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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 674 · 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.Kabir thinks of a number, multiplies it by 7 and then adds 27. The result is 41. What is the number?
  2. 2.Rohan thinks of a number, multiplies it by 5 and then adds 30. The result is 90. What is the number?
  3. 3.Nisha thinks of a number, multiplies it by 9 and then adds 9. The result is 36. What is the number?
  4. 4.Solve: 7(t + 3) = 42. What is t?
  5. 5.Solve: 7(t + 5) = 112. What is t?
  6. 6.Solve: 5(t + 8) = 95. What is t?
  7. 7.Solve: 3(y + 4) = 33. What is y?
  8. 8.Solve: 2p − 3 = 27. What is p?
  9. 9.Solve: 8n − 9 = 55. What is n?
  10. 10.Nisha’s mother is three times as old as Nisha. Their ages add up to 48 years. How old is Nisha?
  11. 11.Solve: 2(x + 1) = 24. What is x?
  12. 12.Solve: x/6 + 10 = 16. What is x?
  13. 13.Solve: 3m + 11 = 56. What is m?
  14. 14.Solve: 2x − 8 = 16. What is x?
  15. 15.Gurpreet thinks of a number, multiplies it by 8 and then adds 30. The result is 110. What is the number?
  16. 16.Solve: 6(p + 7) = 72. What is p?
  17. 17.Solve: 4y + 5 = 25. What is y?
  18. 18.Meera thinks of a number, multiplies it by 4 and then adds 1. The result is 13. What is the number?
  19. 19.Solve: 8m + 24 = 128. What is m?
  20. 20.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 30 years. How old is Gurpreet?
  21. 21.Solve: 3m + 29 = 62. What is m?
  22. 22.Solve: 7(x + 2) = 28. What is x?
  23. 23.Kabir is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  24. 24.Rahul is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  25. 25.Solve: 3n + 8 = 20. What is n?
  26. 26.Manav thinks of a number, multiplies it by 4 and then adds 24. The result is 64. What is the number?
  27. 27.Rohan thinks of a number, multiplies it by 4 and then adds 28. The result is 56. What is the number?
  28. 28.Solve: 9(p + 1) = 126. What is p?
  29. 29.Kavya is 7 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  30. 30.Solve: 9n − 7 = 29. What is n?
  31. 31.Solve: 4(p + 3) = 44. What is p?
  32. 32.Solve: 8m − 3 = 13. What is m?
  33. 33.Solve: 2y + 19 = 37. What is y?
  34. 34.Solve: 4y − 2 = 6. What is y?
  35. 35.Solve: 4p − 6 = 14. What is p?
  36. 36.Solve: 5p − 27 = 8. What is p?
  37. 37.Solve: 8x + 19 = 43. What is x?
  38. 38.Solve: 3n − 23 = 19. What is n?
  39. 39.Solve: 4y − 33 = 19. What is y?
  40. 40.Solve: 2t − 7 = 5. What is t?

Answer key

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

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