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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 604 · 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.Kavya thinks of a number, multiplies it by 4 and then adds 8. The result is 40. What is the number?
  2. 2.Ananya thinks of a number, multiplies it by 4 and then adds 9. The result is 13. What is the number?
  3. 3.Solve: y/9 + 18 = 28. What is y?
  4. 4.Ananya is 4 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  5. 5.Solve: 9t + 7 = 106. What is t?
  6. 6.Solve: 4(x + 6) = 40. What is x?
  7. 7.Farhan thinks of a number, multiplies it by 6 and then adds 1. The result is 13. What is the number?
  8. 8.Dev thinks of a number, multiplies it by 9 and then adds 28. The result is 163. What is the number?
  9. 9.Solve: 5t − 30 = 35. What is t?
  10. 10.Solve: 5m − 4 = 16. What is m?
  11. 11.Solve: 4(n + 8) = 36. What is n?
  12. 12.Solve: 9x − 14 = 13. What is x?
  13. 13.Lakshmi thinks of a number, multiplies it by 2 and then adds 8. The result is 34. What is the number?
  14. 14.Solve: p/5 + 9 = 15. What is p?
  15. 15.Dev’s mother is four times as old as Dev. Their ages add up to 70 years. How old is Dev?
  16. 16.Manav thinks of a number, multiplies it by 4 and then adds 19. The result is 63. What is the number?
  17. 17.Solve: 7n + 3 = 10. What is n?
  18. 18.Solve: t/4 + 17 = 18. What is t?
  19. 19.Solve: 3(t + 8) = 63. What is t?
  20. 20.Solve: 9(x + 5) = 153. What is x?
  21. 21.Solve: 3x − 27 = 18. What is x?
  22. 22.Solve: 8(p + 5) = 112. What is p?
  23. 23.Lakshmi thinks of a number, multiplies it by 9 and then adds 8. The result is 134. What is the number?
  24. 24.Solve: 5m − 7 = 3. What is m?
  25. 25.Solve: 6p + 3 = 15. What is p?
  26. 26.Zoya’s mother is three times as old as Zoya. Their ages add up to 52 years. How old is Zoya?
  27. 27.Solve: 4t + 14 = 26. What is t?
  28. 28.Pooja thinks of a number, multiplies it by 8 and then adds 8. The result is 112. What is the number?
  29. 29.Karan thinks of a number, multiplies it by 7 and then adds 5. The result is 103. What is the number?
  30. 30.Ananya is 8 years older than a cousin. Their ages add up to 38 years. How old is the cousin?
  31. 31.Diya’s mother is four times as old as Diya. Their ages add up to 55 years. How old is Diya?
  32. 32.Solve: 5x + 17 = 22. What is x?
  33. 33.Solve: 3p − 2 = 1. What is p?
  34. 34.Solve: 3y − 15 = 21. What is y?
  35. 35.Solve: 2y + 15 = 33. What is y?
  36. 36.Solve: 5(x + 4) = 75. What is x?
  37. 37.Solve: t/5 + 1 = 9. What is t?
  38. 38.Solve: 3n + 6 = 48. What is n?
  39. 39.Solve: x/4 + 13 = 28. What is x?
  40. 40.Isha thinks of a number, multiplies it by 3 and then adds 20. The result is 23. What is the number?

Answer key

  1. 8
  2. 1
  3. 90
  4. 13
  5. 11
  6. 4
  7. 2
  8. 15
  9. 13
  10. 4
  11. 1
  12. 3
  13. 13
  14. 30
  15. 14
  16. 11
  17. 1
  18. 4
  19. 13
  20. 12
  21. 15
  22. 9
  23. 14
  24. 2
  25. 2
  26. 13
  27. 3
  28. 13
  29. 14
  30. 15
  31. 11
  32. 1
  33. 1
  34. 12
  35. 9
  36. 11
  37. 40
  38. 14
  39. 60
  40. 1

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