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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 63 · 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: 6x + 29 = 53. What is x?
  2. 2.Sneha’s mother is twice as old as Sneha. Their ages add up to 15 years. How old is Sneha?
  3. 3.Solve: 7n − 34 = 15. What is n?
  4. 4.Arjun thinks of a number, multiplies it by 9 and then adds 6. The result is 15. What is the number?
  5. 5.Pooja thinks of a number, multiplies it by 7 and then adds 17. The result is 87. What is the number?
  6. 6.Ishaan is 8 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  7. 7.Solve: p/3 + 14 = 26. What is p?
  8. 8.Riya’s mother is three times as old as Riya. Their ages add up to 60 years. How old is Riya?
  9. 9.Joseph thinks of a number, multiplies it by 6 and then adds 1. The result is 91. What is the number?
  10. 10.Solve: p/8 + 2 = 5. What is p?
  11. 11.Solve: 7p + 14 = 91. What is p?
  12. 12.Saanvi thinks of a number, multiplies it by 5 and then adds 7. The result is 27. What is the number?
  13. 13.Solve: 4(m + 8) = 44. What is m?
  14. 14.Solve: 2x − 11 = 17. What is x?
  15. 15.Solve: 5p − 4 = 71. What is p?
  16. 16.Solve: 7t + 24 = 94. What is t?
  17. 17.Kavya is 5 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  18. 18.Solve: 4(y + 3) = 28. What is y?
  19. 19.Solve: 9t + 14 = 104. What is t?
  20. 20.Solve: 8n + 1 = 25. What is n?
  21. 21.Solve: y/5 + 11 = 22. What is y?
  22. 22.Kavya thinks of a number, multiplies it by 9 and then adds 22. The result is 94. What is the number?
  23. 23.Solve: 2t + 5 = 19. What is t?
  24. 24.Solve: 6(m + 6) = 114. What is m?
  25. 25.Solve: 9p − 70 = 29. What is p?
  26. 26.Solve: 4y + 7 = 43. What is y?
  27. 27.Arjun thinks of a number, multiplies it by 4 and then adds 26. The result is 54. What is the number?
  28. 28.Solve: 9t + 23 = 50. What is t?
  29. 29.Solve: 8m + 19 = 67. What is m?
  30. 30.Aarav thinks of a number, multiplies it by 6 and then adds 23. The result is 41. What is the number?
  31. 31.Solve: 7m − 7 = 7. What is m?
  32. 32.Solve: 3n + 24 = 48. What is n?
  33. 33.Vivaan thinks of a number, multiplies it by 5 and then adds 13. The result is 28. What is the number?
  34. 34.Nisha is 4 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  35. 35.Solve: y/4 + 20 = 24. What is y?
  36. 36.Solve: x/2 + 5 = 7. What is x?
  37. 37.Ananya thinks of a number, multiplies it by 3 and then adds 10. The result is 46. What is the number?
  38. 38.Meera thinks of a number, multiplies it by 6 and then adds 30. The result is 90. What is the number?
  39. 39.Solve: 4(p + 8) = 76. What is p?
  40. 40.Solve: 8y − 63 = 41. What is y?

Answer key

  1. 4
  2. 5
  3. 7
  4. 1
  5. 10
  6. 12
  7. 36
  8. 15
  9. 15
  10. 24
  11. 11
  12. 4
  13. 3
  14. 14
  15. 15
  16. 10
  17. 15
  18. 4
  19. 10
  20. 3
  21. 55
  22. 8
  23. 7
  24. 13
  25. 11
  26. 9
  27. 7
  28. 3
  29. 6
  30. 3
  31. 2
  32. 8
  33. 3
  34. 15
  35. 16
  36. 4
  37. 12
  38. 10
  39. 11
  40. 13

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