NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 4: Simple Equations

Fill in the Blanks

19. The sum of two numbers is 60 and their difference is 30.

(a) If smaller number is x, the other number is ________ (use sum).

(b) The difference of numbers in term of x is ________.

(c) The equation formed is ________.

(d) The solution of the equation is ________.

(e) The numbers are ________ and ________.

20. Sum of two numbers is 81. One is twice the other.

(a) If smaller number is x, the other number is ________.

(b) The equation formed is ________.

(c) The solution of the equation is ________.

(d) The numbers are ________ and ________.

21. In a test Abha gets twice the marks as that of Palak. Two times Abha's marks and three times Palak's marks make 280.

(a) If Palak gets x marks, Abha gets ________ marks.

(b) The equation formed is ________.

(c) The solution of the equation is ________.

(d) Marks obtained by Abha are ________.

22. The length of a rectangle is two times its breadth. Its perimeter is 60 cm.

(a) If the breadth of rectangle is x cm, the length of the rectangle is ________.

(b) Perimeter in terms of x is ________.

(c) The equation formed is ________.

(d) The solution of the equation is ________.

23. In a bag there are 5 and 2 rupee coins. If they are equal in number and their worth is ₹70, then

(a) The worth of x coins of ₹5 each ________.

(b) The worth of x coins of ₹2 each ________.

(c) The equation formed is ________.

(d) There are ________ 5 rupee coins and ________ 2 rupee coins.

24. In a Mathematics quiz, 30 prizes consisting of 1st and 2nd prizes only are to be given. 1st and 2nd prizes are worth ₹2000 and ₹1000, respectively. If the total prize money is ₹52,000 then show that:

(a) If 1st prizes are x in number the number of 2nd prizes are ________.

(b) The total value of prizes in terms of x are ________.

(c) The equation formed is ________.

(d) The solution of the equation is ________.

(e) The number of 1st prizes are ________ and the number of 2nd prizes are ________.

If z + 3 = 5, then z = ________.

________ is the solution of the equation 3x − 2 = 7.

________ is the solution of 3x + 10 = 7.

If 2x + 3 = 5, then value of 3x + 2 is ________.

In integers, 4x − 1 = 8 has ________ solution.

In natural numbers, 4x + 5 = −7 has ________ solution.

In natural numbers, x − 5 = −5 has ________ solution.

In whole numbers, x + 8 = 12 − 4 has ________ solution.

If 5 is added to three times a number, it becomes the same as 7 is subtracted from four times the same number. This fact can be represented as ________.

x + 7 = 10 has the solution ________.

x − 0 = ________; when 3x = 12.

x − 1 = ________; when 2x = 2.

x − ________ = 15; when x/2 = 6.

The solution of the equation x + 15 = 19 is ________.

Finding the value of a variable in a linear equation that ________ the equation is called a ________ of the equation.

Any term of an equation may be transposed from one side of the equation to the other side of the equation by changing the ________ of the term.

If 9/5 x = 18/5, then x = ________.

If 3 − x = −4, then x = ________.

If x − 1/2 = −1/2, then x = ________.

If 1/6 − x = 1/6, then x = ________.

If 10 less than a number is 65, then the number is ________.

If a number is increased by 20, it becomes 45. Then the number is ________.

If 84 exceeds another number by 12, then the other number is ________.

If x − 7/8 = 7/8, then x = ________.