1. Simplify the following

(a) (b) (c)

(d) (e)

2. Find k so that the following are perfect square:

(a) (b) (c)

3. Determine which pair of the following sets of equations are perpendicular

(a) x - 2y - 1 = 0; x + 2y + 1 = 0; 2x - y + 4 = 0

(b) ; ;

4. Solve the following equations:

(a) (b) (c)

5. A ball is thrown vertically upward, with its height h m, after a time of t seconds, being given by the formula: . Find after what time the ball is first at a height of 12 m.

6. Simplify, writing the answers in index form:

(a) (b) (c)

(d) (e) (f)

7. A circle of radius 1 is inscribed inside a square as shown. O is the centre. Find x.

9. Simplify

10. Given that . Evaluate the following expressions:

(a) (b) (c)

11. Solve the following inequalities:

(a) (b) (c)

(d) (e) (f)

12. Solve

13. A function f(x) is even if f(-x) = f(x) and odd if f(-x) = -f(x). Determine the following functions are odd or even or neither:

(a) (b) (c)

15. (a) The factorial of a number x is symbolically written as x! which is equal to . For example 5! = 5 x 4 x 3 x 2 x 1 = 120. Now, using this fact to find the last digit of the number 49!

(b) Find the last digit of and

(c) Find the last two digits of

16. Prove that and a + b = 1 then