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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 58 · 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: 9t − 23 = 67. What is t?
  2. 2.Sneha is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  3. 3.Solve: 3(p + 2) = 36. What is p?
  4. 4.Solve: 3m + 14 = 59. What is m?
  5. 5.Ananya’s mother is three times as old as Ananya. Their ages add up to 60 years. How old is Ananya?
  6. 6.Solve: t/2 + 5 = 7. What is t?
  7. 7.Nisha is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  8. 8.Solve: 9m + 3 = 39. What is m?
  9. 9.Solve: 4y − 9 = 3. What is y?
  10. 10.Solve: 8m + 10 = 42. What is m?
  11. 11.Vivaan thinks of a number, multiplies it by 4 and then adds 21. The result is 25. What is the number?
  12. 12.Ananya is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  13. 13.Solve: 6x − 17 = 25. What is x?
  14. 14.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 42 years. How old is Gurpreet?
  15. 15.Solve: 3(n + 1) = 36. What is n?
  16. 16.Sneha thinks of a number, multiplies it by 2 and then adds 14. The result is 38. What is the number?
  17. 17.Solve: y/7 + 18 = 27. What is y?
  18. 18.Farhan is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  19. 19.Solve: 4(x + 2) = 48. What is x?
  20. 20.Solve: 9(m + 5) = 90. What is m?
  21. 21.Solve: 5x − 6 = 4. What is x?
  22. 22.Solve: 5y + 28 = 68. What is y?
  23. 23.Solve: 9(y + 9) = 153. What is y?
  24. 24.Solve: 2(y + 3) = 20. What is y?
  25. 25.Solve: 2y − 15 = 5. What is y?
  26. 26.Solve: 2(x + 8) = 30. What is x?
  27. 27.Solve: p/3 + 18 = 31. What is p?
  28. 28.Gurpreet’s mother is three times as old as Gurpreet. Their ages add up to 40 years. How old is Gurpreet?
  29. 29.Solve: 3(x + 5) = 42. What is x?
  30. 30.Solve: p/9 + 8 = 15. What is p?
  31. 31.Solve: 7x − 18 = 38. What is x?
  32. 32.Zoya is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  33. 33.Solve: 5m + 3 = 43. What is m?
  34. 34.Tara is 5 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  35. 35.Solve: y/7 + 15 = 17. What is y?
  36. 36.Meera thinks of a number, multiplies it by 3 and then adds 30. The result is 63. What is the number?
  37. 37.Dev thinks of a number, multiplies it by 5 and then adds 29. The result is 94. What is the number?
  38. 38.Rahul’s mother is four times as old as Rahul. Their ages add up to 20 years. How old is Rahul?
  39. 39.Aarav thinks of a number, multiplies it by 7 and then adds 2. The result is 16. What is the number?
  40. 40.Solve: 7n + 23 = 58. What is n?

Answer key

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

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