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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 159 · 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: 5(t + 5) = 45. What is t?
  2. 2.Aarav’s mother is twice as old as Aarav. Their ages add up to 45 years. How old is Aarav?
  3. 3.Solve: 5n − 9 = 1. What is n?
  4. 4.Solve: n/3 + 8 = 9. What is n?
  5. 5.Solve: 4(x + 8) = 40. What is x?
  6. 6.Solve: 9(p + 2) = 45. What is p?
  7. 7.Solve: 2n + 14 = 24. What is n?
  8. 8.Solve: 9m + 2 = 29. What is m?
  9. 9.Solve: 3(t + 7) = 51. What is t?
  10. 10.Solve: 7n + 28 = 35. What is n?
  11. 11.Joseph thinks of a number, multiplies it by 6 and then adds 2. The result is 20. What is the number?
  12. 12.Solve: 4m + 8 = 48. What is m?
  13. 13.Joseph thinks of a number, multiplies it by 8 and then adds 1. The result is 9. What is the number?
  14. 14.Solve: 6p + 8 = 86. What is p?
  15. 15.Arjun’s mother is four times as old as Arjun. Their ages add up to 65 years. How old is Arjun?
  16. 16.Solve: 3n + 24 = 33. What is n?
  17. 17.Solve: 4(p + 5) = 32. What is p?
  18. 18.Solve: 8m − 51 = 53. What is m?
  19. 19.Joseph thinks of a number, multiplies it by 2 and then adds 1. The result is 29. What is the number?
  20. 20.Solve: p/5 + 7 = 17. What is p?
  21. 21.Solve: 9p − 4 = 5. What is p?
  22. 22.Zoya is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  23. 23.Isha thinks of a number, multiplies it by 5 and then adds 20. The result is 45. What is the number?
  24. 24.Solve: 6p − 14 = 58. What is p?
  25. 25.Diya thinks of a number, multiplies it by 6 and then adds 5. The result is 89. What is the number?
  26. 26.Solve: 8p − 50 = 70. What is p?
  27. 27.Manav’s mother is three times as old as Manav. Their ages add up to 40 years. How old is Manav?
  28. 28.Solve: 7p − 42 = 14. What is p?
  29. 29.Solve: 5p − 15 = 40. What is p?
  30. 30.Solve: 4p − 12 = 44. What is p?
  31. 31.Solve: 9(m + 1) = 144. What is m?
  32. 32.Pooja thinks of a number, multiplies it by 2 and then adds 25. The result is 35. What is the number?
  33. 33.Solve: 2y + 14 = 28. What is y?
  34. 34.Solve: 2x + 24 = 34. What is x?
  35. 35.Solve: 8y − 26 = 6. What is y?
  36. 36.Solve: t/2 + 8 = 12. What is t?
  37. 37.Solve: 3m − 3 = 3. What is m?
  38. 38.Riya thinks of a number, multiplies it by 2 and then adds 13. The result is 43. What is the number?
  39. 39.Rohan’s mother is four times as old as Rohan. Their ages add up to 70 years. How old is Rohan?
  40. 40.Solve: 8(x + 3) = 96. What is x?

Answer key

  1. 4
  2. 15
  3. 2
  4. 3
  5. 2
  6. 3
  7. 5
  8. 3
  9. 10
  10. 1
  11. 3
  12. 10
  13. 1
  14. 13
  15. 13
  16. 3
  17. 3
  18. 13
  19. 14
  20. 50
  21. 1
  22. 4
  23. 5
  24. 12
  25. 14
  26. 15
  27. 10
  28. 8
  29. 11
  30. 14
  31. 15
  32. 5
  33. 7
  34. 5
  35. 4
  36. 8
  37. 2
  38. 15
  39. 14
  40. 9

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