CBSE Class 7 Simple Equations Worksheets with answers in PDF format for free download

Simple Equations Worksheets for Class 7 Maths – Chapter 4

January 25, 2023

Download free pdf of Chapter 4 Simple Equations Worksheets for Class 7 Maths with answers. Students can easily get all the Class 7 Maths Worksheets and Exercises in Free Printable ( PDF Format) as per the latest syllabus and examination pattern in CBSE and NCERT pattern. Below you will find all the Simple Equations related sums that are asked in 7th Grade Mathematics Exams Across Indian Schools.

Simple Equations Worksheets for Class 7 in PDF

CBSE Class 7 Simple Equations Worksheets with answers

Q.1 Solve for the value of the unknown variable:

  1. 3x – 5 = 7
  2. 2y + 8 = 20
  3. 4a – 10 = 26
  4. 5b + 15 = 45
  5. 2c – 7 = 11

Answers :

  1. x = 4
  2. y = 6
  3. a = 9
  4. b = 6
  5. c = 9

Q.2 Create equations based on the given statements:

  1. Four times a number minus 3 is equal to 17. Write the equation.
  2. The sum of twice a number and 5 is 11. Write the equation.
  3. Seven less than three times a number is equal to 26. Write the equation.
  4. If you add 9 to a number and then divide by 3, you get 7. Write the equation.
  5. Ten times a number plus 8 is equal to 58. Write the equation.

Answers :

  1. 4x – 3 = 17
  2. 2y + 5 = 11
  3. 3z – 7 = 26
  4. (x + 9) / 3 = 7
  5. 10a + 8 = 58

Q.3 Solve the equations and check your solutions:

  1. 2(x – 3) = 14
  2. 3(2y + 5) = 27
  3. 4(a + 2) = 40
  4. 5(3b – 2) = 25
  5. 6(c – 4) = 18

Answers

  1. x = 10 (Check: 2(10 – 3) = 2(7) = 14)
  2. y = 4 (Check: 3(2*4 + 5) = 3(13) = 39)
  3. a = 8 (Check: 4(8 + 2) = 4(10) = 40)
  4. b = 5 (Check: 5(3*5 – 2) = 5(15 – 2) = 5(13) = 65)
  5. c = 10 (Check: 6(10 – 4) = 6(6) = 36)

Q.4 Solve the following equations.

  1. 2x + 5 = 13
    Solution: Subtract 5 from both sides: 2x = 8. Divide both sides by 2: x = 4.
  2. 3y – 7 = 16
    Solution: Add 7 to both sides: 3y = 23. Divide both sides by 3: y = 7.67 (rounded to two decimal places).
  3. 4z + 9 = 25
    Solution: Subtract 9 from both sides: 4z = 16. Divide both sides by 4: z = 4.
  4. 5a – 3 = 22
    Solution: Add 3 to both sides: 5a = 25. Divide both sides by 5: a = 5.
  5. 6b + 2 = 32
    Solution: Subtract 2 from both sides: 6b = 30. Divide both sides by 6: b = 5.

Q.5 Write the equation for the following word problems and solve.

  1. The sum of a number and 8 is 20. Find the number.
    Equation: x + 8 = 20
    Solution: Subtract 8 from both sides: x = 12.
  2. Three times a number decreased by 5 is equal to 22. Find the number.
    Equation: 3x – 5 = 22
    Solution: Add 5 to both sides: 3x = 27. Divide both sides by 3: x = 9.
  3. The product of a number and 7 is 63. Find the number.
    Equation: 7x = 63
    Solution: Divide both sides by 7: x = 9.
  4. Twice a number increased by 4 is equal to 18. Find the number.
    Equation: 2x + 4 = 18
    Solution: Subtract 4 from both sides: 2x = 14. Divide both sides by 2: x = 7.
  5. Five less than a number multiplied by 6 is equal to 42. Find the number.
    Equation: 6x – 5 = 42
    Solution: Add 5 to both sides: 6x = 47. Divide both sides by 6: x = 7.83 (rounded to two decimal places).

Q.6 Which is a solution of the equation 2x = 12
(a) x = 2     (b) x = 3     (c) x = 4     (d) x = 6

Answer : (b) x = 3

Q.7 Which is a solution of the equation x + 4 = 6
(a) x = 2     (b) x = 3     (c) x = 4     (d) x = 6

Answer: (a) x = 2

Q.8 Which is a solution of the equation 7x + 5 = 19
(a) x = 2     (b) x = 3     (c) x = 4     (d) x = 6

Answer: (a) x = 2

Q.9 The solution of the equation 3n–2 = 46 is n =
(a) 12        (b) 11      (c) 16     (d) none of these     

Answer: (b) 11

Q.10 The solution of the equation 5m+7=17 is m =
(a) 2     (b) 3     (c) 4     (d) none of these

Answer: (a) 2

Q.11 Solve the following equations.
(a) 4 = 5(p – 2)     
(b) – 4 = 5(p – 2)     
(c) –16 = –5 (2 – p)
(d) 10 = 4 + 3(t + 2)    
 (e) 28 = 4 + 3(t + 5)     
(f) 0 = 16 + 4(m – 6)

Answer:
(a) p = 2
(b) p = -2
(c) p = 2
(d) t = 4
(e) t = 7
(f) m = 6

Q.12 The length of a rectangular plot exceeds its breadth by 5 m. If the perimeter of the plot is 142 m, find the dimensions of the plot.

Answer: Length = 26 m, Breadth = 21 m

Q.13 Raju is 19 years younger than his cousin. After 5 years, their ages will be in the ratio 2 : 3. Find their present age.

Answer: Raju’s age = 14 years, Cousin’s age = 33 years

Q.14 A father is 30 years older than his son. In 12 years, the man will be three times as old as his son. Find their present ages.

Answer: Father’s age = 42 years, Son’s age = 12 years

Q.15 The ages of Arun and Rahul are in the ratio 7 : 5. Ten years hence, the ratio of their ages will be 9 : 7. Find their present ages.

Answer: Arun’s age = 14 years, Rahul’s age = 10 years

Q.16 In an examination, a student requires 40% of the total marks to pass. If Vandana gets 185 marks and fails by 15 marks, find the total marks.

Answer: Total marks = 500

Q.17 Five years ago a man was seven times as old as his son. Five years hence, the father will be three times as old as his son. Find their present ages.

Answer: Father’s age = 35 years, Son’s age = 5 years

Q.18 A sum of Rs. 500 is in the form of denominations of Rs. 5 and Rs. 10. If the total number of notes is 90, find the number of notes of each type.

Answer: Number of Rs. 5 notes = 50, Number of Rs. 10 notes = 40

Q.19 The total cost of 3 tables and 2 chairs is Rs. 745. If a table costs Rs. 40 more than a chair, find the price of each.

Answer: Price of a table = Rs. 205, Price of a chair = Rs. 165

Q.20 After 12 years Uday will be 3 times as old as he was 4 years ago. Find his present age.

Answer: Present age of Uday = 8 years

Q.21 Twice a number when decreased by 7 gives 45. Find the number.

Answer: The number = 26

Q.22 Thrice a number when increased by 5 gives 44. Find the number.

Answer: The number 13

Q.23 Laxmi’s father is 49 years old. He is 4 years older than three times Laxmi’s age. What is Laxmi’s age?

Answer: Laxmi’s age = 15 years

Simple Equations Worksheets for CBSE Class 7 in PDF