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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 920 · 40 sums
TalentJR

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.Farhan thinks of a number, multiplies it by 6 and then adds 1. The result is 19. What is the number?
  2. 2.Solve: m/4 + 7 = 16. What is m?
  3. 3.Solve: 8(y + 8) = 104. What is y?
  4. 4.Solve: 9x − 32 = 67. What is x?
  5. 5.Solve: 5m + 20 = 80. What is m?
  6. 6.Solve: 8t − 18 = 94. What is t?
  7. 7.Solve: t/3 + 3 = 17. What is t?
  8. 8.Gurpreet thinks of a number, multiplies it by 8 and then adds 23. The result is 47. What is the number?
  9. 9.Solve: y/8 + 18 = 23. What is y?
  10. 10.Solve: 2x + 11 = 15. What is x?
  11. 11.Solve: 9(m + 5) = 144. What is m?
  12. 12.Gurpreet thinks of a number, multiplies it by 4 and then adds 7. The result is 47. What is the number?
  13. 13.Lakshmi is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  14. 14.Saanvi is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  15. 15.Ananya’s mother is four times as old as Ananya. Their ages add up to 55 years. How old is Ananya?
  16. 16.Solve: 3m + 21 = 27. What is m?
  17. 17.Solve: 5x + 12 = 87. What is x?
  18. 18.Aarav thinks of a number, multiplies it by 4 and then adds 15. The result is 59. What is the number?
  19. 19.Solve: 8(y + 1) = 64. What is y?
  20. 20.Saanvi’s mother is three times as old as Saanvi. Their ages add up to 60 years. How old is Saanvi?
  21. 21.Solve: 5m + 23 = 53. What is m?
  22. 22.Solve: 9(p + 9) = 171. What is p?
  23. 23.Meera thinks of a number, multiplies it by 2 and then adds 11. The result is 27. What is the number?
  24. 24.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 24 years. How old is Ishaan?
  25. 25.Kabir thinks of a number, multiplies it by 2 and then adds 2. The result is 30. What is the number?
  26. 26.Solve: n/3 + 19 = 21. What is n?
  27. 27.Solve: 6(n + 2) = 48. What is n?
  28. 28.Kavya is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  29. 29.Rahul is 3 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  30. 30.Solve: p/8 + 9 = 24. What is p?
  31. 31.Solve: 7p + 17 = 87. What is p?
  32. 32.Solve: 8(n + 4) = 64. What is n?
  33. 33.Saanvi is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  34. 34.Solve: 2n + 28 = 54. What is n?
  35. 35.Manav’s mother is twice as old as Manav. Their ages add up to 30 years. How old is Manav?
  36. 36.Ananya’s mother is four times as old as Ananya. Their ages add up to 45 years. How old is Ananya?
  37. 37.Solve: 3y + 17 = 62. What is y?
  38. 38.Solve: 6(y + 3) = 108. What is y?
  39. 39.Solve: 6y − 25 = 5. What is y?
  40. 40.Solve: 7(m + 3) = 126. What is m?

Answer key

  1. 3
  2. 36
  3. 5
  4. 11
  5. 12
  6. 14
  7. 42
  8. 3
  9. 40
  10. 2
  11. 11
  12. 10
  13. 4
  14. 5
  15. 11
  16. 2
  17. 15
  18. 11
  19. 7
  20. 15
  21. 6
  22. 10
  23. 8
  24. 8
  25. 14
  26. 6
  27. 6
  28. 10
  29. 6
  30. 120
  31. 10
  32. 4
  33. 6
  34. 13
  35. 10
  36. 9
  37. 15
  38. 15
  39. 5
  40. 15

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