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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 660 · 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.Nisha thinks of a number, multiplies it by 6 and then adds 16. The result is 58. What is the number?
  2. 2.Solve: 2p + 29 = 31. What is p?
  3. 3.Joseph’s mother is four times as old as Joseph. Their ages add up to 45 years. How old is Joseph?
  4. 4.Rohan is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  5. 5.Kabir’s mother is twice as old as Kabir. Their ages add up to 24 years. How old is Kabir?
  6. 6.Solve: 3x − 1 = 2. What is x?
  7. 7.Solve: 6(m + 8) = 66. What is m?
  8. 8.Solve: 3y + 29 = 44. What is y?
  9. 9.Solve: 5n + 17 = 22. What is n?
  10. 10.Solve: 6p − 10 = 62. What is p?
  11. 11.Kavya thinks of a number, multiplies it by 7 and then adds 2. The result is 16. What is the number?
  12. 12.Solve: 7t + 27 = 69. What is t?
  13. 13.Solve: 3n − 3 = 36. What is n?
  14. 14.Solve: 4(p + 8) = 72. What is p?
  15. 15.Solve: x/5 + 9 = 11. What is x?
  16. 16.Solve: 8y − 33 = 15. What is y?
  17. 17.Solve: 6m + 8 = 68. What is m?
  18. 18.Solve: x/5 + 7 = 10. What is x?
  19. 19.Solve: 5(y + 6) = 45. What is y?
  20. 20.Solve: p/4 + 3 = 9. What is p?
  21. 21.Solve: 4(m + 9) = 80. What is m?
  22. 22.Solve: 4p − 29 = 11. What is p?
  23. 23.Solve: x/8 + 4 = 17. What is x?
  24. 24.Isha thinks of a number, multiplies it by 9 and then adds 6. The result is 114. What is the number?
  25. 25.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 21 years. How old is Saanvi?
  26. 26.Priya’s mother is three times as old as Priya. Their ages add up to 44 years. How old is Priya?
  27. 27.Joseph’s mother is twice as old as Joseph. Their ages add up to 21 years. How old is Joseph?
  28. 28.Tara thinks of a number, multiplies it by 4 and then adds 2. The result is 18. What is the number?
  29. 29.Solve: m/6 + 6 = 14. What is m?
  30. 30.Solve: 6(p + 3) = 108. What is p?
  31. 31.Solve: 6(n + 8) = 84. What is n?
  32. 32.Solve: 7m − 11 = 87. What is m?
  33. 33.Karan is 5 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  34. 34.Solve: y/7 + 5 = 11. What is y?
  35. 35.Solve: 7y − 7 = 56. What is y?
  36. 36.Solve: 6x − 10 = 32. What is x?
  37. 37.Manav’s mother is three times as old as Manav. Their ages add up to 48 years. How old is Manav?
  38. 38.Farhan’s mother is three times as old as Farhan. Their ages add up to 20 years. How old is Farhan?
  39. 39.Solve: m/2 + 12 = 19. What is m?
  40. 40.Solve: n/9 + 12 = 23. What is n?

Answer key

  1. 7
  2. 1
  3. 9
  4. 4
  5. 8
  6. 1
  7. 3
  8. 5
  9. 1
  10. 12
  11. 2
  12. 6
  13. 13
  14. 10
  15. 10
  16. 6
  17. 10
  18. 15
  19. 3
  20. 24
  21. 11
  22. 10
  23. 104
  24. 12
  25. 7
  26. 11
  27. 7
  28. 4
  29. 48
  30. 15
  31. 6
  32. 14
  33. 14
  34. 42
  35. 9
  36. 7
  37. 12
  38. 5
  39. 14
  40. 99

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