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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 180 · 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: 9(p + 7) = 99. What is p?
  2. 2.Solve: 2p + 9 = 29. What is p?
  3. 3.Solve: 4y − 18 = 18. What is y?
  4. 4.Solve: 3p − 6 = 30. What is p?
  5. 5.Solve: 2(t + 8) = 18. What is t?
  6. 6.Solve: 8m + 26 = 50. What is m?
  7. 7.Solve: 4y − 38 = 2. What is y?
  8. 8.Solve: 6t + 9 = 45. What is t?
  9. 9.Solve: x/5 + 20 = 30. What is x?
  10. 10.Solve: 9(n + 3) = 153. What is n?
  11. 11.Solve: 3m − 5 = 1. What is m?
  12. 12.Solve: 8p − 59 = 13. What is p?
  13. 13.Karan thinks of a number, multiplies it by 4 and then adds 17. The result is 61. What is the number?
  14. 14.Sneha thinks of a number, multiplies it by 8 and then adds 8. The result is 24. What is the number?
  15. 15.Solve: n/7 + 8 = 16. What is n?
  16. 16.Dev thinks of a number, multiplies it by 2 and then adds 29. The result is 51. What is the number?
  17. 17.Solve: 3p − 5 = 7. What is p?
  18. 18.Solve: 3t − 12 = 27. What is t?
  19. 19.Solve: 4m − 1 = 35. What is m?
  20. 20.Solve: 5(p + 1) = 75. What is p?
  21. 21.Rohan is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  22. 22.Zoya’s mother is twice as old as Zoya. Their ages add up to 42 years. How old is Zoya?
  23. 23.Solve: 2m − 2 = 8. What is m?
  24. 24.Solve: 8y − 4 = 4. What is y?
  25. 25.Solve: 8t + 11 = 67. What is t?
  26. 26.Solve: y/2 + 13 = 17. What is y?
  27. 27.Solve: y/2 + 6 = 20. What is y?
  28. 28.Solve: t/4 + 19 = 20. What is t?
  29. 29.Solve: 4(t + 2) = 16. What is t?
  30. 30.Solve: 8p + 2 = 42. What is p?
  31. 31.Solve: 9y + 2 = 20. What is y?
  32. 32.Solve: 9p + 6 = 42. What is p?
  33. 33.Solve: 7p + 30 = 135. What is p?
  34. 34.Solve: y/7 + 8 = 13. What is y?
  35. 35.Solve: 3n − 20 = 25. What is n?
  36. 36.Solve: 5x + 8 = 83. What is x?
  37. 37.Rohan is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  38. 38.Solve: m/2 + 6 = 19. What is m?
  39. 39.Aarav thinks of a number, multiplies it by 3 and then adds 10. The result is 16. What is the number?
  40. 40.Solve: m/6 + 18 = 28. What is m?

Answer key

  1. 4
  2. 10
  3. 9
  4. 12
  5. 1
  6. 3
  7. 10
  8. 6
  9. 50
  10. 14
  11. 2
  12. 9
  13. 11
  14. 2
  15. 56
  16. 11
  17. 4
  18. 13
  19. 9
  20. 14
  21. 15
  22. 14
  23. 5
  24. 1
  25. 7
  26. 8
  27. 28
  28. 4
  29. 2
  30. 5
  31. 2
  32. 4
  33. 15
  34. 35
  35. 15
  36. 15
  37. 4
  38. 26
  39. 2
  40. 60

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