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Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

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15 questions

SA-9709-P2-AL-G012 marksL1 FoundationCalculatorEquations
Solve the equation ∣3x−2∣=7|3x-2|=7.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P2-AL-Q031 markL1 FoundationCalculatorGraphs
The graph of y=∣2x−4∣y=|2x-4| meets the xx-axis at
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-AL1-0012 marksL1 FoundationCalculatorGraphs
For the graph of y=∣2x+4∣y=|2x+4|, state the xx-coordinate of the vertex and the yy-intercept.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-AL1-Q011 markL1 FoundationCalculatorGraphs
The graph of y=∣ax+b∣y=|ax+b| (with a≠0a\neq0) is
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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-AL-G012 marksL1 FoundationCalculatorEquations
Solve the equation ∣2x−3∣=5|2x-3|=5.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P2-AL-0014 marksL2 StandardCalculatorEquations
Solve the equation ∣x+1∣=∣3x−5∣|x+1|=|3x-5|.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P2-AL-0044 marksL2 StandardCalculatorEquations
Solve the equation ∣2x+3∣=x+6|2x+3|=x+6.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P2-AL-0063 marksL2 StandardCalculatorGraphs
Find the xx-coordinates of the points where the graphs of y=∣2x−6∣y=|2x-6| and y=xy=x meet.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-AL-0014 marksL2 StandardCalculatorEquations
Solve the equation ∣x−2∣=∣2x+1∣|x-2|=|2x+1|.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-AL-0154 marksL2 StandardCalculatorChecking
Solve the equation ∣2x−4∣=x+1|2x-4|=x+1.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-AL1-0032 marksL2 StandardCalculatorGraphs
State the coordinates of the highest point on the graph of y=3−∣x−1∣y=3-|x-1|.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P2-AL-0054 marksL3 ExamCalculatorEquations
Solve the equation ∣x−4∣=2x+1|x-4|=2x+1.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P2-AL-0084 marksL3 ExamCalculatorEquations
Solve the equation 2∣x∣=∣x+3∣2|x|=|x+3|.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-AL1-0041 markL3 ExamCalculatorChecking
How many solutions does ∣2x−1∣=x−3|2x-1|=x-3 have?
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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P3-AL1-0024 marksL4 ChallengingCalculatorEquations
Solve the equation ∣x−5∣=3∣x+1∣|x-5|=3|x+1|.

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Salam Academy Original Practice · Proposed mark scheme