Simple Equations – CBSE Class 7 Mathematics/ Worksheet

Simple Equations- Class 7 Mathematics/Worksheet is about the Model questions that you can expect for Yearly Examination. Here you can find out practice problems for Class 7 Mathematics. This worksheet is designed for CBSE Class 7 students.

Simple Equations – Class 7 Mathematics/Worksheet
Important Questions for CBSE Class 7 Mathematics
Fill in the blanks:

1. The solution of 3n + 4 = 19 is ————–
2. ‘Sum of the numbers p and 3 is 8’ can be written as ——
3. ‘5 is added to twice a number y’ can be written as ———–
4. The solution of 3a = 15 is ———–
5. If 3 times a number is 27, then the number is ————-
   Answer the following:
6. Find three consecutive numbers whose sum is 33.
7. Solve:
   a) 2(x – 1) = 8
   b) 10 – (y – 5) = 0
8. Write the following statements in the form of equations:
   a) 9 is subtracted from thrice a number y gives 3.
   b) 5 multiplied by a number p give 25
9. Convert the following equations in statement form:
   a) 3a = 9
   b) 2x – 9 = 5
10. Solve: 3(p – 2) = (p – 4) – 5
11. If 5 is added to twice a number x gives 15. Find the number?
12. The sum of three consecutive even numbers is 36. Find the numbers?
13. Manu’s father’s age is 3 times Manu’s age. Find Manu’s age if father is 45 year old.
14. The perimeter of a rectangle is 24 cm. If the breadth of the rectangle is 5 cm, find its length?
15. Solve:
    a) 3x + 5 = x – 5
    b) 2x = 3(x – 4) + 5

ANSWERS:

1. n = 5
2. p + 3 = 8
3. 5 + 2y
4. a = 5
5. 9
6. Let the three consecutive numbers be y, y+ 1 and y + 2.
   Given y + y + 1 + y + 2 = 33
   3y + 3 = 33
   3y = 33 – 3 = 30
   y = 30/3 = 10
   Three consecutive numbers are 10, 11 and 12.
7. a) 2( x – 1) = 8
   2x – 2 = 8
   2x = 8 + 2 = 10
   x = 10/2 = 5
   b) 10 – (y – 5) =0
   10 – y + 5 = 0
   15 – y = 0
   y =15
8. a) 3y – 9 = 3
   b) 5p = 25
9. a) Thrice a number a gives 9
   b) 9 subtracted from twice a number x gives 5.
10. 3(p – 2) = (p – 4) – 5
    3p – 6 = p – 4 – 5
    3p – p = -9 + 6
    2p = -3
    p = -3/2
11. 5 + 2x = 15
    2x = 15 – 5 = 10
    x = 10/2 = 5
12. Let the three consecutive even numbers be x, x+2 and x+ 4.
    Given x + x + 2 + x + 4 = 36
    3x + 6 = 36
    3x = 36 – 6 = 30
    x = 30/3 = 10
    The consecutive even numbers are 10, 12 and 14.
13. Let Manu’s age be y.
    Given 3y = 45
    y = 45/3 = 15
14. Perimeter = 24 cm
    Breadth = 5 cm
    Let length be l.
    We know that 2(l + 5) = 24
    l + 5 = 24/2 = 12
    l = 12 – 5 = 7 cm
15. a) 3x + 5 = x – 5
    3x – x = -5 – 5
    2x = -10
    x = -10/2 = -5
    b) 2x = 3(x – 4) + 5
    2x = 3x – 12 + 5
    2x – 3x = -7
    -x = -7
    x = 7