Solving quadratic inequalities algebraically

12 questions

1. (x+8)(x-2) is the quadratic x^2+6x-16 in __________ form.
2. Match the quadratics to their factorised form.
3. If x^2-7x-30=0 factorises to (x-10)(x+3)=0, where are its roots?
4. Which of the below is the quadratic formula?
5. This is a sketch of y=x^2-10x+24. Use it to solve this inequality: x^2-10x+24<0.
6. Which of these is a rearrangement of x^2-10x-87=0 when completing the square?
7. The curve y=x^2+2x-15 has __________ at x=-5 and x=3.
8. Solve x^2+2x-15<0.
9. Solve x^2+2x-15>0.
10. Solve x^2-9<16.
11. Solve -x^2-2x+15>0.
12. The solution to 2x^2-5x+20<x^2+8x-10 is 3<x<___.

License: OGL