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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 537 · 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: n/2 + 5 = 13. What is n?
  2. 2.Solve: 3(x + 2) = 24. What is x?
  3. 3.Solve: 4(x + 8) = 56. What is x?
  4. 4.Sneha thinks of a number, multiplies it by 3 and then adds 14. The result is 26. What is the number?
  5. 5.Solve: 6n − 18 = 54. What is n?
  6. 6.Solve: 4n − 1 = 7. What is n?
  7. 7.Solve: 9t − 4 = 5. What is t?
  8. 8.Solve: 5(m + 3) = 35. What is m?
  9. 9.Solve: 7p + 18 = 67. What is p?
  10. 10.Ananya’s mother is twice as old as Ananya. Their ages add up to 39 years. How old is Ananya?
  11. 11.Solve: 4y − 9 = 7. What is y?
  12. 12.Solve: p/9 + 10 = 17. What is p?
  13. 13.Solve: 8m − 14 = 34. What is m?
  14. 14.Dev’s mother is three times as old as Dev. Their ages add up to 24 years. How old is Dev?
  15. 15.Solve: 4t + 8 = 32. What is t?
  16. 16.Solve: 2x − 9 = 3. What is x?
  17. 17.Solve: 9m + 8 = 143. What is m?
  18. 18.Solve: 4x − 17 = 15. What is x?
  19. 19.Dev thinks of a number, multiplies it by 4 and then adds 5. The result is 53. What is the number?
  20. 20.Solve: 8p + 7 = 127. What is p?
  21. 21.Saanvi thinks of a number, multiplies it by 8 and then adds 1. The result is 113. What is the number?
  22. 22.Solve: p/4 + 16 = 20. What is p?
  23. 23.Solve: 9t + 21 = 30. What is t?
  24. 24.Solve: 4(m + 5) = 24. What is m?
  25. 25.Solve: 3x − 4 = 8. What is x?
  26. 26.Tara is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  27. 27.Solve: 9(n + 3) = 54. What is n?
  28. 28.Solve: t/2 + 2 = 17. What is t?
  29. 29.Aditya thinks of a number, multiplies it by 7 and then adds 30. The result is 65. What is the number?
  30. 30.Dev is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  31. 31.Sneha thinks of a number, multiplies it by 9 and then adds 23. The result is 140. What is the number?
  32. 32.Solve: y/8 + 11 = 12. What is y?
  33. 33.Solve: 6n + 1 = 91. What is n?
  34. 34.Manav thinks of a number, multiplies it by 9 and then adds 30. The result is 39. What is the number?
  35. 35.Solve: m/2 + 5 = 17. What is m?
  36. 36.Solve: 5t + 1 = 46. What is t?
  37. 37.Solve: 4(t + 6) = 76. What is t?
  38. 38.Solve: y/5 + 11 = 15. What is y?
  39. 39.Solve: p/8 + 5 = 10. What is p?
  40. 40.Solve: x/4 + 2 = 6. What is x?

Answer key

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

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