Worksheet on Linear Equation

This is worksheet on linear equation in one variable.

Q -1 : Check whether the value given in the brackets is a solution to the given equation or not.
a. 3 x 2 = 8 x 12 (x = 2) b. 3x / 2 = 6 (x=3)
c. 3 x 2 = 8 x 12 (x = 2) d. 3x / 2 = 6 (x=3)
Q -2 : Solve each of the following equations.
a. x/2 = 0 b.x-1/3 = 2/3
c.10 – y =6 d.4/5 – x =3/5
e.2y-1/2=-1/3 f.14 = 7x/10 -8
g.3(x + 2)=15 h.(x-3)/5–2=–1
i. 6 x + 5 =2x + 17
Q.3 Mrs.Martin is 27 years older than her daughter Neil. After 8 years she will be twice as old as Neil. Find their present ages.

Q.4 A man is 4 times as old as his son. After 16 years, he will be only twice as old as his son. Find their present ages.

Q.5 In an isosceles triangle, the base angles are equal. The vertex angle is twice either base angle. What are the angles of the triangle?

Q.6 Two boys have 480 marbles between them. One arranges them in heaps of 6 marbles and the other in heaps of 9 each. If the total number of heaps is 72, how many marbles does each have?

Q.7 Sum of two numbers is 52. If one of the numbers is 10 more than the other, find the numbers.

Q.8 The present age of Jacob's father is three times that of Jacob. After 5 years, sum of their ages would be 70 years. Find their present ages.

Q.9 Length of a rectangle is 8m less than twice its width. If the perimeter of the rectangle is 56m, find its length and width.

Q.10 Sum of three consecutive integers is 24. Find the integers.
worksheet on linear equation


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