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$\\simplify{{a1}x+{a2}={a1}*{a}+{a2}}$

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$\\simplify{{b1}x+{b2}={b1}*{b}+{b2}}$

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$\\simplify{{c1}x+{c2}={c1}*{c}+{c2}}$

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$\\simplify{{d1}x+{d2}={d1}*{d}+{d2}}$

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Answer for part c

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Answer for part d

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Answer for part a

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Answer for part b

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Part a)

\n

$\\simplify{{a1}x+{a2}={a1}*{a}+{a2}}$

\n

$\\simplify{{a1}x={a1}*{a}}$

\n

$\\simplify{x={a}}$

\n

Part b)

\n

$\\simplify{{b1}x+{b2}={b1}*{b}+{b2}}$

\n

$\\simplify{{b1}x={b1}*{b}}$

\n

$\\simplify{x={b}}$

\n

Part c)

\n

$\\simplify{{c1}x+{c2}={c1}*{c}+{c2}}$

\n

$\\simplify{{c1}x={c1}*{c}}$

\n

$\\simplify{x={c}}$

\n

Part d)

\n

$\\simplify{{d1}x+{d2}={d1}*{d}+{d2}}$

\n

$\\simplify{{d1}x={d1}*{d}}$

\n

$\\simplify{x={d}}$

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Solve

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Part a)

\n

$\\simplify{{a1}(x+{a2})={a1}*({a}+{a2})}$

\n

$\\simplify{{a1}x+{a1}*{a2}={a1}*{a}+{a1}*{a2}}$

\n

$\\simplify{{a1}x={a1}*{a}}$

\n

$\\simplify{x={a}}$

\n

Part b)

\n

$\\simplify{{b1}({b2}*x+{b3})={b1}({b2}*{b}+{b3})}$

\n

$\\simplify{{b1}{b2}*x+{b1}{b3}={b1}({b2}*{b}+{b3})}$

\n

$\\simplify{{b1}{b2}*x={b1}{b2}*{b}}$

\n

$\\simplify{x={b}}$

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Solve

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$\\simplify{{a1}(x+{a2})={a1}*({a}+{a2})}$

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$\\simplify{{b1}({b2}*x+{b3})={b1}({b2}*{b}+{b3})}$

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Solve

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$\\simplify{x/{a1}+{a2}={a3}}$

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$\\simplify{({b1}*x+{b3}*{b2}-{b1}*{b})/{b2}={b3}}$

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Part a)

\n

$\\simplify{x/{a1}+{a2}={a3}}$

\n

$\\simplify{x/{a1}={a3}-{a2}}$

\n

$\\simplify{x={a1}({a3}-{a2})}$

\n

Part b)

\n

$\\simplify{({b1}*x+{b3}*{b2}-{b1}*{b})/{b2}={b3}}$

\n

$\\simplify{{b1}*x+{b3}*{b2}-{b1}*{b}={b2}{b3}}$

\n

$\\simplify{{b1}*x={b1}*{b}}$

\n

$\\simplify{x={b}}$

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Solve

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$\\simplify{{a1}x+{a2}={a3}x+({a1}{a}+{a2}-{a3}{a})}$

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$\\simplify{{b1}x+{b2}={b3}x+({b1}{b}+{b2}-{b3}{b})}$

", "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "extendBaseMarkingAlgorithm": true, "type": "numberentry", "mustBeReduced": false, "marks": "3", "allowFractions": false, "unitTests": [], "customMarkingAlgorithm": "", "maxValue": "b", "correctAnswerFraction": false, "scripts": {}, "variableReplacements": [], "minValue": "b", "mustBeReducedPC": 0, "showFeedbackIcon": true}], "advice": "

Part a)

\n

$\\simplify{{a1}x+{a2}={a3}x+({a1}{a}+{a2}-{a3}{a})}$

\n

$\\simplify{{a1}x-{a3}x+{a2}=({a1}{a}+{a2}-{a3}{a})}$

\n

$\\simplify{{a1}x-{a3}x={a1}{a}-{a3}{a}}$

\n

$\\simplify{x={a}}$

\n

Part b)

\n

$\\simplify{{b1}x+{b2}={b3}x+({b1}{b}+{b2}-{b3}{b})}$

\n

$\\simplify{{b1}x-{b3}x+{b2}=({b1}{b}+{b2}-{b3}{b})}$

\n

$\\simplify{{b1}x-{b3}x={b1}{b}-{b3}{b}}$

\n

$\\simplify{x={b}}$

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Solve the following:

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$\\simplify{{a1}(x+{a2})-{a3}({a4}x+{a5})={a1}({a}+{a2})-{a3}({a4}{a}+{a5})}$

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$\\simplify{{a1}(x+{a2})-{a3}({a4}x+{a5})={a1}({a}+{a2})-{a3}({a4}{a}+{a5})}$

\n

$\\simplify{{a1}x+{a1}{a2}}$ $-$ $\\simplify{{a3}{a4}x-{a3}{a5}={a1}({a}+{a2})-{a3}({a4}{a}+{a5})}$

\n

$\\simplify{({a1}-{a3}{a4})x+{a1}{a2}-{a3}{a5}={a1}{a}+{a1}{a2}-{a3}{a4}{a}-{a3}{a5}}$

\n

$\\simplify{({a1}-{a3}{a4})x={a1}{a}-{a3}{a4}{a}}$

\n

$\\simplify{x={a}}$

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You have 5 minutes remaining.

"}}, "metadata": {"description": "

Yr 7 Simple Linear Equations, integer answers only

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