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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 523 · 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: 6y + 16 = 40. What is y?
  2. 2.Manav is 3 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  3. 3.Solve: 9x + 25 = 61. What is x?
  4. 4.Solve: 7(y + 9) = 119. What is y?
  5. 5.Solve: 2y − 1 = 1. What is y?
  6. 6.Kavya thinks of a number, multiplies it by 9 and then adds 2. The result is 128. What is the number?
  7. 7.Solve: y/9 + 4 = 17. What is y?
  8. 8.Solve: p/4 + 9 = 13. What is p?
  9. 9.Solve: 2(p + 1) = 6. What is p?
  10. 10.Aditya is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  11. 11.Tara thinks of a number, multiplies it by 9 and then adds 24. The result is 105. What is the number?
  12. 12.Solve: 3p + 15 = 39. What is p?
  13. 13.Solve: 3n + 20 = 35. What is n?
  14. 14.Solve: p/5 + 10 = 17. What is p?
  15. 15.Ishaan thinks of a number, multiplies it by 8 and then adds 1. The result is 65. What is the number?
  16. 16.Karan thinks of a number, multiplies it by 9 and then adds 4. The result is 103. What is the number?
  17. 17.Solve: 9y − 88 = 20. What is y?
  18. 18.Ananya is 7 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  19. 19.Solve: 8y + 5 = 77. What is y?
  20. 20.Solve: p/2 + 19 = 27. What is p?
  21. 21.Rohan’s mother is twice as old as Rohan. Their ages add up to 12 years. How old is Rohan?
  22. 22.Solve: 4y − 20 = 24. What is y?
  23. 23.Solve: 3n − 11 = 10. What is n?
  24. 24.Solve: 2(n + 9) = 22. What is n?
  25. 25.Solve: 7t + 29 = 71. What is t?
  26. 26.Ananya is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  27. 27.Solve: y/2 + 4 = 13. What is y?
  28. 28.Solve: 9n − 100 = 17. What is n?
  29. 29.Solve: 3(m + 6) = 42. What is m?
  30. 30.Solve: 3(y + 5) = 27. What is y?
  31. 31.Ishaan is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  32. 32.Manav is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  33. 33.Solve: 2t − 19 = 1. What is t?
  34. 34.Solve: t/7 + 13 = 27. What is t?
  35. 35.Solve: p/4 + 12 = 20. What is p?
  36. 36.Solve: 5n − 60 = 5. What is n?
  37. 37.Joseph thinks of a number, multiplies it by 4 and then adds 8. The result is 16. What is the number?
  38. 38.Meera thinks of a number, multiplies it by 9 and then adds 26. The result is 44. What is the number?
  39. 39.Solve: m/4 + 6 = 7. What is m?
  40. 40.Solve: 6t − 6 = 48. What is t?

Answer key

  1. 4
  2. 12
  3. 4
  4. 8
  5. 1
  6. 14
  7. 117
  8. 16
  9. 2
  10. 6
  11. 9
  12. 8
  13. 5
  14. 35
  15. 8
  16. 11
  17. 12
  18. 8
  19. 9
  20. 16
  21. 4
  22. 11
  23. 7
  24. 2
  25. 6
  26. 12
  27. 18
  28. 13
  29. 8
  30. 4
  31. 10
  32. 10
  33. 10
  34. 98
  35. 32
  36. 13
  37. 2
  38. 2
  39. 4
  40. 9

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