Easy 4. Find c so that the line 3x + 4y + 2c = 0 passes through the point (2, -5).

Easy 6. In an isosceles triangle, the length of each leg is 3 cm. What is the length of the altitude to the hypotenuse of the triangle?

Easy 7. Solve for x in the equation |3x - 2| = 4.

Average 1. In how many ways can a 6-digit PIN be formed if the first digit cannot be zero and the last digit cannot be the same as the first digit?

Average 2. Write the expression

Average 3. Write an equation of the line that is parallel to 2x - 3y +5 = 0 and which passes through the point (-2, 5).

Average 4. Factor completely: (x + 2y)(x + 2y -1) - 6

Average 5. Divide  $\sqrt{6}-\sqrt{3\ }$  by  $\sqrt{6}+\sqrt{3}$   and express quotient in simplest form. 

Difficult 1. The fare for an aircon bus in Metro Manila is computed as follows: Php11 for the first 5 kilometers, then Php1.85 for each succeeding kilometer or a fraction thereof. Compute the bus fare for a distance of 10.5 kilometers.

Difficult 2. A number x is 15% more than y and a number z is 20% more than x. How many percent more than y is z?

Difficult 3. A car and a bus approach the same intersection from roads which are perpendicular. If the car averages 60 kph and the bus 80 kph. What is the distance between the car and the bus 12 minutes after they cross the intersection?

Difficult 4. A function f is defined on the set of positive integers as follows: f(1) = 1 and for all integers n ≥ 2, f(n) =f(n-1) -2. Find f(5).

Difficult 5. The sum of  $3^x$  and its reciprocal is a. What is the sum of  $9^x$  and its reciprocal in terms of a.