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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 337 · 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: 2(p + 7) = 38. What is p?
  2. 2.Dev thinks of a number, multiplies it by 3 and then adds 14. The result is 35. What is the number?
  3. 3.Solve: 6x + 11 = 95. What is x?
  4. 4.Solve: 3t − 10 = 17. What is t?
  5. 5.Solve: 4(x + 1) = 28. What is x?
  6. 6.Solve: 5y + 24 = 34. What is y?
  7. 7.Manav is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  8. 8.Solve: n/2 + 6 = 8. What is n?
  9. 9.Solve: 8y − 31 = 49. What is y?
  10. 10.Solve: 9t + 19 = 127. What is t?
  11. 11.Meera thinks of a number, multiplies it by 7 and then adds 25. The result is 53. What is the number?
  12. 12.Nisha’s mother is three times as old as Nisha. Their ages add up to 40 years. How old is Nisha?
  13. 13.Solve: 2(n + 4) = 24. What is n?
  14. 14.Solve: 8x − 74 = 6. What is x?
  15. 15.Pooja is 8 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  16. 16.Solve: 5y + 17 = 27. What is y?
  17. 17.Solve: 7m − 12 = 72. What is m?
  18. 18.Solve: 8n + 5 = 53. What is n?
  19. 19.Solve: 3p + 1 = 34. What is p?
  20. 20.Solve: m/9 + 12 = 22. What is m?
  21. 21.Solve: 4x + 7 = 15. What is x?
  22. 22.Solve: p/7 + 16 = 30. What is p?
  23. 23.Solve: 2y − 5 = 23. What is y?
  24. 24.Solve: 7(y + 9) = 112. What is y?
  25. 25.Solve: 7m − 4 = 87. What is m?
  26. 26.Solve: n/5 + 16 = 18. What is n?
  27. 27.Solve: 9y + 14 = 68. What is y?
  28. 28.Solve: 8(x + 7) = 96. What is x?
  29. 29.Solve: 6t + 21 = 105. What is t?
  30. 30.Solve: 3y − 21 = 3. What is y?
  31. 31.Tara’s mother is twice as old as Tara. Their ages add up to 39 years. How old is Tara?
  32. 32.Solve: 8p + 11 = 131. What is p?
  33. 33.Ananya thinks of a number, multiplies it by 3 and then adds 1. The result is 37. What is the number?
  34. 34.Gurpreet’s mother is four times as old as Gurpreet. Their ages add up to 40 years. How old is Gurpreet?
  35. 35.Solve: y/6 + 5 = 20. What is y?
  36. 36.Solve: 3n − 13 = 17. What is n?
  37. 37.Solve: 4(t + 3) = 64. What is t?
  38. 38.Priya’s mother is three times as old as Priya. Their ages add up to 48 years. How old is Priya?
  39. 39.Solve: 3(m + 9) = 45. What is m?
  40. 40.Solve: 8p − 22 = 50. What is p?

Answer key

  1. 12
  2. 7
  3. 14
  4. 9
  5. 6
  6. 2
  7. 8
  8. 4
  9. 10
  10. 12
  11. 4
  12. 10
  13. 8
  14. 10
  15. 9
  16. 2
  17. 12
  18. 6
  19. 11
  20. 90
  21. 2
  22. 98
  23. 14
  24. 7
  25. 13
  26. 10
  27. 6
  28. 5
  29. 14
  30. 8
  31. 13
  32. 15
  33. 12
  34. 8
  35. 90
  36. 10
  37. 13
  38. 12
  39. 6
  40. 9

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