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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 855 · 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: 7m − 5 = 2. What is m?
  2. 2.Solve: 7n − 23 = 75. What is n?
  3. 3.Gurpreet is 3 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  4. 4.Solve: 3n + 4 = 19. What is n?
  5. 5.Pooja thinks of a number, multiplies it by 3 and then adds 8. The result is 53. What is the number?
  6. 6.Solve: 9n + 24 = 33. What is n?
  7. 7.Solve: 8x + 6 = 70. What is x?
  8. 8.Solve: y/8 + 17 = 20. What is y?
  9. 9.Solve: 9(y + 3) = 126. What is y?
  10. 10.Sneha thinks of a number, multiplies it by 2 and then adds 6. The result is 14. What is the number?
  11. 11.Farhan is 2 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  12. 12.Solve: 4x − 4 = 52. What is x?
  13. 13.Rahul thinks of a number, multiplies it by 9 and then adds 7. The result is 106. What is the number?
  14. 14.Solve: 4x − 6 = 22. What is x?
  15. 15.Tara’s mother is four times as old as Tara. Their ages add up to 65 years. How old is Tara?
  16. 16.Kabir thinks of a number, multiplies it by 2 and then adds 28. The result is 34. What is the number?
  17. 17.Meera thinks of a number, multiplies it by 5 and then adds 5. The result is 60. What is the number?
  18. 18.Solve: 8(x + 5) = 64. What is x?
  19. 19.Solve: n/9 + 5 = 13. What is n?
  20. 20.Solve: 9m − 10 = 62. What is m?
  21. 21.Solve: 8y + 10 = 98. What is y?
  22. 22.Solve: 2y − 16 = 2. What is y?
  23. 23.Solve: p/6 + 17 = 19. What is p?
  24. 24.Solve: 3(n + 5) = 48. What is n?
  25. 25.Meera’s mother is four times as old as Meera. Their ages add up to 50 years. How old is Meera?
  26. 26.Saanvi thinks of a number, multiplies it by 5 and then adds 21. The result is 41. What is the number?
  27. 27.Solve: 6(m + 8) = 132. What is m?
  28. 28.Solve: 5p − 41 = 19. What is p?
  29. 29.Solve: 9t + 10 = 73. What is t?
  30. 30.Manav’s mother is four times as old as Manav. Their ages add up to 55 years. How old is Manav?
  31. 31.Pooja is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  32. 32.Solve: 2(m + 2) = 34. What is m?
  33. 33.Joseph is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  34. 34.Solve: 5n − 15 = 25. What is n?
  35. 35.Solve: 6(t + 2) = 90. What is t?
  36. 36.Manav thinks of a number, multiplies it by 3 and then adds 28. The result is 70. What is the number?
  37. 37.Aarav thinks of a number, multiplies it by 3 and then adds 19. The result is 49. What is the number?
  38. 38.Tara’s mother is four times as old as Tara. Their ages add up to 25 years. How old is Tara?
  39. 39.Vivaan thinks of a number, multiplies it by 8 and then adds 4. The result is 92. What is the number?
  40. 40.Saanvi is 8 years older than a cousin. Their ages add up to 38 years. How old is the cousin?

Answer key

  1. 1
  2. 14
  3. 6
  4. 5
  5. 15
  6. 1
  7. 8
  8. 24
  9. 11
  10. 4
  11. 9
  12. 14
  13. 11
  14. 7
  15. 13
  16. 3
  17. 11
  18. 3
  19. 72
  20. 8
  21. 11
  22. 9
  23. 12
  24. 11
  25. 10
  26. 4
  27. 14
  28. 12
  29. 7
  30. 11
  31. 10
  32. 15
  33. 4
  34. 8
  35. 13
  36. 14
  37. 10
  38. 5
  39. 11
  40. 15

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