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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 602 · 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: 7x + 7 = 21. What is x?
  2. 2.Joseph is 1 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  3. 3.Solve: 9p + 15 = 69. What is p?
  4. 4.Nisha is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  5. 5.Arjun’s mother is four times as old as Arjun. Their ages add up to 40 years. How old is Arjun?
  6. 6.Solve: 8y − 13 = 27. What is y?
  7. 7.Dev thinks of a number, multiplies it by 2 and then adds 17. The result is 37. What is the number?
  8. 8.Solve: p/5 + 7 = 10. What is p?
  9. 9.Solve: 2(p + 5) = 40. What is p?
  10. 10.Solve: 9t − 90 = 45. What is t?
  11. 11.Solve: 3x + 7 = 43. What is x?
  12. 12.Solve: 2n − 19 = 1. What is n?
  13. 13.Solve: t/6 + 5 = 19. What is t?
  14. 14.Solve: p/3 + 8 = 9. What is p?
  15. 15.Solve: 5n + 13 = 28. What is n?
  16. 16.Solve: 6t − 50 = 4. What is t?
  17. 17.Solve: 4m − 9 = 43. What is m?
  18. 18.Ananya’s mother is twice as old as Ananya. Their ages add up to 42 years. How old is Ananya?
  19. 19.Lakshmi is 2 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  20. 20.Solve: x/5 + 13 = 24. What is x?
  21. 21.Solve: x/7 + 7 = 10. What is x?
  22. 22.Diya thinks of a number, multiplies it by 3 and then adds 8. The result is 47. What is the number?
  23. 23.Riya thinks of a number, multiplies it by 7 and then adds 28. The result is 84. What is the number?
  24. 24.Solve: 9p − 5 = 13. What is p?
  25. 25.Karan thinks of a number, multiplies it by 7 and then adds 25. The result is 32. What is the number?
  26. 26.Solve: 8m + 12 = 60. What is m?
  27. 27.Solve: 7m + 3 = 94. What is m?
  28. 28.Solve: 9t + 9 = 135. What is t?
  29. 29.Solve: 3x + 30 = 51. What is x?
  30. 30.Solve: 9m − 8 = 46. What is m?
  31. 31.Solve: 9y + 16 = 142. What is y?
  32. 32.Solve: 8(x + 1) = 120. What is x?
  33. 33.Solve: y/8 + 6 = 12. What is y?
  34. 34.Solve: 8t − 9 = 7. What is t?
  35. 35.Solve: 6x − 73 = 5. What is x?
  36. 36.Solve: 4p + 27 = 83. What is p?
  37. 37.Solve: y/7 + 8 = 20. What is y?
  38. 38.Lakshmi thinks of a number, multiplies it by 3 and then adds 27. The result is 57. What is the number?
  39. 39.Solve: 6x − 8 = 22. What is x?
  40. 40.Solve: 2y − 4 = 26. What is y?

Answer key

  1. 2
  2. 14
  3. 6
  4. 4
  5. 8
  6. 5
  7. 10
  8. 15
  9. 15
  10. 15
  11. 12
  12. 10
  13. 84
  14. 3
  15. 3
  16. 9
  17. 13
  18. 14
  19. 13
  20. 55
  21. 21
  22. 13
  23. 8
  24. 2
  25. 1
  26. 6
  27. 13
  28. 14
  29. 7
  30. 6
  31. 14
  32. 14
  33. 48
  34. 2
  35. 13
  36. 14
  37. 84
  38. 10
  39. 5
  40. 15

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