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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 240 · 40 sums
TalentJR

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: 2x + 12 = 16. What is x?
  2. 2.Solve: 2t − 12 = 4. What is t?
  3. 3.Zoya thinks of a number, multiplies it by 6 and then adds 16. The result is 52. What is the number?
  4. 4.Ishaan thinks of a number, multiplies it by 2 and then adds 2. The result is 16. What is the number?
  5. 5.Dev is 3 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  6. 6.Solve: 4p + 12 = 48. What is p?
  7. 7.Solve: 6(n + 6) = 108. What is n?
  8. 8.Solve: n/9 + 9 = 12. What is n?
  9. 9.Solve: 7p + 21 = 77. What is p?
  10. 10.Solve: p/6 + 18 = 28. What is p?
  11. 11.Solve: 6m − 68 = 10. What is m?
  12. 12.Solve: n/6 + 11 = 13. What is n?
  13. 13.Dev thinks of a number, multiplies it by 2 and then adds 26. The result is 36. What is the number?
  14. 14.Solve: 7(x + 2) = 70. What is x?
  15. 15.Solve: 2(x + 9) = 44. What is x?
  16. 16.Solve: 8(x + 7) = 160. What is x?
  17. 17.Solve: t/2 + 16 = 19. What is t?
  18. 18.Solve: 6n − 13 = 35. What is n?
  19. 19.Lakshmi is 7 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  20. 20.Solve: y/3 + 1 = 14. What is y?
  21. 21.Solve: m/6 + 7 = 16. What is m?
  22. 22.Solve: m/9 + 13 = 21. What is m?
  23. 23.Solve: 2y − 1 = 1. What is y?
  24. 24.Farhan is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
  25. 25.Ishaan thinks of a number, multiplies it by 4 and then adds 16. The result is 36. What is the number?
  26. 26.Solve: 2m + 26 = 30. What is m?
  27. 27.Solve: 4(m + 7) = 48. What is m?
  28. 28.Aarav’s mother is twice as old as Aarav. Their ages add up to 45 years. How old is Aarav?
  29. 29.Saanvi thinks of a number, multiplies it by 3 and then adds 9. The result is 39. What is the number?
  30. 30.Ishaan thinks of a number, multiplies it by 3 and then adds 3. The result is 48. What is the number?
  31. 31.Solve: 7(p + 2) = 49. What is p?
  32. 32.Solve: 3m − 12 = 33. What is m?
  33. 33.Pooja is 2 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  34. 34.Solve: 7n + 16 = 44. What is n?
  35. 35.Solve: y/9 + 12 = 26. What is y?
  36. 36.Solve: y/8 + 3 = 7. What is y?
  37. 37.Tara is 7 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  38. 38.Kavya thinks of a number, multiplies it by 2 and then adds 28. The result is 34. What is the number?
  39. 39.Solve: 6(y + 9) = 120. What is y?
  40. 40.Solve: 4m + 20 = 32. What is m?

Answer key

  1. 2
  2. 8
  3. 6
  4. 7
  5. 6
  6. 9
  7. 12
  8. 27
  9. 8
  10. 60
  11. 13
  12. 12
  13. 5
  14. 8
  15. 13
  16. 13
  17. 6
  18. 8
  19. 12
  20. 39
  21. 54
  22. 72
  23. 1
  24. 15
  25. 5
  26. 2
  27. 5
  28. 15
  29. 10
  30. 15
  31. 5
  32. 15
  33. 9
  34. 4
  35. 126
  36. 32
  37. 10
  38. 3
  39. 11
  40. 3

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