Solve the following equations  \(3x=\frac{27}{3}\)

The length of a rectangle is 1cm more than 2 times of its breadth. What is the length, if the breadth is x cm?

The radius of a circle is\(\frac{r}{2}\).Find its diameter in terms of r.

A train is moving at a speed of x km/h. Then, find the rule which gives the distance covered by train in 7 h.

Cadets are marching in a parade. There are 5 cadets in a row. What is the rule which gives the number of cadets, given the number of rows? (Use n for the number of rows.)

Give expressions for the following cases. 
-p multiplied by 5

Which out of the following are expressions with numbers only?
(7\(\times\)20) - (5\(\times\)10) - 45 + P

Leela is Radha's younger sister. Leela is 4 years younger than Radha. Can you write Leela's agein terms of Radius's age? Take Radha's age to be x years.

Radha is drawing a dot Rangoli (a beautiful pattern of lines joining dots with chalk powder). She has 9 dots in a row. How many dots will her Rangoli have for r rows? How many dots are there, if there are 8 rows? If there are 10 rows?

If 3a + 2b = 12 and 2 a + 4b = 10, then find the values of a and b.

Form an equation for the given statements.
(a) When 14 is added to a number, the result is 70.
(b) The difference of a number with 3 is 10.
(c) Five times a number is 25.
(d) A number divided by 3 gives 15.
(e) Three is added to two times of a number given 13.

Change the following statements using expressions into statements in ordinary language. (e.g. Given, Salim scores t runs in a cricket match, Nalin scores (r + 15) runs. In ordinary language-Nalin scores 15 runs more than Salim).
(a) A notebook costs Rs p. A book costs Rs 3p.
(b) Tony puts q marbles on the table. He has 8 q marbles in his box.
(c) Our class has n students. The school has 20 n students.
(d) Jaggu is z years old. His uncle is 4z yr old and his aunt is (4z- 3)yr old.
(e) In an arrangement of dots, there are t rows.Each row contains 5 dots.

Savitri has a sum of Rs x. She spent  Rs 1000 on grocery, Rs 500 on clothes and Rs 400 on education and received Rs 200 as a gift. How much money (in Rs ) is left with her?

Which of the following represents 6\(\times\)x?

Given, expression for P divided by 15 is

The solution of the equation 5x - 4 = - 24 is __________

If 7x + 6 = 48, then the value of x is ___________

An auto rickshaw charges Rs 10 for the first kilometre, then Rs 8 for each such subsequent kilometre. The total charge (in Rs) for d kilometers is ________

The distance between New Delhi and Bhopal is not a variable

a = 3 is a solution of the equation 2a - 1= 5.

In the equation 7k - 7 = 7, the variable is 7.

State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable.
\(\frac { 3q }{ 2 } <5\)

State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable.
20 = 5y

Can you now write the rule for making patterns of F?