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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 544 · 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: 3m − 1 = 8. What is m?
  2. 2.Solve: 4x − 35 = 9. What is x?
  3. 3.Solve: 4t + 9 = 29. What is t?
  4. 4.Solve: t/3 + 12 = 20. What is t?
  5. 5.Solve: n/4 + 4 = 8. What is n?
  6. 6.Aarav thinks of a number, multiplies it by 2 and then adds 22. The result is 36. What is the number?
  7. 7.Solve: 7(x + 6) = 105. What is x?
  8. 8.Solve: 5(y + 8) = 115. What is y?
  9. 9.Aarav’s mother is four times as old as Aarav. Their ages add up to 45 years. How old is Aarav?
  10. 10.Solve: 4t − 2 = 2. What is t?
  11. 11.Nisha’s mother is four times as old as Nisha. Their ages add up to 60 years. How old is Nisha?
  12. 12.Solve: 9t − 32 = 22. What is t?
  13. 13.Solve: 2(m + 1) = 32. What is m?
  14. 14.Solve: 8m − 7 = 9. What is m?
  15. 15.Solve: x/5 + 14 = 29. What is x?
  16. 16.Solve: t/8 + 4 = 12. What is t?
  17. 17.Solve: m/8 + 7 = 13. What is m?
  18. 18.Solve: 4(x + 2) = 12. What is x?
  19. 19.Priya thinks of a number, multiplies it by 7 and then adds 9. The result is 93. What is the number?
  20. 20.Solve: y/5 + 20 = 33. What is y?
  21. 21.Solve: 7p + 25 = 46. What is p?
  22. 22.Ishaan thinks of a number, multiplies it by 2 and then adds 23. The result is 29. What is the number?
  23. 23.Solve: 3n + 18 = 30. What is n?
  24. 24.Solve: 6(p + 5) = 36. What is p?
  25. 25.Solve: 5x + 3 = 68. What is x?
  26. 26.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 21 years. How old is Gurpreet?
  27. 27.Kavya thinks of a number, multiplies it by 8 and then adds 2. The result is 50. What is the number?
  28. 28.Gurpreet is 3 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  29. 29.Gurpreet thinks of a number, multiplies it by 4 and then adds 14. The result is 74. What is the number?
  30. 30.Solve: 7p + 9 = 86. What is p?
  31. 31.Solve: 2(m + 2) = 20. What is m?
  32. 32.Ananya thinks of a number, multiplies it by 8 and then adds 6. The result is 38. What is the number?
  33. 33.Solve: 9(y + 2) = 54. What is y?
  34. 34.Pooja is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  35. 35.Solve: 8p − 40 = 8. What is p?
  36. 36.Solve: 6(m + 9) = 78. What is m?
  37. 37.Aarav thinks of a number, multiplies it by 7 and then adds 6. The result is 83. What is the number?
  38. 38.Ananya’s mother is twice as old as Ananya. Their ages add up to 12 years. How old is Ananya?
  39. 39.Solve: 3m + 7 = 28. What is m?
  40. 40.Rahul thinks of a number, multiplies it by 7 and then adds 19. The result is 124. What is the number?

Answer key

  1. 3
  2. 11
  3. 5
  4. 24
  5. 16
  6. 7
  7. 9
  8. 15
  9. 9
  10. 1
  11. 12
  12. 6
  13. 15
  14. 2
  15. 75
  16. 64
  17. 48
  18. 1
  19. 12
  20. 65
  21. 3
  22. 3
  23. 4
  24. 1
  25. 13
  26. 7
  27. 6
  28. 6
  29. 15
  30. 11
  31. 8
  32. 4
  33. 4
  34. 7
  35. 6
  36. 4
  37. 11
  38. 4
  39. 7
  40. 15

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