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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 446 · 40 sums
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The method (Undo in reverse): ax + b = c → ax = c − b → x = (c − b) ÷ a. ax − b = c → ax = c + b. x/a + b = c → x/a = c − b → x = a × (c − b). a(x + b) = c → divide by a first: x + b = c ÷ a. Word problems: call the unknown x, write the equation, solve it, then check with the story.

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  1. 1.Lakshmi thinks of a number, multiplies it by 3 and then adds 29. The result is 35. What is the number?
  2. 2.Arjun thinks of a number, multiplies it by 7 and then adds 21. The result is 119. What is the number?
  3. 3.Solve: 2(n + 5) = 36. What is n?
  4. 4.Vivaan is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  5. 5.Kavya is 8 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  6. 6.Solve: n/2 + 9 = 19. What is n?
  7. 7.Farhan is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  8. 8.Solve: 3(n + 4) = 45. What is n?
  9. 9.Rahul’s mother is twice as old as Rahul. Their ages add up to 12 years. How old is Rahul?
  10. 10.Ishaan is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  11. 11.Kavya thinks of a number, multiplies it by 6 and then adds 6. The result is 96. What is the number?
  12. 12.Farhan is 4 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  13. 13.Ishaan thinks of a number, multiplies it by 8 and then adds 19. The result is 35. What is the number?
  14. 14.Solve: m/6 + 13 = 28. What is m?
  15. 15.Solve: 9t − 13 = 5. What is t?
  16. 16.Solve: 6(x + 3) = 36. What is x?
  17. 17.Kavya’s mother is twice as old as Kavya. Their ages add up to 24 years. How old is Kavya?
  18. 18.Solve: 6y − 23 = 1. What is y?
  19. 19.Solve: 4(y + 2) = 68. What is y?
  20. 20.Kavya thinks of a number, multiplies it by 9 and then adds 9. The result is 135. What is the number?
  21. 21.Zoya is 8 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  22. 22.Dev’s mother is twice as old as Dev. Their ages add up to 15 years. How old is Dev?
  23. 23.Solve: 5x − 12 = 53. What is x?
  24. 24.Solve: y/5 + 4 = 7. What is y?
  25. 25.Solve: 5t + 24 = 89. What is t?
  26. 26.Karan thinks of a number, multiplies it by 4 and then adds 19. The result is 31. What is the number?
  27. 27.Solve: 7y + 18 = 32. What is y?
  28. 28.Gurpreet thinks of a number, multiplies it by 2 and then adds 19. The result is 47. What is the number?
  29. 29.Solve: 5(y + 3) = 85. What is y?
  30. 30.Rahul thinks of a number, multiplies it by 6 and then adds 14. The result is 50. What is the number?
  31. 31.Solve: 7m + 15 = 113. What is m?
  32. 32.Solve: 4x + 24 = 48. What is x?
  33. 33.Solve: 6(p + 3) = 84. What is p?
  34. 34.Saanvi thinks of a number, multiplies it by 4 and then adds 29. The result is 61. What is the number?
  35. 35.Solve: y/4 + 7 = 8. What is y?
  36. 36.Solve: 9m + 5 = 59. What is m?
  37. 37.Solve: 6x − 73 = 11. What is x?
  38. 38.Aarav is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  39. 39.Solve: 9x + 29 = 38. What is x?
  40. 40.Solve: 7m + 4 = 18. What is m?

Answer key

  1. 2
  2. 14
  3. 13
  4. 7
  5. 4
  6. 20
  7. 11
  8. 11
  9. 4
  10. 7
  11. 15
  12. 9
  13. 2
  14. 90
  15. 2
  16. 3
  17. 8
  18. 4
  19. 15
  20. 14
  21. 12
  22. 5
  23. 13
  24. 15
  25. 13
  26. 3
  27. 2
  28. 14
  29. 14
  30. 6
  31. 14
  32. 6
  33. 11
  34. 8
  35. 4
  36. 6
  37. 14
  38. 4
  39. 1
  40. 2

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