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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 386 · 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.Farhan’s mother is twice as old as Farhan. Their ages add up to 21 years. How old is Farhan?
  2. 2.Diya thinks of a number, multiplies it by 5 and then adds 5. The result is 15. What is the number?
  3. 3.Solve: 8n − 5 = 19. What is n?
  4. 4.Gurpreet is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  5. 5.Solve: 4(m + 1) = 20. What is m?
  6. 6.Solve: m/9 + 17 = 18. What is m?
  7. 7.Solve: 2p + 14 = 32. What is p?
  8. 8.Solve: 6(m + 9) = 120. What is m?
  9. 9.Solve: t/4 + 8 = 10. What is t?
  10. 10.Solve: 6n − 62 = 16. What is n?
  11. 11.Solve: 2(x + 4) = 30. What is x?
  12. 12.Solve: 7n + 9 = 30. What is n?
  13. 13.Ananya is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  14. 14.Solve: 9(p + 1) = 144. What is p?
  15. 15.Solve: 2m − 1 = 1. What is m?
  16. 16.Solve: n/5 + 18 = 26. What is n?
  17. 17.Ananya is 1 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  18. 18.Solve: 5m + 4 = 34. What is m?
  19. 19.Aditya thinks of a number, multiplies it by 3 and then adds 12. The result is 57. What is the number?
  20. 20.Solve: x/3 + 16 = 23. What is x?
  21. 21.Joseph is 4 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  22. 22.Manav thinks of a number, multiplies it by 3 and then adds 13. The result is 34. What is the number?
  23. 23.Solve: m/8 + 19 = 32. What is m?
  24. 24.Solve: 9t − 69 = 3. What is t?
  25. 25.Isha thinks of a number, multiplies it by 9 and then adds 2. The result is 74. What is the number?
  26. 26.Ishaan thinks of a number, multiplies it by 4 and then adds 2. The result is 22. What is the number?
  27. 27.Solve: 8y − 37 = 83. What is y?
  28. 28.Rahul thinks of a number, multiplies it by 8 and then adds 19. The result is 43. What is the number?
  29. 29.Joseph is 3 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  30. 30.Solve: 4t − 41 = 11. What is t?
  31. 31.Solve: 8y + 24 = 104. What is y?
  32. 32.Solve: n/7 + 13 = 15. What is n?
  33. 33.Kabir is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  34. 34.Solve: 7y − 12 = 2. What is y?
  35. 35.Solve: 2(m + 3) = 8. What is m?
  36. 36.Solve: 2n + 21 = 37. What is n?
  37. 37.Solve: 3m + 22 = 31. What is m?
  38. 38.Kavya is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  39. 39.Ananya’s mother is twice as old as Ananya. Their ages add up to 30 years. How old is Ananya?
  40. 40.Solve: t/4 + 9 = 11. What is t?

Answer key

  1. 7
  2. 2
  3. 3
  4. 10
  5. 4
  6. 9
  7. 9
  8. 11
  9. 8
  10. 13
  11. 11
  12. 3
  13. 11
  14. 15
  15. 1
  16. 40
  17. 14
  18. 6
  19. 15
  20. 21
  21. 9
  22. 7
  23. 104
  24. 8
  25. 8
  26. 5
  27. 15
  28. 3
  29. 10
  30. 13
  31. 10
  32. 14
  33. 11
  34. 2
  35. 1
  36. 8
  37. 3
  38. 14
  39. 10
  40. 8

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