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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 133 · 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.Aarav thinks of a number, multiplies it by 6 and then adds 16. The result is 100. What is the number?
  2. 2.Solve: 2x + 27 = 49. What is x?
  3. 3.Diya thinks of a number, multiplies it by 9 and then adds 7. The result is 16. What is the number?
  4. 4.Kabir thinks of a number, multiplies it by 3 and then adds 22. The result is 46. What is the number?
  5. 5.Riya’s mother is four times as old as Riya. Their ages add up to 55 years. How old is Riya?
  6. 6.Solve: 9(m + 2) = 90. What is m?
  7. 7.Solve: 7p + 20 = 34. What is p?
  8. 8.Solve: 7(x + 8) = 91. What is x?
  9. 9.Solve: 6x + 30 = 114. What is x?
  10. 10.Solve: 3(y + 3) = 54. What is y?
  11. 11.Solve: 9n + 29 = 56. What is n?
  12. 12.Solve: n/8 + 18 = 25. What is n?
  13. 13.Kavya is 5 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  14. 14.Solve: 2x − 1 = 3. What is x?
  15. 15.Solve: 3t + 30 = 60. What is t?
  16. 16.Ishaan is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  17. 17.Solve: 8t − 44 = 20. What is t?
  18. 18.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 65 years. How old is Vivaan?
  19. 19.Solve: 2(y + 2) = 28. What is y?
  20. 20.Solve: p/5 + 9 = 21. What is p?
  21. 21.Solve: 2x + 11 = 35. What is x?
  22. 22.Solve: t/8 + 14 = 19. What is t?
  23. 23.Solve: 6x − 33 = 27. What is x?
  24. 24.Solve: 6(n + 9) = 78. What is n?
  25. 25.Solve: x/4 + 3 = 5. What is x?
  26. 26.Solve: y/2 + 15 = 23. What is y?
  27. 27.Solve: 2(m + 1) = 24. What is m?
  28. 28.Solve: 3(y + 6) = 45. What is y?
  29. 29.Solve: 3(t + 6) = 45. What is t?
  30. 30.Aarav thinks of a number, multiplies it by 8 and then adds 9. The result is 25. What is the number?
  31. 31.Ananya is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  32. 32.Manav thinks of a number, multiplies it by 4 and then adds 28. The result is 80. What is the number?
  33. 33.Tara’s mother is twice as old as Tara. Their ages add up to 30 years. How old is Tara?
  34. 34.Solve: m/7 + 12 = 15. What is m?
  35. 35.Solve: 8y − 30 = 26. What is y?
  36. 36.Solve: 3x − 7 = 26. What is x?
  37. 37.Solve: 4(p + 4) = 36. What is p?
  38. 38.Nisha thinks of a number, multiplies it by 3 and then adds 29. The result is 62. What is the number?
  39. 39.Solve: 3t + 21 = 57. What is t?
  40. 40.Saanvi thinks of a number, multiplies it by 9 and then adds 10. The result is 28. What is the number?

Answer key

  1. 14
  2. 11
  3. 1
  4. 8
  5. 11
  6. 8
  7. 2
  8. 5
  9. 14
  10. 15
  11. 3
  12. 56
  13. 11
  14. 2
  15. 10
  16. 14
  17. 8
  18. 13
  19. 12
  20. 60
  21. 12
  22. 40
  23. 10
  24. 4
  25. 8
  26. 16
  27. 11
  28. 9
  29. 9
  30. 2
  31. 4
  32. 13
  33. 10
  34. 21
  35. 7
  36. 11
  37. 5
  38. 11
  39. 12
  40. 2

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