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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 95 · 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.Priya’s mother is twice as old as Priya. Their ages add up to 18 years. How old is Priya?
  2. 2.Solve: 8y + 27 = 147. What is y?
  3. 3.Solve: 2y + 10 = 26. What is y?
  4. 4.Solve: 7n − 16 = 5. What is n?
  5. 5.Ananya’s mother is three times as old as Ananya. Their ages add up to 44 years. How old is Ananya?
  6. 6.Pooja thinks of a number, multiplies it by 6 and then adds 2. The result is 14. What is the number?
  7. 7.Solve: 2p − 1 = 5. What is p?
  8. 8.Diya’s mother is three times as old as Diya. Their ages add up to 56 years. How old is Diya?
  9. 9.Solve: m/3 + 20 = 23. What is m?
  10. 10.Solve: 6t + 28 = 118. What is t?
  11. 11.Pooja is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  12. 12.Solve: 2(m + 3) = 14. What is m?
  13. 13.Solve: 4m + 14 = 70. What is m?
  14. 14.Solve: 7(n + 2) = 105. What is n?
  15. 15.Gurpreet thinks of a number, multiplies it by 8 and then adds 23. The result is 143. What is the number?
  16. 16.Solve: 7m − 3 = 25. What is m?
  17. 17.Kavya is 5 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  18. 18.Ananya’s mother is twice as old as Ananya. Their ages add up to 15 years. How old is Ananya?
  19. 19.Solve: x/9 + 12 = 18. What is x?
  20. 20.Aarav thinks of a number, multiplies it by 7 and then adds 15. The result is 50. What is the number?
  21. 21.Solve: m/3 + 18 = 19. What is m?
  22. 22.Meera is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  23. 23.Solve: 8(y + 2) = 88. What is y?
  24. 24.Solve: 5p − 16 = 4. What is p?
  25. 25.Solve: 3(p + 2) = 39. What is p?
  26. 26.Ishaan thinks of a number, multiplies it by 8 and then adds 27. The result is 43. What is the number?
  27. 27.Solve: x/4 + 13 = 17. What is x?
  28. 28.Kabir thinks of a number, multiplies it by 2 and then adds 17. The result is 19. What is the number?
  29. 29.Solve: 9m − 1 = 8. What is m?
  30. 30.Solve: 3n + 3 = 21. What is n?
  31. 31.Solve: y/6 + 18 = 23. What is y?
  32. 32.Solve: 4y − 1 = 47. What is y?
  33. 33.Solve: 8n − 21 = 3. What is n?
  34. 34.Meera thinks of a number, multiplies it by 4 and then adds 9. The result is 13. What is the number?
  35. 35.Aarav is 3 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  36. 36.Solve: 7p + 2 = 51. What is p?
  37. 37.Solve: 7x + 23 = 93. What is x?
  38. 38.Solve: 9n + 5 = 23. What is n?
  39. 39.Solve: 7(m + 8) = 133. What is m?
  40. 40.Solve: 3t + 14 = 53. What is t?

Answer key

  1. 6
  2. 15
  3. 8
  4. 3
  5. 11
  6. 2
  7. 3
  8. 14
  9. 9
  10. 15
  11. 13
  12. 4
  13. 14
  14. 13
  15. 15
  16. 4
  17. 12
  18. 5
  19. 54
  20. 5
  21. 3
  22. 7
  23. 9
  24. 4
  25. 11
  26. 2
  27. 16
  28. 1
  29. 1
  30. 6
  31. 30
  32. 12
  33. 3
  34. 1
  35. 12
  36. 7
  37. 10
  38. 2
  39. 11
  40. 13

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