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
If the side of an equilateral triangle is 3x, find its perimeter.
Complete the table and by inspection of the table, find the solution to the equation x -11 = 6
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 = _____
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.
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.
Here is a pattern of houses with matchsticks:
Think of a number, add 2 to it and then multiply the sum by 6, the result is 42.
The side of a regular hexagon is s cm. Find its perimeter.
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
If x = 3, find the value of the following:
(i) x – 7
(ii)) – 1
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.
Complete the table and find the solution of the equation 19 – x = 13
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).
If a = 3, b = and c = , find the value of
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
Think of a number x. Multiply it by 3 and add 5 to the product and subtract y subsequently. Find the resulting number.
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)
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.)
Write which letters give us the same rule as that given by L.