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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 373 · 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: 2p − 2 = 6. What is p?
  2. 2.Solve: m/7 + 3 = 12. What is m?
  3. 3.Farhan thinks of a number, multiplies it by 3 and then adds 9. The result is 39. What is the number?
  4. 4.Solve: 9n − 52 = 11. What is n?
  5. 5.Solve: n/5 + 6 = 21. What is n?
  6. 6.Solve: 9p − 42 = 93. What is p?
  7. 7.Riya is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  8. 8.Solve: 5n + 16 = 41. What is n?
  9. 9.Solve: 2x − 4 = 16. What is x?
  10. 10.Solve: 8(m + 6) = 136. What is m?
  11. 11.Joseph thinks of a number, multiplies it by 3 and then adds 4. The result is 43. What is the number?
  12. 12.Solve: 2x + 6 = 10. What is x?
  13. 13.Meera’s mother is twice as old as Meera. Their ages add up to 12 years. How old is Meera?
  14. 14.Solve: 2p + 7 = 21. What is p?
  15. 15.Priya thinks of a number, multiplies it by 4 and then adds 22. The result is 30. What is the number?
  16. 16.Ishaan thinks of a number, multiplies it by 2 and then adds 10. The result is 24. What is the number?
  17. 17.Solve: 5y + 21 = 36. What is y?
  18. 18.Solve: 8m − 16 = 104. What is m?
  19. 19.Solve: 9t + 13 = 31. What is t?
  20. 20.Tara thinks of a number, multiplies it by 9 and then adds 6. The result is 15. What is the number?
  21. 21.Solve: 2(n + 8) = 30. What is n?
  22. 22.Meera is 3 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  23. 23.Dev thinks of a number, multiplies it by 9 and then adds 17. The result is 62. What is the number?
  24. 24.Rahul thinks of a number, multiplies it by 7 and then adds 30. The result is 100. What is the number?
  25. 25.Solve: 6y − 11 = 25. What is y?
  26. 26.Ananya is 7 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  27. 27.Solve: 8x − 22 = 26. What is x?
  28. 28.Solve: 5(p + 6) = 105. What is p?
  29. 29.Solve: 3(m + 2) = 36. What is m?
  30. 30.Solve: 3m + 3 = 33. What is m?
  31. 31.Solve: 2n + 28 = 44. What is n?
  32. 32.Solve: 3x − 37 = 5. What is x?
  33. 33.Solve: n/5 + 4 = 6. What is n?
  34. 34.Solve: 8(n + 2) = 24. What is n?
  35. 35.Solve: t/9 + 13 = 24. What is t?
  36. 36.Solve: 3m + 2 = 14. What is m?
  37. 37.Solve: 2p − 23 = 7. What is p?
  38. 38.Kavya thinks of a number, multiplies it by 5 and then adds 1. The result is 16. What is the number?
  39. 39.Arjun thinks of a number, multiplies it by 2 and then adds 12. The result is 28. What is the number?
  40. 40.Solve: x/3 + 12 = 22. What is x?

Answer key

  1. 4
  2. 63
  3. 10
  4. 7
  5. 75
  6. 15
  7. 5
  8. 5
  9. 10
  10. 11
  11. 13
  12. 2
  13. 4
  14. 7
  15. 2
  16. 7
  17. 3
  18. 15
  19. 2
  20. 1
  21. 7
  22. 15
  23. 5
  24. 10
  25. 6
  26. 6
  27. 6
  28. 15
  29. 10
  30. 10
  31. 8
  32. 14
  33. 10
  34. 1
  35. 99
  36. 4
  37. 15
  38. 3
  39. 8
  40. 30

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