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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 26 · 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: 9p − 4 = 41. What is p?
  2. 2.Kavya’s mother is twice as old as Kavya. Their ages add up to 24 years. How old is Kavya?
  3. 3.Solve: 7y + 22 = 64. What is y?
  4. 4.Solve: 8x − 7 = 1. What is x?
  5. 5.Solve: m/2 + 19 = 31. What is m?
  6. 6.Arjun is 8 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  7. 7.Solve: 6(p + 5) = 48. What is p?
  8. 8.Meera’s mother is three times as old as Meera. Their ages add up to 36 years. How old is Meera?
  9. 9.Solve: 4(n + 2) = 16. What is n?
  10. 10.Solve: 3x − 1 = 2. What is x?
  11. 11.Solve: y/7 + 12 = 21. What is y?
  12. 12.Karan is 6 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  13. 13.Solve: 7n − 5 = 23. What is n?
  14. 14.Solve: x/4 + 16 = 26. What is x?
  15. 15.Solve: 7t + 1 = 36. What is t?
  16. 16.Solve: 5(x + 3) = 50. What is x?
  17. 17.Solve: 7y − 2 = 89. What is y?
  18. 18.Solve: 9(m + 4) = 45. What is m?
  19. 19.Solve: 3m + 1 = 37. What is m?
  20. 20.Solve: y/5 + 2 = 16. What is y?
  21. 21.Ananya is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  22. 22.Solve: 8(m + 1) = 64. What is m?
  23. 23.Solve: 4(y + 5) = 52. What is y?
  24. 24.Pooja thinks of a number, multiplies it by 8 and then adds 1. The result is 17. What is the number?
  25. 25.Aarav’s mother is twice as old as Aarav. Their ages add up to 36 years. How old is Aarav?
  26. 26.Solve: 7p + 14 = 105. What is p?
  27. 27.Ananya thinks of a number, multiplies it by 4 and then adds 18. The result is 50. What is the number?
  28. 28.Solve: 5p − 3 = 2. What is p?
  29. 29.Solve: 2t + 9 = 25. What is t?
  30. 30.Solve: 3(x + 1) = 24. What is x?
  31. 31.Solve: 8x − 34 = 78. What is x?
  32. 32.Priya’s mother is twice as old as Priya. Their ages add up to 30 years. How old is Priya?
  33. 33.Tara is 5 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  34. 34.Solve: x/2 + 17 = 23. What is x?
  35. 35.Solve: 9t − 48 = 15. What is t?
  36. 36.Solve: 9t − 92 = 25. What is t?
  37. 37.Dev thinks of a number, multiplies it by 3 and then adds 12. The result is 42. What is the number?
  38. 38.Solve: x/9 + 4 = 5. What is x?
  39. 39.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 45 years. How old is Ishaan?
  40. 40.Solve: 3p + 24 = 57. What is p?

Answer key

  1. 5
  2. 8
  3. 6
  4. 1
  5. 24
  6. 4
  7. 3
  8. 9
  9. 2
  10. 1
  11. 63
  12. 14
  13. 4
  14. 40
  15. 5
  16. 7
  17. 13
  18. 1
  19. 12
  20. 70
  21. 5
  22. 7
  23. 8
  24. 2
  25. 12
  26. 13
  27. 8
  28. 1
  29. 8
  30. 7
  31. 14
  32. 10
  33. 14
  34. 12
  35. 7
  36. 13
  37. 10
  38. 9
  39. 9
  40. 11

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