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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 137 · 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: t/2 + 11 = 22. What is t?
  2. 2.Priya thinks of a number, multiplies it by 3 and then adds 19. The result is 37. What is the number?
  3. 3.Gurpreet’s mother is four times as old as Gurpreet. Their ages add up to 40 years. How old is Gurpreet?
  4. 4.Solve: 2y − 2 = 4. What is y?
  5. 5.Solve: 4m − 44 = 16. What is m?
  6. 6.Joseph is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  7. 7.Solve: y/2 + 11 = 14. What is y?
  8. 8.Manav thinks of a number, multiplies it by 6 and then adds 24. The result is 30. What is the number?
  9. 9.Solve: 9y − 38 = 16. What is y?
  10. 10.Solve: p/4 + 11 = 19. What is p?
  11. 11.Solve: 4(x + 8) = 92. What is x?
  12. 12.Solve: t/9 + 9 = 15. What is t?
  13. 13.Solve: 6n + 11 = 17. What is n?
  14. 14.Solve: 4y + 6 = 66. What is y?
  15. 15.Solve: 3y + 15 = 18. What is y?
  16. 16.Solve: 7m + 12 = 26. What is m?
  17. 17.Ananya thinks of a number, multiplies it by 2 and then adds 4. The result is 12. What is the number?
  18. 18.Solve: x/6 + 17 = 20. What is x?
  19. 19.Manav is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  20. 20.Solve: 5x − 3 = 57. What is x?
  21. 21.Solve: 9p − 99 = 9. What is p?
  22. 22.Nisha’s mother is four times as old as Nisha. Their ages add up to 60 years. How old is Nisha?
  23. 23.Kavya thinks of a number, multiplies it by 9 and then adds 9. The result is 108. What is the number?
  24. 24.Solve: 2m + 14 = 26. What is m?
  25. 25.Solve: 4y − 40 = 4. What is y?
  26. 26.Solve: n/5 + 5 = 18. What is n?
  27. 27.Solve: 2y − 8 = 8. What is y?
  28. 28.Karan thinks of a number, multiplies it by 7 and then adds 28. The result is 98. What is the number?
  29. 29.Solve: 7(t + 6) = 105. What is t?
  30. 30.Solve: 7(n + 4) = 49. What is n?
  31. 31.Solve: 3(n + 2) = 42. What is n?
  32. 32.Solve: 2(x + 6) = 22. What is x?
  33. 33.Solve: 9p − 10 = 44. What is p?
  34. 34.Solve: 4(y + 8) = 92. What is y?
  35. 35.Solve: 3m − 3 = 9. What is m?
  36. 36.Solve: 3n − 2 = 25. What is n?
  37. 37.Solve: 3n − 6 = 9. What is n?
  38. 38.Solve: y/4 + 19 = 25. What is y?
  39. 39.Solve: m/9 + 16 = 31. What is m?
  40. 40.Solve: 3y − 2 = 16. What is y?

Answer key

  1. 22
  2. 6
  3. 8
  4. 3
  5. 15
  6. 12
  7. 6
  8. 1
  9. 6
  10. 32
  11. 15
  12. 54
  13. 1
  14. 15
  15. 1
  16. 2
  17. 4
  18. 18
  19. 11
  20. 12
  21. 12
  22. 12
  23. 11
  24. 6
  25. 11
  26. 65
  27. 8
  28. 10
  29. 9
  30. 3
  31. 12
  32. 5
  33. 6
  34. 15
  35. 4
  36. 9
  37. 5
  38. 24
  39. 135
  40. 6

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