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RUN REVIEW · Mathematical Methods · Units 1 & 2 · Tech-active

icaijy

11 Sep 2026, 10:27 a.m.

17067 score

5 correct × 34 movement score = 170

67 × VCE evidence60.7 seconds · bandwidth-limited recordingDownload video
01 Which response best completes this VCE-style item? If \(f(x)=x+2\) and \(g(x)=x^2\), then \((g\circ f)(3)=\)
A 13 This does not satisfy the stated relationship.
B 11 This does not satisfy the stated relationship.
C 25 f(3)=5, then g(5)=25.
D 7 This does not satisfy the stated relationship.

Written for icaijy.com · U1–2 · Composition · answered at 7914 ms

02 A student is checking a worked solution. The graphs \(y=x^2\) and \(y=2x+3\) intersect at x-values
A \(x=-3,1\) This does not satisfy the stated relationship.
B \(x=1,3\) This does not satisfy the stated relationship.
C \(x=0,2\) This does not satisfy the stated relationship.
D \(x=-1,3\) Solve x²−2x−3=0.

Written for icaijy.com · U1–2 · Intersections · answered at 24223 ms

03 A student is checking a worked solution. A CAS returns a decimal root but the question requests an exact value. The best response is to
A use an exact solve command or algebraic form Exact form is required when requested.
B round to one decimal place This does not satisfy the stated relationship.
C change the equation This does not satisfy the stated relationship.
D omit the root This does not satisfy the stated relationship.

Written for icaijy.com · U1–2 · Technology · answered at 31296 ms

04 A student is checking a worked solution. If \(f(x)=x+2\) and \(g(x)=x^2\), then \((g\circ f)(3)=\)
A 13 This does not satisfy the stated relationship.
B 7 This does not satisfy the stated relationship.
C 25 f(3)=5, then g(5)=25.
D 11 This does not satisfy the stated relationship.

Written for icaijy.com · U1–2 · Composition · answered at 34667 ms

05 A student is checking a worked solution. A CAS solves \(x^3-4x=0\). The full solution set is
A \(\{-2,0,2\}\) Factor x(x−2)(x+2).
B \(\{0,4\}\) This does not satisfy the stated relationship.
C \(\{-2,2\}\) This does not satisfy the stated relationship.
D \(\{-4,0,4\}\) This does not satisfy the stated relationship.

Written for icaijy.com · U1–2 · CAS solving · answered at 42322 ms

06 Which response best completes this VCE-style item? A CAS returns a decimal root but the question requests an exact value. The best response is to
A use an exact solve command or algebraic form Exact form is required when requested.
B omit the root This does not satisfy the stated relationship.
C round to one decimal place This does not satisfy the stated relationship.
D change the equation This does not satisfy the stated relationship.

Written for icaijy.com · U1–2 · Technology · answered at 45171 ms

07 During a one-minute revision round: Solve \(2^x=10\), correct to two decimal places.
A 5.00 This does not satisfy the stated relationship.
B 2.30 This does not satisfy the stated relationship.
C 3.32 \(x=\log_2 10\approx3.32\).
D 10.00 This does not satisfy the stated relationship.

Written for icaijy.com · U1–2 · Exponentials · answered at 57162 ms

08 The graphs \(y=x^2\) and \(y=2x+3\) intersect at x-values
A \(x=0,2\) This does not satisfy the stated relationship.
B \(x=1,3\) This does not satisfy the stated relationship.
C \(x=-3,1\) This does not satisfy the stated relationship.
D \(x=-1,3\) Solve x²−2x−3=0.

Written for icaijy.com · U1–2 · Intersections · not answered before time expired

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