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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 41 · 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: 4t − 27 = 33. What is t?
  2. 2.Solve: 5(p + 8) = 85. What is p?
  3. 3.Solve: 7t − 16 = 5. What is t?
  4. 4.Solve: 5p − 6 = 24. What is p?
  5. 5.Solve: x/4 + 18 = 30. What is x?
  6. 6.Solve: p/2 + 3 = 16. What is p?
  7. 7.Solve: 9(t + 2) = 54. What is t?
  8. 8.Solve: x/9 + 5 = 6. What is x?
  9. 9.Sneha thinks of a number, multiplies it by 8 and then adds 17. The result is 65. What is the number?
  10. 10.Solve: 9(n + 9) = 117. What is n?
  11. 11.Farhan is 4 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  12. 12.Solve: 8t − 5 = 27. What is t?
  13. 13.Solve: 6(n + 2) = 48. What is n?
  14. 14.Solve: n/7 + 14 = 28. What is n?
  15. 15.Solve: y/5 + 17 = 22. What is y?
  16. 16.Meera is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  17. 17.Solve: 2(y + 1) = 18. What is y?
  18. 18.Solve: 2n + 9 = 29. What is n?
  19. 19.Solve: 7(t + 8) = 98. What is t?
  20. 20.Solve: 6y − 33 = 51. What is y?
  21. 21.Solve: 8(m + 8) = 104. What is m?
  22. 22.Aarav’s mother is twice as old as Aarav. Their ages add up to 45 years. How old is Aarav?
  23. 23.Solve: 4(x + 2) = 32. What is x?
  24. 24.Solve: 2(n + 6) = 34. What is n?
  25. 25.Ananya thinks of a number, multiplies it by 4 and then adds 1. The result is 13. What is the number?
  26. 26.Solve: 8(p + 1) = 40. What is p?
  27. 27.Solve: x/3 + 6 = 14. What is x?
  28. 28.Solve: 5(p + 8) = 70. What is p?
  29. 29.Sneha’s mother is twice as old as Sneha. Their ages add up to 24 years. How old is Sneha?
  30. 30.Solve: 8n + 18 = 50. What is n?
  31. 31.Solve: 8(t + 1) = 88. What is t?
  32. 32.Solve: 2x + 12 = 24. What is x?
  33. 33.Solve: 8y + 17 = 105. What is y?
  34. 34.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 21 years. How old is Gurpreet?
  35. 35.Ananya thinks of a number, multiplies it by 3 and then adds 20. The result is 41. What is the number?
  36. 36.Karan is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  37. 37.Solve: 7p + 9 = 30. What is p?
  38. 38.Diya’s mother is twice as old as Diya. Their ages add up to 21 years. How old is Diya?
  39. 39.Meera is 6 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  40. 40.Sneha thinks of a number, multiplies it by 2 and then adds 18. The result is 34. What is the number?

Answer key

  1. 15
  2. 9
  3. 3
  4. 6
  5. 48
  6. 26
  7. 4
  8. 9
  9. 6
  10. 4
  11. 12
  12. 4
  13. 6
  14. 98
  15. 25
  16. 11
  17. 8
  18. 10
  19. 6
  20. 14
  21. 5
  22. 15
  23. 6
  24. 11
  25. 3
  26. 4
  27. 24
  28. 6
  29. 8
  30. 4
  31. 10
  32. 6
  33. 11
  34. 7
  35. 7
  36. 5
  37. 3
  38. 7
  39. 9
  40. 8

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