(a) \(\frac { x }{ 2 } \) = 10     (i) x = 4
(b) 20 = 6x – 4   (ii) x = 1
(c) 2x – 5 = 3 – x  (iii) x = 20
(d) 7x – 4 – 8x = 20  (iv) x = \(\frac { 8 }{ 3 } \)
(e) \(\frac { 4 }{ 11 } \)- x = \(\frac { -7 }{ 11 } \)   (v) x = –24

Sum of a number and its half is 30 then the number is______.

The exterior angle of a triangle is 120° and one of its interior opposite angle 58°, then the other opposite interior angle is________.

What sum of money will earn Rs.500 as simple interest in 1 year at 5% per annum?

The product of LCM and HCF of two numbers is 24. If one of the number is 6, then the other number is ________.

The sum of three consecutive odd numbers is 75. Which is the largest among them?

The length of a rectangle is \(\frac { 1 }{ 3 } \) of its breadth. If its perimeter is 64m, then find the length and breadth of the rectangle.

A number consists of two digits whose sum is 9. If 27 is subtracted from the original number, its digits are interchanged. Find the original number.

Plot the following points in a graph sheet.
A(5,2), B( − 7, − 3), C( − 2,4), D( − 1, − 1), E(0, − 5), F(2,0), G(7, − 4), H( − 4,0), I(2,3), J(8, − 4), K(0,7).

If the points P(5, 3) Q(−3, 3) R(−3, −4) and S form a rectangle, then find the coordinate of S.

Solve the equation: x − 7 = 6

Solve \(\frac { 4y }{ 3 } -7=\frac { 2 }{ 5 } y\)

Relation between Quantity and Cost
The following table gives the quantity of milk and its cost.

Plot the graph.

Relation between Principal and Simple Interest:
A bank gives 10% simple interest on deposits made by Senior citizens. Illustrate by a graph the relation between the deposit and the interest gained. Use the graph to compute
(i) The annual interest obtainable for investment of Rs.450;
(ii) The amount a Senior citizen has to invest to get an annual simple interest of Rs.80.

Relation between Time and Distance:
A train runs constantly at a speed of 80km/hr. Draw a time – distance graph for this situation. Also find the
(i) time – taken to cover 240 km.
(ii) distance covered in 5 ½ hours.

The length of a rectangular field exceeds its breadth by 9 metres. If the perimeter of the field is 154m, find the length and breadth of the field.

mother is five times as old as her daughter. After 2 years, the mother will be four times as old as her daughter. What are their present ages?