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Oak MathsTest · Maths

Solving equations involving functions

The starter and exit quiz of the lesson “Solving equations involving functions”, from the unit “Functions and proof” (Year 11 Maths) by Oak National Academy.

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Oak National Academy

12 questions

  1. An equation is used to show two expressions that are __________ each other.
  2. If {\text{f}}(x)=7x−4 evaluate {\text{f}}(8).
  3. Solve 7x-5=-26 x=___
  4. Solve 7x-5=31-3x x=___
  5. Solve x^2+3x-26=7x-5.
  6. Solve {4\over{3x+7}}={3\over{x-1}} x=___
  7. If {\text{f}}(8)=145 then {\text{f}}(x) is a function which __________ 8 to 145.
  8. If {\text{f}}(x)=5(x−11) solve {\text{f}}(x)=50 x=___.
  9. If {\text{f}}(x)=x^2−8x solve {\text{f}}(x)=-12.
  10. If {\text{f}}(x)=5(x−11) and {\text{g}}(x)=2x+5 solve {\text{f}}(x)={\text{g}}(x) x=___.
  11. If {\text{f}}(x)={7\over{3x}} solve {\text{f}}(x)=21.
  12. If {\text{f}}(x)={{5x+11}\over{2}} and {\text{g}}(x)=-{{1}\over{x}} solve {\text{f}}(x)={\text{g}}(x).

License: OGL

Solving equations involving functions · Examplary