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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 831 · 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.Karan thinks of a number, multiplies it by 9 and then adds 4. The result is 121. What is the number?
  2. 2.Joseph thinks of a number, multiplies it by 8 and then adds 21. The result is 141. What is the number?
  3. 3.Solve: 8n − 39 = 49. What is n?
  4. 4.Solve: p/3 + 9 = 17. What is p?
  5. 5.Solve: 7p − 5 = 51. What is p?
  6. 6.Solve: t/4 + 16 = 21. What is t?
  7. 7.Solve: 9(x + 3) = 162. What is x?
  8. 8.Rahul is 7 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  9. 9.Tara thinks of a number, multiplies it by 8 and then adds 9. The result is 49. What is the number?
  10. 10.Solve: 7y − 90 = 15. What is y?
  11. 11.Solve: 9(y + 2) = 126. What is y?
  12. 12.Aarav thinks of a number, multiplies it by 5 and then adds 4. The result is 64. What is the number?
  13. 13.Solve: 9(m + 5) = 135. What is m?
  14. 14.Solve: m/4 + 15 = 19. What is m?
  15. 15.Solve: 5n + 1 = 6. What is n?
  16. 16.Solve: 8t + 24 = 104. What is t?
  17. 17.Farhan’s mother is four times as old as Farhan. Their ages add up to 40 years. How old is Farhan?
  18. 18.Solve: 4y − 3 = 17. What is y?
  19. 19.Solve: t/2 + 14 = 29. What is t?
  20. 20.Solve: 4y + 14 = 70. What is y?
  21. 21.Lakshmi is 6 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  22. 22.Solve: m/7 + 10 = 19. What is m?
  23. 23.Solve: 4n − 45 = 3. What is n?
  24. 24.Solve: 5t + 20 = 65. What is t?
  25. 25.Priya’s mother is twice as old as Priya. Their ages add up to 27 years. How old is Priya?
  26. 26.Solve: 7(m + 2) = 77. What is m?
  27. 27.Solve: t/2 + 1 = 8. What is t?
  28. 28.Nisha is 8 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  29. 29.Priya thinks of a number, multiplies it by 2 and then adds 6. The result is 16. What is the number?
  30. 30.Solve: 9(n + 7) = 72. What is n?
  31. 31.Solve: n/4 + 17 = 31. What is n?
  32. 32.Solve: 3t + 23 = 50. What is t?
  33. 33.Solve: 3t − 18 = 3. What is t?
  34. 34.Solve: 8n + 3 = 123. What is n?
  35. 35.Solve: t/8 + 4 = 14. What is t?
  36. 36.Solve: 2p − 2 = 2. What is p?
  37. 37.Riya is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  38. 38.Aarav thinks of a number, multiplies it by 9 and then adds 27. The result is 144. What is the number?
  39. 39.Solve: 3(y + 7) = 30. What is y?
  40. 40.Solve: 7(y + 5) = 91. What is y?

Answer key

  1. 13
  2. 15
  3. 11
  4. 24
  5. 8
  6. 20
  7. 15
  8. 8
  9. 5
  10. 15
  11. 12
  12. 12
  13. 10
  14. 16
  15. 1
  16. 10
  17. 8
  18. 5
  19. 30
  20. 14
  21. 13
  22. 63
  23. 12
  24. 9
  25. 9
  26. 9
  27. 14
  28. 5
  29. 5
  30. 1
  31. 56
  32. 9
  33. 7
  34. 15
  35. 80
  36. 2
  37. 7
  38. 13
  39. 3
  40. 8

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