1.
The first term of an A.P. is equal to one-half the common difference, d.
The 8th term of the A.P is
2.
One of the roots of the equation:
x² + 9 = 0
3.
If a and b are two positive numbers such that a > 2b,
then the following are true except
4.
One of the roots of the equation:
6y² = 5 - 7y is
5.
The first term of an AP is -1 and the common difference is 0.5.
The 6th term is
6.
Solve for y:
25y + 3(5y) = 4
7.
Solve the equation:
5x² = 3x
8.
Factorize the expression:
x(p-q) + y(q-p)
9.
Solve the equations
4m - 3 = 3m + n = 2n + 5m - 12
10.
The real numbers m which satisfy the inequality
(3/5)m + 3 > (2/3 )m - 4 are
11.
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
12.
If y is a positive number, for what values of y is
4 + 3y < 10 ?
13.
Z is partly constant and partly varies inversely as the square of D.
When D = 1, Z = 11 and when D = 2, Z = 5.
Find the value of Z when D = 4
14.
Solve the equation:
6z² - 7z - 5 = 0
15.
The value of the expression
(9/4) x³ - (9/2) x² - (8/27) x-3 when x = - 2/3 is
16.
Factorize :
Pqx2+ 12y - 4qx - 3pxy
17.
The length of a rectangular plot of land exceeds the width by 7m.
If the area of the plot is 198m² ,
the length is
18.
A G.P has 6 and 24 as its 2nd and 4th terms respectively.
The sum of the first four terms is
19.
Given that a+b = 3/2
and a-b = 5/2,
the value of 2b + a is
20.
What is the common factor to the expressions
y²-y,
2y²+y-1 and
y²-1 ?
21.
The 1st and 4th terms of a G.P are -3 and 24 respectively.
The sum of the first four terms is
22.
Factorize:
9 - (a²-3a-1)²
23.
The roots of the equation
2y² - 3y - 2 = 0 are
24.
If 4/3, m, 1, n form a G.P,
the product of m and n is
25.
Solve the inequality:
3x + 3 > 9
