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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 369 · 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: 9(p + 2) = 126. What is p?
  2. 2.Nisha is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  3. 3.Gurpreet thinks of a number, multiplies it by 8 and then adds 27. The result is 147. What is the number?
  4. 4.Solve: 6n − 12 = 6. What is n?
  5. 5.Solve: 9m + 8 = 134. What is m?
  6. 6.Solve: 7(p + 1) = 105. What is p?
  7. 7.Solve: 5(t + 3) = 25. What is t?
  8. 8.Arjun thinks of a number, multiplies it by 7 and then adds 3. The result is 66. What is the number?
  9. 9.Solve: 8n − 17 = 79. What is n?
  10. 10.Solve: 9(y + 4) = 45. What is y?
  11. 11.Solve: 6x − 14 = 28. What is x?
  12. 12.Solve: 4p − 1 = 7. What is p?
  13. 13.Arjun is 7 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  14. 14.Solve: 7x + 5 = 89. What is x?
  15. 15.Priya thinks of a number, multiplies it by 2 and then adds 17. The result is 19. What is the number?
  16. 16.Priya thinks of a number, multiplies it by 2 and then adds 25. The result is 55. What is the number?
  17. 17.Zoya thinks of a number, multiplies it by 6 and then adds 25. The result is 85. What is the number?
  18. 18.Solve: 5p + 20 = 50. What is p?
  19. 19.Solve: 8(t + 3) = 128. What is t?
  20. 20.Solve: x/6 + 20 = 30. What is x?
  21. 21.Zoya thinks of a number, multiplies it by 8 and then adds 19. The result is 51. What is the number?
  22. 22.Rahul is 3 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  23. 23.Solve: 3(m + 1) = 48. What is m?
  24. 24.Priya is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  25. 25.Solve: 3t − 2 = 1. What is t?
  26. 26.Solve: 3m + 5 = 11. What is m?
  27. 27.Ananya’s mother is four times as old as Ananya. Their ages add up to 20 years. How old is Ananya?
  28. 28.Solve: 3x + 21 = 51. What is x?
  29. 29.Solve: p/4 + 1 = 6. What is p?
  30. 30.Solve: 4y + 24 = 76. What is y?
  31. 31.Solve: p/3 + 4 = 12. What is p?
  32. 32.Solve: 3(x + 2) = 9. What is x?
  33. 33.Solve: m/8 + 8 = 14. What is m?
  34. 34.Solve: 6p − 5 = 1. What is p?
  35. 35.Solve: 9(n + 6) = 162. What is n?
  36. 36.Karan’s mother is three times as old as Karan. Their ages add up to 36 years. How old is Karan?
  37. 37.Solve: 9y + 18 = 99. What is y?
  38. 38.Kavya’s mother is four times as old as Kavya. Their ages add up to 75 years. How old is Kavya?
  39. 39.Solve: 6m + 28 = 52. What is m?
  40. 40.Solve: 9x − 23 = 31. What is x?

Answer key

  1. 12
  2. 11
  3. 15
  4. 3
  5. 14
  6. 14
  7. 2
  8. 9
  9. 12
  10. 1
  11. 7
  12. 2
  13. 9
  14. 12
  15. 1
  16. 15
  17. 10
  18. 6
  19. 13
  20. 60
  21. 4
  22. 7
  23. 15
  24. 14
  25. 1
  26. 2
  27. 4
  28. 10
  29. 20
  30. 13
  31. 24
  32. 1
  33. 48
  34. 1
  35. 12
  36. 9
  37. 9
  38. 15
  39. 4
  40. 6

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