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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 761 · 40 sums
TalentJR

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.Zoya thinks of a number, multiplies it by 8 and then adds 22. The result is 94. What is the number?
  2. 2.Solve: p/8 + 16 = 21. What is p?
  3. 3.Solve: 6t − 6 = 12. What is t?
  4. 4.Solve: 6m − 60 = 18. What is m?
  5. 5.Ishaan thinks of a number, multiplies it by 9 and then adds 26. The result is 80. What is the number?
  6. 6.Solve: 2n − 3 = 5. What is n?
  7. 7.Solve: 2(p + 5) = 38. What is p?
  8. 8.Solve: x/3 + 13 = 27. What is x?
  9. 9.Dev is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  10. 10.Sneha’s mother is four times as old as Sneha. Their ages add up to 50 years. How old is Sneha?
  11. 11.Solve: 3(p + 7) = 39. What is p?
  12. 12.Solve: 7m + 17 = 115. What is m?
  13. 13.Solve: 3p − 2 = 1. What is p?
  14. 14.Solve: 6x + 9 = 69. What is x?
  15. 15.Solve: 7x + 21 = 56. What is x?
  16. 16.Solve: 7m − 38 = 25. What is m?
  17. 17.Solve: 2(m + 2) = 10. What is m?
  18. 18.Solve: 9t − 5 = 13. What is t?
  19. 19.Solve: 3x − 2 = 43. What is x?
  20. 20.Aarav is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  21. 21.Solve: 6p − 16 = 8. What is p?
  22. 22.Solve: 7p + 12 = 89. What is p?
  23. 23.Solve: x/9 + 9 = 22. What is x?
  24. 24.Solve: 8n + 4 = 44. What is n?
  25. 25.Solve: t/5 + 1 = 15. What is t?
  26. 26.Solve: 4p + 21 = 61. What is p?
  27. 27.Solve: 4m + 3 = 7. What is m?
  28. 28.Gurpreet thinks of a number, multiplies it by 9 and then adds 17. The result is 107. What is the number?
  29. 29.Diya thinks of a number, multiplies it by 3 and then adds 23. The result is 32. What is the number?
  30. 30.Solve: t/9 + 11 = 13. What is t?
  31. 31.Zoya thinks of a number, multiplies it by 7 and then adds 18. The result is 74. What is the number?
  32. 32.Solve: t/4 + 13 = 22. What is t?
  33. 33.Solve: x/9 + 3 = 14. What is x?
  34. 34.Ananya thinks of a number, multiplies it by 9 and then adds 12. The result is 57. What is the number?
  35. 35.Ananya is 7 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  36. 36.Gurpreet thinks of a number, multiplies it by 3 and then adds 26. The result is 65. What is the number?
  37. 37.Solve: 4n − 50 = 10. What is n?
  38. 38.Solve: 9x + 20 = 155. What is x?
  39. 39.Solve: 8x + 28 = 100. What is x?
  40. 40.Solve: 4(p + 3) = 44. What is p?

Answer key

  1. 9
  2. 40
  3. 3
  4. 13
  5. 6
  6. 4
  7. 14
  8. 42
  9. 11
  10. 10
  11. 6
  12. 14
  13. 1
  14. 10
  15. 5
  16. 9
  17. 3
  18. 2
  19. 15
  20. 7
  21. 4
  22. 11
  23. 117
  24. 5
  25. 70
  26. 10
  27. 1
  28. 10
  29. 3
  30. 18
  31. 8
  32. 36
  33. 99
  34. 5
  35. 10
  36. 13
  37. 15
  38. 15
  39. 9
  40. 8

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