Problem 1 :
Which of the following is equivalent to
(1/x) / (x + 3)
(a) 1/x(x + 3) (b) x/(x + 3) (c) (x +3)/3 (d) x(x +3)
Problem 2 :
The equation
(kx^{2} + 14x - 20)/(3x - 2) = (5x + 8) - [4/(3x - 2)]
is true for all values of x ≠ 2/3, where k is a constant, what is the value of k ?
(a) 8 (b) 9 (c) 11 (d) 15
Problem 3 :
The expression (3x^{2} + 4)/(x + 1) is equivalent which of the following ?
(a) (3x - 3) + 1/(x + 1) (b) 3x - 3 + 7/(x + 1)
(c) (3x + 3) + 1/(x + 1) (b) 3x + 3 + 7/(x + 1)
Problem 4 :
When 3x^{2} + x + 2 is divided by x - 1, the result can be expressed as
(ax + b) + [c/(x - 1)]
where a, b and c are constants. What is the value of
a + b + c ?
Problem 5 :
When 2x^{2} - 5x + 3 is divided by 2x + 1, the result can be written as
(x - 3) + [R/(2x+ 1)]
where R is a constant. What is the value of R ?
Problem 6 :
What is the one of the possible solution to the equation.
22/(x + 3) - 6/(x - 2) = 1
Problem 7 :
The expression
(x + 1)/(x + 2) - (x - 2)/(x - 1)
is equivalent to which of the following ?
(a) -5/(x + 2) (x - 1) (b) 1/(x + 2) (x - 1)
(c) 3/(x + 2) (x - 1) (b) (2x^{2}+3)/(x + 2) (x - 1)
Problem 8 :
When 5x + 3 is divided by x + m, where m is a constant, the result can be written as
5 + [ r/(x + m) ]
where r in terms of m ?
Problem 9 :
(x^{2} - x - a) / (x - 2) = (x + 1) - [8/(x - 2)]
In the equation above, what is the value of a ?
Problem 10 :
The equation
(24x^{2} + 25x - 47) / (ax - 2) = (-8x - 3) - 53/(ax - 2)
is true for all values of x ≠ 2/a, where a is constant. What is the value of a ?
(1) 1/x(x + 3) (2) k = 15 (3) (3x - 3) + [7 / (x + 1)] (4) a + b + c = 13 (5) R = 6 |
(6) x = 7 and x = 8 (7) 3/(x - 1)(x + 2) (8) r = 3 - 5m (9) a = 10 (10) a = -3 |
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM