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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 668 · 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.Dev thinks of a number, multiplies it by 8 and then adds 19. The result is 75. What is the number?
  2. 2.Arjun thinks of a number, multiplies it by 8 and then adds 20. The result is 132. What is the number?
  3. 3.Diya thinks of a number, multiplies it by 7 and then adds 26. The result is 117. What is the number?
  4. 4.Lakshmi is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  5. 5.Solve: 2y − 1 = 5. What is y?
  6. 6.Nisha is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  7. 7.Solve: 2x + 13 = 15. What is x?
  8. 8.Solve: p/3 + 7 = 17. What is p?
  9. 9.Solve: 6p − 6 = 18. What is p?
  10. 10.Ananya thinks of a number, multiplies it by 8 and then adds 20. The result is 84. What is the number?
  11. 11.Solve: x/7 + 15 = 23. What is x?
  12. 12.Farhan is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  13. 13.Solve: 2p − 3 = 9. What is p?
  14. 14.Solve: m/3 + 19 = 30. What is m?
  15. 15.Solve: 2m − 3 = 21. What is m?
  16. 16.Ananya is 8 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  17. 17.Solve: 8(p + 8) = 128. What is p?
  18. 18.Riya is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  19. 19.Solve: 5n − 54 = 1. What is n?
  20. 20.Zoya thinks of a number, multiplies it by 6 and then adds 16. The result is 106. What is the number?
  21. 21.Solve: 3y − 2 = 1. What is y?
  22. 22.Rohan’s mother is twice as old as Rohan. Their ages add up to 15 years. How old is Rohan?
  23. 23.Solve: 3x + 19 = 46. What is x?
  24. 24.Solve: 9m − 43 = 20. What is m?
  25. 25.Solve: 3(t + 1) = 6. What is t?
  26. 26.Solve: n/8 + 5 = 14. What is n?
  27. 27.Solve: 7t + 12 = 40. What is t?
  28. 28.Solve: 3m + 18 = 54. What is m?
  29. 29.Solve: 5(n + 2) = 15. What is n?
  30. 30.Solve: 8m + 11 = 27. What is m?
  31. 31.Solve: p/7 + 12 = 15. What is p?
  32. 32.Solve: t/7 + 4 = 13. What is t?
  33. 33.Solve: 6t − 6 = 6. What is t?
  34. 34.Solve: 4(x + 8) = 56. What is x?
  35. 35.Solve: 6x + 21 = 105. What is x?
  36. 36.Solve: 9n − 20 = 43. What is n?
  37. 37.Solve: 3x + 5 = 8. What is x?
  38. 38.Solve: 5m − 6 = 4. What is m?
  39. 39.Vivaan is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  40. 40.Priya thinks of a number, multiplies it by 3 and then adds 2. The result is 38. What is the number?

Answer key

  1. 7
  2. 14
  3. 13
  4. 15
  5. 3
  6. 5
  7. 1
  8. 30
  9. 4
  10. 8
  11. 56
  12. 14
  13. 6
  14. 33
  15. 12
  16. 10
  17. 8
  18. 13
  19. 11
  20. 15
  21. 1
  22. 5
  23. 9
  24. 7
  25. 1
  26. 72
  27. 4
  28. 12
  29. 1
  30. 2
  31. 21
  32. 63
  33. 2
  34. 6
  35. 14
  36. 7
  37. 1
  38. 2
  39. 13
  40. 12

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