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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 194 · 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 32 years. How old is Aarav?
  2. 2.Aarav is 8 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  3. 3.Diya thinks of a number, multiplies it by 6 and then adds 6. The result is 96. What is the number?
  4. 4.Solve: t/7 + 6 = 20. What is t?
  5. 5.Solve: 9p + 7 = 16. What is p?
  6. 6.Solve: 3t + 3 = 36. What is t?
  7. 7.Diya thinks of a number, multiplies it by 5 and then adds 25. The result is 95. What is the number?
  8. 8.Farhan is 5 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  9. 9.Diya’s mother is twice as old as Diya. Their ages add up to 21 years. How old is Diya?
  10. 10.Nisha is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  11. 11.Solve: 9n + 14 = 41. What is n?
  12. 12.Solve: 3y + 13 = 28. What is y?
  13. 13.Solve: 6y − 30 = 6. What is y?
  14. 14.Solve: 6(m + 1) = 60. What is m?
  15. 15.Solve: 8(x + 8) = 168. What is x?
  16. 16.Solve: 6p + 4 = 52. What is p?
  17. 17.Solve: n/2 + 14 = 25. What is n?
  18. 18.Solve: 7n + 9 = 37. What is n?
  19. 19.Joseph is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  20. 20.Solve: 3m + 14 = 50. What is m?
  21. 21.Solve: 4(p + 8) = 92. What is p?
  22. 22.Solve: n/3 + 11 = 14. What is n?
  23. 23.Arjun’s mother is twice as old as Arjun. Their ages add up to 15 years. How old is Arjun?
  24. 24.Solve: 2p − 1 = 1. What is p?
  25. 25.Meera is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  26. 26.Saanvi thinks of a number, multiplies it by 9 and then adds 1. The result is 19. What is the number?
  27. 27.Solve: 5n + 26 = 56. What is n?
  28. 28.Farhan’s mother is twice as old as Farhan. Their ages add up to 15 years. How old is Farhan?
  29. 29.Solve: x/5 + 1 = 12. What is x?
  30. 30.Solve: 2m − 1 = 1. What is m?
  31. 31.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 15 years. How old is Ishaan?
  32. 32.Nisha thinks of a number, multiplies it by 9 and then adds 25. The result is 115. What is the number?
  33. 33.Solve: t/4 + 15 = 25. What is t?
  34. 34.Rohan thinks of a number, multiplies it by 2 and then adds 29. The result is 37. What is the number?
  35. 35.Solve: 7(p + 3) = 70. What is p?
  36. 36.Solve: 2(x + 1) = 32. What is x?
  37. 37.Solve: n/7 + 7 = 20. What is n?
  38. 38.Solve: 9t − 43 = 38. What is t?
  39. 39.Solve: y/6 + 6 = 13. What is y?
  40. 40.Solve: 5m − 12 = 48. What is m?

Answer key

  1. 8
  2. 4
  3. 15
  4. 98
  5. 1
  6. 11
  7. 14
  8. 13
  9. 7
  10. 6
  11. 3
  12. 5
  13. 6
  14. 9
  15. 13
  16. 8
  17. 22
  18. 4
  19. 6
  20. 12
  21. 15
  22. 9
  23. 5
  24. 1
  25. 14
  26. 2
  27. 6
  28. 5
  29. 55
  30. 1
  31. 5
  32. 10
  33. 40
  34. 4
  35. 7
  36. 15
  37. 91
  38. 9
  39. 42
  40. 12

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