College Algebra quiz

If you're a student at a school or college studying mathematics then this is the ideal quiz for you. If you wish to achieve a top grade for GCSE maths or anything higher, an A level or a degree then a thorough understanding of algebra is essential. It is one of the most important topic areas in mathematics.

Algebra is a very symbolic and analytical tool in mathematics. If you can solves equations, transpose formulae and understand definitions then you should be well on your way to success. This quiz is designed for academics. Your score should give some sort of indication of the level of maths qualification you could be aiming for.

Created by: John Carpenter
  1. Solve the equation 2y + 1 = y + 3
  2. Solve the equation 10 - y = 20 + y
  3. Factorise 2ab + 4a
  4. Make a the subject of the formula v = u + at
  5. Given that f(x) = 2x + 3 what is the inverse function f -1 (x) ?
  6. Given that f(x) = 3x + 2 what is f(f(x)) ?
  7. Given that f(x) = x + 1 and g(x) = x + 2 what is f(g(x)) ?
  8. Given that f(x) = (x - 2) / (x - 3) what is the inverse function f -1(x)?
  9. If 16 to the power of n equals 0.25 what is n?
  10. What is 256 to the power of 0.75 ?
  11. Express as a single logarithm log a + log b + log c
  12. Express as a single logarithm log 28 - log 4
  13. Solve the equation for n log n + log 3 = log (8 - n)
  14. Solve the equation ln (10n - 5 + e) = 1
  15. If the geometric mean of n and 9 is 12, what is the value of n?
  16. If y varies directly as the square root of x, and x = 4 when y = 50, what is the value of y when x = 100 ?
  17. Simplify e ln(e) + ln(2e) - e - 1
  18. Given that f(x) = ln x what is f(f(x))?
  19. Solve the equation y + log(8 - y) - log y = y
  20. Solve the hyperbolic equation cosh y + sinh y = 2

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