Simplifying algebraic fractions

12 questions

1. Which fractions simplify to 4\over 5?
2. Which of these is the highest common factor of 12a^2b and 6a^3b^2?
3. Which of these is equivalent to a^6 \div a^3?
4. Fully factorise 12x^2 + 18x.
5. Factorise x^2 + 5x -6
6. Factorise 6x^2-5x -4
7. What is the simplest form of the fraction 18x^2y^6\over 12x^5y^2?
8. Simplify fully 4a+8\over 6a+2.
9. Write the fraction 8a + 24\over 4a + 12 in its simplest form.
10. Simplify 3x^2 -6x\over x^2 - 7x + 10.
11. Simplify x^2 -16\over x^2 - x - 12.
12. Simplify 3x^2 +17x + 10\over 6x^2 + 25x + 14.

License: OGL