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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 749 · 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.Solve: 6m − 9 = 33. What is m?
  2. 2.Solve: t/5 + 9 = 17. What is t?
  3. 3.Sneha thinks of a number, multiplies it by 4 and then adds 13. The result is 53. What is the number?
  4. 4.Manav is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  5. 5.Dev’s mother is twice as old as Dev. Their ages add up to 30 years. How old is Dev?
  6. 6.Solve: 6n − 3 = 9. What is n?
  7. 7.Vivaan thinks of a number, multiplies it by 6 and then adds 22. The result is 94. What is the number?
  8. 8.Solve: 5m + 18 = 53. What is m?
  9. 9.Solve: 2x + 16 = 18. What is x?
  10. 10.Joseph is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  11. 11.Manav thinks of a number, multiplies it by 2 and then adds 6. The result is 18. What is the number?
  12. 12.Solve: 2p − 2 = 14. What is p?
  13. 13.Kavya’s mother is three times as old as Kavya. Their ages add up to 44 years. How old is Kavya?
  14. 14.Zoya’s mother is twice as old as Zoya. Their ages add up to 15 years. How old is Zoya?
  15. 15.Solve: 6(m + 3) = 48. What is m?
  16. 16.Solve: 8m + 30 = 134. What is m?
  17. 17.Solve: 7p − 29 = 62. What is p?
  18. 18.Farhan thinks of a number, multiplies it by 4 and then adds 4. The result is 20. What is the number?
  19. 19.Tara is 7 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  20. 20.Solve: 8y + 18 = 82. What is y?
  21. 21.Solve: 3x + 9 = 33. What is x?
  22. 22.Solve: 7p − 6 = 8. What is p?
  23. 23.Solve: t/2 + 11 = 20. What is t?
  24. 24.Solve: p/6 + 1 = 3. What is p?
  25. 25.Saanvi thinks of a number, multiplies it by 6 and then adds 20. The result is 86. What is the number?
  26. 26.Solve: 6y − 5 = 7. What is y?
  27. 27.Solve: 2t + 24 = 32. What is t?
  28. 28.Solve: 7x − 6 = 8. What is x?
  29. 29.Lakshmi is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  30. 30.Vivaan thinks of a number, multiplies it by 6 and then adds 27. The result is 69. What is the number?
  31. 31.Solve: 2n − 23 = 5. What is n?
  32. 32.Solve: y/5 + 1 = 2. What is y?
  33. 33.Solve: t/8 + 11 = 24. What is t?
  34. 34.Solve: x/7 + 9 = 11. What is x?
  35. 35.Solve: m/9 + 2 = 14. What is m?
  36. 36.Solve: 3(y + 2) = 39. What is y?
  37. 37.Solve: x/9 + 13 = 28. What is x?
  38. 38.Solve: 6n − 39 = 33. What is n?
  39. 39.Solve: 4(m + 9) = 92. What is m?
  40. 40.Solve: 8t − 2 = 62. What is t?

Answer key

  1. 7
  2. 40
  3. 10
  4. 14
  5. 10
  6. 2
  7. 12
  8. 7
  9. 1
  10. 8
  11. 6
  12. 8
  13. 11
  14. 5
  15. 5
  16. 13
  17. 13
  18. 4
  19. 9
  20. 8
  21. 8
  22. 2
  23. 18
  24. 12
  25. 11
  26. 2
  27. 4
  28. 2
  29. 4
  30. 7
  31. 14
  32. 5
  33. 104
  34. 14
  35. 108
  36. 11
  37. 135
  38. 12
  39. 14
  40. 8

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