+y)$

$(x+a)(b-c)+(x+b)(c-a)+(x+c)(a-b)$

$(x+\\var{a})(b-c)+(x+b)(c-\\var{a})+(x+c)(\\var{a}-b)$

$(x+\\var{a})(\\var{b}-c)+(x+\\var{b})(c-\\var{a})+(x+c)(\\var{a}-\\var{b})$

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