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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 842 · 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.Joseph thinks of a number, multiplies it by 3 and then adds 15. The result is 48. What is the number?
  2. 2.Solve: 3n + 25 = 31. What is n?
  3. 3.Tara is 8 years older than a cousin. Their ages add up to 38 years. How old is the cousin?
  4. 4.Solve: 3p − 1 = 26. What is p?
  5. 5.Solve: y/6 + 11 = 21. What is y?
  6. 6.Solve: 5(x + 2) = 20. What is x?
  7. 7.Solve: 9t + 4 = 139. What is t?
  8. 8.Solve: y/7 + 18 = 21. What is y?
  9. 9.Solve: 6n − 30 = 48. What is n?
  10. 10.Solve: t/3 + 12 = 21. What is t?
  11. 11.Solve: 6(n + 5) = 42. What is n?
  12. 12.Solve: 2(t + 7) = 42. What is t?
  13. 13.Solve: 6m + 25 = 97. What is m?
  14. 14.Solve: 3m + 22 = 55. What is m?
  15. 15.Solve: 4p − 33 = 7. What is p?
  16. 16.Solve: y/9 + 5 = 8. What is y?
  17. 17.Manav is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  18. 18.Solve: p/8 + 15 = 30. What is p?
  19. 19.Joseph thinks of a number, multiplies it by 6 and then adds 19. The result is 91. What is the number?
  20. 20.Solve: n/3 + 15 = 22. What is n?
  21. 21.Solve: 2x − 1 = 3. What is x?
  22. 22.Solve: 9m + 2 = 128. What is m?
  23. 23.Tara’s mother is four times as old as Tara. Their ages add up to 35 years. How old is Tara?
  24. 24.Solve: 6(x + 9) = 102. What is x?
  25. 25.Solve: 4(m + 2) = 16. What is m?
  26. 26.Solve: 5(p + 1) = 55. What is p?
  27. 27.Saanvi’s mother is four times as old as Saanvi. Their ages add up to 55 years. How old is Saanvi?
  28. 28.Solve: 5t − 3 = 17. What is t?
  29. 29.Solve: 8(x + 7) = 144. What is x?
  30. 30.Solve: 7(t + 7) = 119. What is t?
  31. 31.Solve: 2t − 1 = 9. What is t?
  32. 32.Solve: 2(p + 6) = 30. What is p?
  33. 33.Joseph is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  34. 34.Diya’s mother is four times as old as Diya. Their ages add up to 40 years. How old is Diya?
  35. 35.Solve: 3(n + 9) = 45. What is n?
  36. 36.Solve: 7p + 16 = 37. What is p?
  37. 37.Aarav thinks of a number, multiplies it by 9 and then adds 7. The result is 133. What is the number?
  38. 38.Solve: 9p − 2 = 16. What is p?
  39. 39.Meera is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  40. 40.Solve: 3p − 15 = 12. What is p?

Answer key

  1. 11
  2. 2
  3. 15
  4. 9
  5. 60
  6. 2
  7. 15
  8. 21
  9. 13
  10. 27
  11. 2
  12. 14
  13. 12
  14. 11
  15. 10
  16. 27
  17. 8
  18. 120
  19. 12
  20. 21
  21. 2
  22. 14
  23. 7
  24. 8
  25. 2
  26. 10
  27. 11
  28. 4
  29. 11
  30. 10
  31. 5
  32. 9
  33. 5
  34. 8
  35. 6
  36. 3
  37. 14
  38. 2
  39. 12
  40. 9

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