Using only letters and sign, write the expression for the statements given below:
product of 6 and x divided by 2

Name the properties, where x, y and z are variable and can takeany numerical values.
x\(\times\)(y + z) = x\(\times\)y + x\(\times\)z

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.

The teacher distributes 10 pencils per student. Can you tell how many pencils are needed, given the number of students? (use x for the number of students).

Find the rule, which gives the number of matchsticks required to make the following matchsticks patterns. Use a variable to write the rule.
A pattern of letter H as  

Write down the operations which are used in forming the following expressions 2x-3.

To find sum of three numbers 14, 27 and 13,we can have two ways
(a) We may first add 14 and 27 to get 41 and thenode 13 to it to get the total sum 54 or
(b) We may add 27 and 13 to get 40 and then add14 III get the sum 54. Thus, (14+ 27)+ 13= 14+ (27+ 13) This can be done for any three numbers. This property is known as the associativity of addition 01 numbers. Express this property which we have already studied in the chapter on whole numbers in, a general way, by using variables a, band c.

If there are 25 pictures in an album, then find the rule which gives total number of pictures in 'x' albums.

If there are 50 mangoes in a box, how will you write the total number of mangoes in terms of the number of boxes? (Use bfor the number of boxes).

We already know the rule for the pattern of letters L, C and F Some of the letters from question 1 (given above) give us the same rule as that given by L. Which are these? Why does this happen?

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

The internal angles of a triangle are 2 x ,3 x and 5x. What is the difference between the largest and smallest angle?

Translate each of the following statements into an equation, using x as the variable.
(a) 13 subtracted from twice a number gives 3.
(b) One-fifth of a number is 5 less than that number.
(c) Two-third of a number is 12.
(d) 9 added to twice a number gives 13.
(e) 1 subtracted from one-third of a number gives 1.

Meena, Beena and Leena are climbing the steps to the hill top. Meena is at step s, Beena is 8 steps ahead and Leena 7 steps behind. Where are Beena and Meena? The total number of stepsto the hill top is 10 less than 4 times what Meena has reached. Express the total number of steps using s.

Solve: k - 3 = 3

Solve:\(\frac { y }{ 3 } \)=5

The side of a square is I. Its perimeter is

The rule, which gives the number of matchsticks required to make the matchstick pattern ◻️ is

The rule, which gives the number of matchsticks required to make the matchstick pattern L, is

If x takes the value 3, then x + 12 is

Given, expression for P divided by 15 is

m exceeds n by 10 can be expressed as ________

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

The LHS of an ________ is equal to its RHS only for a definite value of the variable in the equation.

The variable can take _________ values.

3x - 6 > 15 is an equation.

The distance between New Delhi and Bhopal is not a variable

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

The total distance travelled by a car in x h at a constant speed of y km/h, is xy km.

State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable.
7-x=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

State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable
2m < 30

Can you make some more expressions?

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