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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 615 · 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: x/7 + 19 = 24. What is x?
  2. 2.Dev thinks of a number, multiplies it by 3 and then adds 17. The result is 23. What is the number?
  3. 3.Ananya’s mother is four times as old as Ananya. Their ages add up to 55 years. How old is Ananya?
  4. 4.Saanvi thinks of a number, multiplies it by 5 and then adds 26. The result is 51. What is the number?
  5. 5.Zoya is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  6. 6.Solve: 5m − 45 = 15. What is m?
  7. 7.Solve: 6t − 1 = 17. What is t?
  8. 8.Saanvi is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  9. 9.Solve: 3(m + 7) = 51. What is m?
  10. 10.Solve: p/4 + 7 = 9. What is p?
  11. 11.Sneha thinks of a number, multiplies it by 5 and then adds 3. The result is 63. What is the number?
  12. 12.Solve: 6(y + 8) = 60. What is y?
  13. 13.Kabir’s mother is twice as old as Kabir. Their ages add up to 45 years. How old is Kabir?
  14. 14.Solve: 8(n + 2) = 72. What is n?
  15. 15.Solve: 3n − 16 = 5. What is n?
  16. 16.Solve: 8x + 5 = 53. What is x?
  17. 17.Solve: 8x + 26 = 42. What is x?
  18. 18.Solve: 4(t + 9) = 76. What is t?
  19. 19.Solve: 5p + 15 = 75. What is p?
  20. 20.Solve: 4(p + 5) = 56. What is p?
  21. 21.Solve: 5(y + 4) = 30. What is y?
  22. 22.Solve: 9x − 66 = 33. What is x?
  23. 23.Solve: y/2 + 19 = 34. What is y?
  24. 24.Solve: 7n − 23 = 5. What is n?
  25. 25.Solve: x/4 + 11 = 20. What is x?
  26. 26.Solve: 2t + 18 = 22. What is t?
  27. 27.Gurpreet thinks of a number, multiplies it by 2 and then adds 23. The result is 51. What is the number?
  28. 28.Solve: 3(n + 9) = 45. What is n?
  29. 29.Solve: 3m + 4 = 22. What is m?
  30. 30.Aarav thinks of a number, multiplies it by 9 and then adds 1. The result is 118. What is the number?
  31. 31.Kabir’s mother is three times as old as Kabir. Their ages add up to 44 years. How old is Kabir?
  32. 32.Solve: 2y + 19 = 41. What is y?
  33. 33.Vivaan is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  34. 34.Solve: 7(y + 9) = 91. What is y?
  35. 35.Solve: 4(t + 8) = 68. What is t?
  36. 36.Pooja thinks of a number, multiplies it by 2 and then adds 20. The result is 36. What is the number?
  37. 37.Arjun’s mother is four times as old as Arjun. Their ages add up to 20 years. How old is Arjun?
  38. 38.Solve: t/5 + 7 = 9. What is t?
  39. 39.Solve: n/4 + 18 = 33. What is n?
  40. 40.Solve: 4y − 28 = 24. What is y?

Answer key

  1. 35
  2. 2
  3. 11
  4. 5
  5. 8
  6. 12
  7. 3
  8. 4
  9. 10
  10. 8
  11. 12
  12. 2
  13. 15
  14. 7
  15. 7
  16. 6
  17. 2
  18. 10
  19. 12
  20. 9
  21. 2
  22. 11
  23. 30
  24. 4
  25. 36
  26. 2
  27. 14
  28. 6
  29. 6
  30. 13
  31. 11
  32. 11
  33. 12
  34. 4
  35. 9
  36. 8
  37. 4
  38. 10
  39. 60
  40. 13

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