Solving equations with algebraic fractions

12 questions

1. The solution to the equation {2x\over 5}=4 is when x=___.
2. Solve {12\over 5x} = 8 .
3. Factorise x^2 + 3x -4.
4. Find all the solutions to the equation x^2 + 5x +6 = 2.
5. Which of these is equivalent to {x+3\over 2}\times {4\over x+4}?
6. Simplify {x+1\over 3x}+{x+2\over 6x}.
7. What would be the most efficient first step to solve {x+2\over 4x}+{3\over 6x}=4?
8. Which of these show all the solutions to the equation {x+2\over 4x}+{3\over 6x}=4?
9. Which of these is a correct step when solving {4\over x-2}-{6\over x-4}=-2?
10. Find all the solutions to {4\over x-2}-{6\over x-4}=-2.
11. Which of these is a correct step when solving {x+3\over 2x-3}={5\over x-1}?
12. Find all the solutions to {x+3\over 2x-3}={5\over x-1}.

License: OGL