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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 644 · 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.Aarav’s mother is three times as old as Aarav. Their ages add up to 56 years. How old is Aarav?
  2. 2.Solve: 2y + 17 = 47. What is y?
  3. 3.Meera thinks of a number, multiplies it by 9 and then adds 26. The result is 161. What is the number?
  4. 4.Solve: 4m + 10 = 62. What is m?
  5. 5.Solve: 8p + 21 = 37. What is p?
  6. 6.Solve: 8y − 2 = 102. What is y?
  7. 7.Rohan’s mother is four times as old as Rohan. Their ages add up to 55 years. How old is Rohan?
  8. 8.Solve: 5(y + 9) = 60. What is y?
  9. 9.Solve: 5n − 28 = 2. What is n?
  10. 10.Solve: 8(y + 7) = 144. What is y?
  11. 11.Solve: 8(m + 1) = 40. What is m?
  12. 12.Solve: 9x + 10 = 73. What is x?
  13. 13.Solve: 3t + 11 = 53. What is t?
  14. 14.Solve: 3m + 4 = 10. What is m?
  15. 15.Solve: 8p + 13 = 85. What is p?
  16. 16.Joseph is 7 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  17. 17.Diya’s mother is four times as old as Diya. Their ages add up to 70 years. How old is Diya?
  18. 18.Arjun is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  19. 19.Solve: 5x − 10 = 60. What is x?
  20. 20.Rahul thinks of a number, multiplies it by 8 and then adds 18. The result is 138. What is the number?
  21. 21.Arjun thinks of a number, multiplies it by 8 and then adds 8. The result is 64. What is the number?
  22. 22.Solve: 6(x + 5) = 42. What is x?
  23. 23.Aarav’s mother is twice as old as Aarav. Their ages add up to 18 years. How old is Aarav?
  24. 24.Solve: m/9 + 4 = 13. What is m?
  25. 25.Aarav thinks of a number, multiplies it by 5 and then adds 4. The result is 44. What is the number?
  26. 26.Solve: 7n − 95 = 10. What is n?
  27. 27.Solve: 8m + 15 = 135. What is m?
  28. 28.Solve: 2(t + 6) = 20. What is t?
  29. 29.Solve: x/8 + 5 = 19. What is x?
  30. 30.Solve: 8n + 18 = 58. What is n?
  31. 31.Ishaan’s mother is three times as old as Ishaan. Their ages add up to 44 years. How old is Ishaan?
  32. 32.Zoya thinks of a number, multiplies it by 5 and then adds 11. The result is 56. What is the number?
  33. 33.Solve: 3x − 20 = 22. What is x?
  34. 34.Solve: 7(y + 7) = 147. What is y?
  35. 35.Solve: 3(p + 6) = 30. What is p?
  36. 36.Kavya thinks of a number, multiplies it by 4 and then adds 16. The result is 44. What is the number?
  37. 37.Solve: 4y − 4 = 4. What is y?
  38. 38.Isha is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  39. 39.Vivaan thinks of a number, multiplies it by 9 and then adds 23. The result is 41. What is the number?
  40. 40.Solve: 5x − 2 = 3. What is x?

Answer key

  1. 14
  2. 15
  3. 15
  4. 13
  5. 2
  6. 13
  7. 11
  8. 3
  9. 6
  10. 11
  11. 4
  12. 7
  13. 14
  14. 2
  15. 9
  16. 9
  17. 14
  18. 8
  19. 14
  20. 15
  21. 7
  22. 2
  23. 6
  24. 81
  25. 8
  26. 15
  27. 15
  28. 4
  29. 112
  30. 5
  31. 11
  32. 9
  33. 14
  34. 14
  35. 4
  36. 7
  37. 2
  38. 4
  39. 2
  40. 1

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