The real numbers m which satisfy the inequality
(3/5)m + 3 > (2/3 )m - 4 are

The 1st and 4th terms of a G.P are -3 and 24 respectively.
The sum of the first four terms is

What integral values of x satisfy the inequality
-2 ≤ x < 2 ?

Find the values p and q in the arithmetic progression
-12, p, q, 18, ...

Given that
a² + b² + c² = 50 and
a = 5, √b = 2,
find c

The values of p and q in the G.P
10, p, q, -5/4 are respectively

Given that the quadratic expression
3m² - 7m + K is a perfect square,
the value of K is

What is the least possible value of
9 / (1 + 2y²) 
if 0 ≤ y ≤ 2 ?

What must be added to the expression
y² - 18y to make it a perfect square?

The sum of the ages of a father and his daughter is 85 years.
Five years ago, the father was exactly four times as old as his daughter.
The present age of the father is

The sum of the first five terms of the G.P
3, -6, 12, is

If 4x - 2 = 3x -5,
the value of 7x is

A motorist drove a distance of 90km at constant speed for the first 40km and then drove 20km/hr faster for the rest of the journey.
If the whole journey took him one hour, his average speed for the first 40km was

The nth term of the A.P
10, 3, -4, ... is

If y is negative, for what range of values of y is
y + 1/3  > 1/y + 3 ?

P is directly proportional to M and inversely proportional to N.
If P = 9 when M = 24 and N = 8,
find the value of P when M = 5 and N = 6

Find the value of x for which
3^2x + 6(3^x) = 27

What is the common factor to the binomial expressions
4x²-9y²,
8x³+27y³ and
(4x+6y)² ?

Factorize:
9 - (a²-3a-1)²

The sum of the digits in a 2-digit number is 13.
With the digits interchanged, the new number exceeds the original number by 27. The original number is

Evaluate: 
(xy² - yz²) (x²z - xyz)
when x = 2, y = -2 and z = -½

Solve the inequality:
3x + 3 > 9

Factorize:
32a³ - 8ab²

If 4/3, m, 1, n form  a G.P,
the product of m and n is

The 2nd and 5th terms of a G.P are 2/3 and 1/12 respectively.
The 1st term is