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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 124 · 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: 3(n + 9) = 42. What is n?
  2. 2.Saanvi thinks of a number, multiplies it by 9 and then adds 27. The result is 45. What is the number?
  3. 3.Rohan’s mother is twice as old as Rohan. Their ages add up to 21 years. How old is Rohan?
  4. 4.Riya’s mother is three times as old as Riya. Their ages add up to 20 years. How old is Riya?
  5. 5.Solve: 2p + 2 = 10. What is p?
  6. 6.Sneha thinks of a number, multiplies it by 5 and then adds 4. The result is 44. What is the number?
  7. 7.Solve: 8m − 65 = 55. What is m?
  8. 8.Solve: 2(t + 9) = 38. What is t?
  9. 9.Rohan thinks of a number, multiplies it by 6 and then adds 16. The result is 88. What is the number?
  10. 10.Solve: 6t − 1 = 17. What is t?
  11. 11.Solve: 2(y + 3) = 34. What is y?
  12. 12.Solve: x/4 + 1 = 14. What is x?
  13. 13.Vivaan thinks of a number, multiplies it by 4 and then adds 16. The result is 40. What is the number?
  14. 14.Solve: 4m − 43 = 1. What is m?
  15. 15.Solve: p/4 + 4 = 8. What is p?
  16. 16.Solve: 9t − 115 = 20. What is t?
  17. 17.Solve: 4(n + 4) = 48. What is n?
  18. 18.Solve: 6m + 16 = 46. What is m?
  19. 19.Solve: 3p − 3 = 24. What is p?
  20. 20.Solve: 9t + 23 = 140. What is t?
  21. 21.Solve: 6t − 2 = 4. What is t?
  22. 22.Nisha is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  23. 23.Nisha thinks of a number, multiplies it by 7 and then adds 4. The result is 32. What is the number?
  24. 24.Diya thinks of a number, multiplies it by 4 and then adds 29. The result is 57. What is the number?
  25. 25.Saanvi is 3 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  26. 26.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 15 years. How old is Ishaan?
  27. 27.Solve: m/3 + 13 = 27. What is m?
  28. 28.Solve: 3(m + 2) = 21. What is m?
  29. 29.Solve: 4x − 9 = 23. What is x?
  30. 30.Solve: 2n − 8 = 4. What is n?
  31. 31.Ananya thinks of a number, multiplies it by 4 and then adds 20. The result is 80. What is the number?
  32. 32.Karan thinks of a number, multiplies it by 7 and then adds 16. The result is 37. What is the number?
  33. 33.Solve: 5(n + 9) = 120. What is n?
  34. 34.Lakshmi thinks of a number, multiplies it by 5 and then adds 28. The result is 103. What is the number?
  35. 35.Arjun thinks of a number, multiplies it by 8 and then adds 7. The result is 71. What is the number?
  36. 36.Solve: 4(x + 2) = 16. What is x?
  37. 37.Zoya is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
  38. 38.Solve: 8m − 5 = 19. What is m?
  39. 39.Kabir is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  40. 40.Solve: 3y − 6 = 30. What is y?

Answer key

  1. 5
  2. 2
  3. 7
  4. 5
  5. 4
  6. 8
  7. 15
  8. 10
  9. 12
  10. 3
  11. 14
  12. 52
  13. 6
  14. 11
  15. 16
  16. 15
  17. 8
  18. 5
  19. 9
  20. 13
  21. 1
  22. 11
  23. 4
  24. 7
  25. 6
  26. 5
  27. 42
  28. 5
  29. 8
  30. 6
  31. 15
  32. 3
  33. 15
  34. 15
  35. 8
  36. 2
  37. 15
  38. 3
  39. 6
  40. 12

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