(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?

At present, Thenmozhi’s age is 5 years more than that of Murali’s age. Five years ago, the ratio of Thenmozhi’s age to Murali’s age was 3:2. Find their present ages.

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).

A line passing through (4, −2) and intersects the Y-axis at (0, 2). Find a point on the line in the second quadrant.

Draw the graph of the following equations
(i) x = −7 (ii) y = 6

Solve 2x + 5 = 9

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

Graph the equation y = x + 1.
Begin by choosing a couple of values for x and y. It will firstly help to see
(i) what happens to y when x is zero and
(ii) what happens to x when y is zero.
After this we can go on to find one or two more values.
Let us find at least two more ordered pairs. For easy graphing, let us avoid fractional answers. We shall make suitable guesses.

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

Plot the graph.

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 sum of two numbers is 36 and one number exceeds another by 8. Find the numbers.

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?

The denominator of a fraction is 3 more than its numerator. If 2 is added to the numerator and 9 is added to the denominator, the fraction becomes \(\frac { 5 }{ 6 } \). Find the original fraction.

From home, Rajan rides on his motorbike at 35 km/hr and reaches his office 5 minutes late. If he had ridden at 50 km/hr, he would have reached his office 4 minutes earlier. How far is his office from his home?