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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 482 · 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.Ananya thinks of a number, multiplies it by 3 and then adds 27. The result is 69. What is the number?
  2. 2.Solve: 5t + 7 = 72. What is t?
  3. 3.Solve: 9(x + 6) = 144. What is x?
  4. 4.Solve: 9y − 7 = 128. What is y?
  5. 5.Solve: n/9 + 12 = 16. What is n?
  6. 6.Solve: t/8 + 14 = 23. What is t?
  7. 7.Solve: y/3 + 10 = 25. What is y?
  8. 8.Solve: x/7 + 12 = 16. What is x?
  9. 9.Kabir’s mother is four times as old as Kabir. Their ages add up to 70 years. How old is Kabir?
  10. 10.Solve: m/3 + 11 = 24. What is m?
  11. 11.Solve: 2p − 17 = 9. What is p?
  12. 12.Joseph thinks of a number, multiplies it by 9 and then adds 18. The result is 45. What is the number?
  13. 13.Solve: 7(n + 9) = 161. What is n?
  14. 14.Solve: y/6 + 1 = 9. What is y?
  15. 15.Solve: 2p − 13 = 15. What is p?
  16. 16.Solve: m/6 + 11 = 23. What is m?
  17. 17.Solve: 8(p + 3) = 48. What is p?
  18. 18.Solve: 2(t + 2) = 28. What is t?
  19. 19.Pooja is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  20. 20.Nisha’s mother is three times as old as Nisha. Their ages add up to 20 years. How old is Nisha?
  21. 21.Solve: 5(n + 2) = 75. What is n?
  22. 22.Solve: x/8 + 13 = 16. What is x?
  23. 23.Solve: 6y + 14 = 104. What is y?
  24. 24.Solve: t/8 + 7 = 14. What is t?
  25. 25.Solve: 9p − 2 = 25. What is p?
  26. 26.Lakshmi’s mother is twice as old as Lakshmi. Their ages add up to 42 years. How old is Lakshmi?
  27. 27.Solve: 5p − 7 = 3. What is p?
  28. 28.Riya’s mother is four times as old as Riya. Their ages add up to 75 years. How old is Riya?
  29. 29.Solve: 7x + 18 = 53. What is x?
  30. 30.Solve: t/6 + 4 = 7. What is t?
  31. 31.Solve: y/2 + 1 = 6. What is y?
  32. 32.Solve: 9(x + 3) = 45. What is x?
  33. 33.Solve: x/9 + 11 = 26. What is x?
  34. 34.Gurpreet thinks of a number, multiplies it by 4 and then adds 4. The result is 56. What is the number?
  35. 35.Solve: 7t − 4 = 94. What is t?
  36. 36.Aditya thinks of a number, multiplies it by 3 and then adds 21. The result is 48. What is the number?
  37. 37.Solve: 6(m + 6) = 114. What is m?
  38. 38.Kavya thinks of a number, multiplies it by 8 and then adds 2. The result is 42. What is the number?
  39. 39.Nisha is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  40. 40.Solve: 4x + 8 = 16. What is x?

Answer key

  1. 14
  2. 13
  3. 10
  4. 15
  5. 36
  6. 72
  7. 45
  8. 28
  9. 14
  10. 39
  11. 13
  12. 3
  13. 14
  14. 48
  15. 14
  16. 72
  17. 3
  18. 12
  19. 4
  20. 5
  21. 13
  22. 24
  23. 15
  24. 56
  25. 3
  26. 14
  27. 2
  28. 15
  29. 5
  30. 18
  31. 10
  32. 2
  33. 135
  34. 13
  35. 14
  36. 9
  37. 13
  38. 5
  39. 7
  40. 2

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