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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 736 · 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: 7x − 10 = 32. What is x?
  2. 2.Joseph thinks of a number, multiplies it by 2 and then adds 4. The result is 18. What is the number?
  3. 3.Aditya thinks of a number, multiplies it by 8 and then adds 20. The result is 36. What is the number?
  4. 4.Pooja thinks of a number, multiplies it by 3 and then adds 13. The result is 40. What is the number?
  5. 5.Solve: 3m + 8 = 53. What is m?
  6. 6.Solve: 3(m + 1) = 36. What is m?
  7. 7.Solve: 2p − 1 = 7. What is p?
  8. 8.Solve: 9(p + 9) = 90. What is p?
  9. 9.Farhan thinks of a number, multiplies it by 2 and then adds 1. The result is 21. What is the number?
  10. 10.Solve: 8(t + 1) = 104. What is t?
  11. 11.Diya is 3 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  12. 12.Pooja is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  13. 13.Solve: p/6 + 6 = 19. What is p?
  14. 14.Solve: n/7 + 2 = 4. What is n?
  15. 15.Solve: t/6 + 6 = 9. What is t?
  16. 16.Lakshmi is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  17. 17.Solve: m/2 + 17 = 23. What is m?
  18. 18.Solve: x/6 + 5 = 12. What is x?
  19. 19.Solve: 6(t + 6) = 108. What is t?
  20. 20.Solve: 9(t + 5) = 72. What is t?
  21. 21.Zoya’s mother is three times as old as Zoya. Their ages add up to 44 years. How old is Zoya?
  22. 22.Manav is 3 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  23. 23.Solve: 2p + 18 = 42. What is p?
  24. 24.Solve: 3y − 5 = 25. What is y?
  25. 25.Solve: 9p − 30 = 6. What is p?
  26. 26.Sneha thinks of a number, multiplies it by 7 and then adds 6. The result is 34. What is the number?
  27. 27.Aditya thinks of a number, multiplies it by 8 and then adds 15. The result is 119. What is the number?
  28. 28.Kabir thinks of a number, multiplies it by 7 and then adds 16. The result is 86. What is the number?
  29. 29.Solve: 4(x + 2) = 64. What is x?
  30. 30.Kavya thinks of a number, multiplies it by 2 and then adds 15. The result is 45. What is the number?
  31. 31.Solve: 4y + 3 = 31. What is y?
  32. 32.Solve: 2m − 1 = 25. What is m?
  33. 33.Solve: 8y + 14 = 126. What is y?
  34. 34.Solve: 6(t + 1) = 96. What is t?
  35. 35.Solve: 4(y + 3) = 52. What is y?
  36. 36.Solve: 9(p + 1) = 27. What is p?
  37. 37.Solve: 8p + 5 = 101. What is p?
  38. 38.Solve: 3p + 3 = 42. What is p?
  39. 39.Solve: 9(x + 4) = 63. What is x?
  40. 40.Dev thinks of a number, multiplies it by 5 and then adds 23. The result is 58. What is the number?

Answer key

  1. 6
  2. 7
  3. 2
  4. 9
  5. 15
  6. 11
  7. 4
  8. 1
  9. 10
  10. 12
  11. 7
  12. 7
  13. 78
  14. 14
  15. 18
  16. 4
  17. 12
  18. 42
  19. 12
  20. 3
  21. 11
  22. 7
  23. 12
  24. 10
  25. 4
  26. 4
  27. 13
  28. 10
  29. 14
  30. 15
  31. 7
  32. 13
  33. 14
  34. 15
  35. 10
  36. 2
  37. 12
  38. 13
  39. 3
  40. 7

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