
Question 1:
Give expression for the following:
(a) 12 subtracted from z.
(b) 25 added to r.
(c) p multiplied by 16.
(d) y divided by 8
Question 2:
If the side of an equilateral triangle is 3x, find its perimeter.
Question 3:
Complete the table and by inspection of the table, find the solution to the equation x -11 = 6
Question 4:
Fill in the blanks:
(a) 5 added to -5 = ______
(b) If x = 3, then 3x – 5 = _____
(c) If x = 1 and y = 2, then 2x + 3y = _____
(d) If 10x – 6 = 14, then x = _____
(e) 4 less than a number x = _____
Question 5:
A starts his car from Delhi at 6.00 am to Amritsar. The uniform speed of his car is x km/h. At 12.00 noon, he finds that he is still 50 km away from Amritsar. Find the distance between Delhi and Amritsar.
Question 6:
Anshika’s Score in Science is 25 more than the two-third of her score in Sanskrit. If she scores x marks in Sanskrit, find her score in Science.
Question 7:
Here is a pattern of houses with matchsticks:
Question 8:
Think of a number, add 2 to it and then multiply the sum by 6, the result is 42.
Question 9:
The side of a regular hexagon is s cm. Find its perimeter.
Question 10:
State which of the following are equations with a variable. In the case of equations with a variable, identify the variable.
(a) x + 20 = 70
(b) 8 × 3 = 24
(c) 2p > 30
(d) n – 4 = 100
(e) 20b = 80
(f) < 50
Question 11:
If x = 3, find the value of the following:
(i) x – 7
(ii)) – 1
Question 12:
Get the algebraic expressions in the following cases using variables, constants and arithmetic operations.
(i) Number 5 added to three times the product of number m and n.
(ii) Product of numbers y and z subtracted from 10.
(iii)Sum of numbers x and y subtracted from their product.
Question 13:
Complete the table and find the solution of the equation 19 – x = 13
Question 14:
True and False statement:
(i) x=-3 is the solution of the equation x + 4=1
(ii) 0 is the solution of the equation x + 1 = 1
(iii) x=20 is the solution of the equation 2x + 5 = 25
(iv) The three sides of the triangle are a,a,b. Then perimeter of the triangle is (a+b).
Question 15:
If a = 3, b = and c =
, find the value of
Question 16:
Give expressions in the following cases:
(a) 5 is added to 4 times a number x
(b) Twice a number y subtracted from 9
(c) 6 times y to which 3 is added
(d) 5 is added to the sum of x and y
(e) n multiplied by 5 and 2 subtracted from the product
Question 17:
Think of a number x. Multiply it by 3 and add 5 to the product and subtract y subsequently. Find the resulting number.
Question 18:
State which of the following are equations with a variable?
(a) 12 = x – 5
(b) 2x > 7
(c) = 5
(d) 5 + 7 = 3 + 9
(e) 7 = (11 x 5) – (12 x 4)
Question 19:
The teacher distributes 5 pencils per student. Can you tell how many pencils are needed, given the number of students? (Use ‘s’ for number of students.)
Questions 20:
Write which letters give us the same rule as that given by L.
**********