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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 355 · 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: m/2 + 15 = 26. What is m?
  2. 2.Solve: 5m − 21 = 14. What is m?
  3. 3.Gurpreet is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  4. 4.Solve: 3m − 2 = 1. What is m?
  5. 5.Solve: 7(y + 6) = 133. What is y?
  6. 6.Solve: 2y − 2 = 4. What is y?
  7. 7.Kavya thinks of a number, multiplies it by 9 and then adds 9. The result is 90. What is the number?
  8. 8.Solve: p/2 + 16 = 27. What is p?
  9. 9.Zoya’s mother is three times as old as Zoya. Their ages add up to 20 years. How old is Zoya?
  10. 10.Solve: 3x − 8 = 10. What is x?
  11. 11.Solve: 7m − 34 = 36. What is m?
  12. 12.Solve: x/3 + 3 = 10. What is x?
  13. 13.Solve: 9(p + 8) = 126. What is p?
  14. 14.Solve: 8t − 18 = 6. What is t?
  15. 15.Karan is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  16. 16.Solve: t/5 + 2 = 13. What is t?
  17. 17.Solve: 3y − 18 = 12. What is y?
  18. 18.Saanvi thinks of a number, multiplies it by 7 and then adds 7. The result is 84. What is the number?
  19. 19.Solve: 3(p + 4) = 45. What is p?
  20. 20.Isha is 8 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  21. 21.Gurpreet thinks of a number, multiplies it by 2 and then adds 8. The result is 12. What is the number?
  22. 22.Solve: 5m + 28 = 88. What is m?
  23. 23.Saanvi thinks of a number, multiplies it by 7 and then adds 7. The result is 28. What is the number?
  24. 24.Solve: 4(p + 9) = 60. What is p?
  25. 25.Rohan thinks of a number, multiplies it by 3 and then adds 30. The result is 60. What is the number?
  26. 26.Solve: 7y + 10 = 59. What is y?
  27. 27.Solve: 3m + 19 = 31. What is m?
  28. 28.Solve: 2(n + 5) = 34. What is n?
  29. 29.Lakshmi is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  30. 30.Solve: p/7 + 4 = 13. What is p?
  31. 31.Solve: 8m − 14 = 10. What is m?
  32. 32.Solve: 2(n + 5) = 12. What is n?
  33. 33.Pooja thinks of a number, multiplies it by 9 and then adds 30. The result is 120. What is the number?
  34. 34.Solve: 3n − 36 = 6. What is n?
  35. 35.Solve: n/7 + 20 = 25. What is n?
  36. 36.Arjun thinks of a number, multiplies it by 3 and then adds 25. The result is 55. What is the number?
  37. 37.Solve: 8(m + 5) = 120. What is m?
  38. 38.Solve: 7t − 5 = 9. What is t?
  39. 39.Solve: n/4 + 20 = 31. What is n?
  40. 40.Solve: 2n + 21 = 27. What is n?

Answer key

  1. 22
  2. 7
  3. 7
  4. 1
  5. 13
  6. 3
  7. 9
  8. 22
  9. 5
  10. 6
  11. 10
  12. 21
  13. 6
  14. 3
  15. 6
  16. 55
  17. 10
  18. 11
  19. 11
  20. 9
  21. 2
  22. 12
  23. 3
  24. 6
  25. 10
  26. 7
  27. 4
  28. 12
  29. 4
  30. 63
  31. 3
  32. 1
  33. 10
  34. 14
  35. 35
  36. 10
  37. 10
  38. 2
  39. 44
  40. 3

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