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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 580 · 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.Aarav thinks of a number, multiplies it by 5 and then adds 23. The result is 78. What is the number?
  2. 2.Solve: 9(n + 6) = 189. What is n?
  3. 3.Rohan is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  4. 4.Solve: m/7 + 4 = 12. What is m?
  5. 5.Saanvi thinks of a number, multiplies it by 8 and then adds 14. The result is 38. What is the number?
  6. 6.Solve: 7t − 54 = 23. What is t?
  7. 7.Aditya is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  8. 8.Gurpreet thinks of a number, multiplies it by 5 and then adds 1. The result is 36. What is the number?
  9. 9.Zoya thinks of a number, multiplies it by 6 and then adds 7. The result is 85. What is the number?
  10. 10.Solve: m/2 + 7 = 20. What is m?
  11. 11.Rahul thinks of a number, multiplies it by 5 and then adds 28. The result is 53. What is the number?
  12. 12.Ananya is 6 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  13. 13.Solve: 6x + 6 = 78. What is x?
  14. 14.Solve: t/3 + 16 = 30. What is t?
  15. 15.Solve: 3y − 10 = 32. What is y?
  16. 16.Solve: 9x + 28 = 127. What is x?
  17. 17.Solve: 5(t + 3) = 60. What is t?
  18. 18.Solve: m/8 + 2 = 5. What is m?
  19. 19.Solve: x/6 + 11 = 24. What is x?
  20. 20.Diya thinks of a number, multiplies it by 9 and then adds 13. The result is 103. What is the number?
  21. 21.Solve: 2y − 24 = 4. What is y?
  22. 22.Solve: 4m + 14 = 46. What is m?
  23. 23.Solve: 9x − 8 = 1. What is x?
  24. 24.Solve: 2p − 6 = 10. What is p?
  25. 25.Solve: 2m − 1 = 21. What is m?
  26. 26.Solve: 8(x + 3) = 40. What is x?
  27. 27.Solve: x/2 + 19 = 32. What is x?
  28. 28.Solve: 6x + 27 = 69. What is x?
  29. 29.Solve: 8n + 23 = 103. What is n?
  30. 30.Ananya’s mother is twice as old as Ananya. Their ages add up to 21 years. How old is Ananya?
  31. 31.Solve: n/5 + 8 = 18. What is n?
  32. 32.Solve: 8(n + 7) = 80. What is n?
  33. 33.Ananya is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  34. 34.Solve: 3y + 7 = 49. What is y?
  35. 35.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 36 years. How old is Vivaan?
  36. 36.Solve: 9x − 5 = 4. What is x?
  37. 37.Solve: n/5 + 11 = 14. What is n?
  38. 38.Solve: 3(m + 7) = 48. What is m?
  39. 39.Solve: 9m − 5 = 67. What is m?
  40. 40.Solve: 9n − 23 = 112. What is n?

Answer key

  1. 11
  2. 15
  3. 11
  4. 56
  5. 3
  6. 11
  7. 4
  8. 7
  9. 13
  10. 26
  11. 5
  12. 9
  13. 12
  14. 42
  15. 14
  16. 11
  17. 9
  18. 24
  19. 78
  20. 10
  21. 14
  22. 8
  23. 1
  24. 8
  25. 11
  26. 2
  27. 26
  28. 7
  29. 10
  30. 7
  31. 50
  32. 3
  33. 6
  34. 14
  35. 12
  36. 1
  37. 15
  38. 9
  39. 8
  40. 15

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