Question 1 (14): Tip 1: Use your discriminant formula (delta = b
2 - 4ac) and input the appropriate values.
Tip 2: Where discriminant is not less than 0, there will be either (a) 1 solution if discriminant is = 0 or (b) 2 solutions if discriminant is > 0. This should be okay for rational solutions.
This site will be very good to look at if you're not so sure about discriminants. Question #1 (16):Tip 3: Check the signs and what the question is asking. Try graphing a few simple examples. How can a + and - occur respectively if it's in a quadratic? What are the signs in the brackets if you factorised said quadratic?
Question #2 (3 k):Tip 4: Use quadratic formula and make x = 0 to solve. (If you're not too sure check the
Solving Quadratic Equations using the Quadratic Formula section on this link.)
Question #3 (1 a):Tip 5: Use the formula for all quadratics (y = ax
2 + bx + c). With two unknowns (x and y), you can fill them with your given coordinates (your two x-intercepts).
Tip 6: After using tip 5, complete the square to find the coordinates of the point (vertex).
Question #3 (2 a):Tip 7: Similar to tips 5 and 6, this question is kind of the reverse of Q#3 (1a). Try using various formulas like complete the square and y = ax
2 + bx + c (and its factorised forms) to help you in this question.
Question #4 (3 i):I don't like how I did this one, so I'll leave this one for others to tell you their method.