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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 887 · 40 sums
TalentJR

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: 2t + 18 = 44. What is t?
  2. 2.Solve: 4t − 5 = 27. What is t?
  3. 3.Solve: 2(x + 8) = 28. What is x?
  4. 4.Solve: 4(n + 1) = 8. What is n?
  5. 5.Tara thinks of a number, multiplies it by 2 and then adds 27. The result is 55. What is the number?
  6. 6.Kabir thinks of a number, multiplies it by 9 and then adds 8. The result is 26. What is the number?
  7. 7.Solve: 5y − 7 = 3. What is y?
  8. 8.Solve: 3y − 44 = 1. What is y?
  9. 9.Solve: 4x + 19 = 67. What is x?
  10. 10.Kabir is 5 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  11. 11.Solve: 2(t + 1) = 18. What is t?
  12. 12.Farhan is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  13. 13.Solve: 7(t + 9) = 98. What is t?
  14. 14.Solve: 3n + 21 = 33. What is n?
  15. 15.Solve: 2x − 1 = 5. What is x?
  16. 16.Solve: x/4 + 19 = 20. What is x?
  17. 17.Solve: 6m + 22 = 88. What is m?
  18. 18.Nisha thinks of a number, multiplies it by 8 and then adds 8. The result is 56. What is the number?
  19. 19.Vivaan thinks of a number, multiplies it by 2 and then adds 8. The result is 18. What is the number?
  20. 20.Solve: 9t + 5 = 68. What is t?
  21. 21.Solve: 2x + 29 = 39. What is x?
  22. 22.Solve: 9m + 9 = 99. What is m?
  23. 23.Solve: 7(t + 6) = 84. What is t?
  24. 24.Solve: 2y − 20 = 10. What is y?
  25. 25.Solve: m/5 + 12 = 15. What is m?
  26. 26.Joseph is 5 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  27. 27.Solve: 5(p + 4) = 60. What is p?
  28. 28.Solve: 5(p + 8) = 80. What is p?
  29. 29.Kabir’s mother is twice as old as Kabir. Their ages add up to 15 years. How old is Kabir?
  30. 30.Solve: p/4 + 10 = 19. What is p?
  31. 31.Solve: 9n + 4 = 103. What is n?
  32. 32.Solve: 2n − 11 = 15. What is n?
  33. 33.Sneha thinks of a number, multiplies it by 3 and then adds 3. The result is 39. What is the number?
  34. 34.Solve: 4(t + 9) = 48. What is t?
  35. 35.Solve: 2(n + 8) = 44. What is n?
  36. 36.Solve: 6(m + 1) = 60. What is m?
  37. 37.Solve: 8m + 12 = 36. What is m?
  38. 38.Solve: 7(x + 2) = 28. What is x?
  39. 39.Solve: 9y − 39 = 6. What is y?
  40. 40.Saanvi thinks of a number, multiplies it by 9 and then adds 1. The result is 91. What is the number?

Answer key

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

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