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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 469 · 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: m/8 + 16 = 17. What is m?
  2. 2.Solve: 9(t + 9) = 180. What is t?
  3. 3.Solve: p/8 + 13 = 18. What is p?
  4. 4.Solve: 3t + 3 = 36. What is t?
  5. 5.Solve: 7(y + 6) = 126. What is y?
  6. 6.Gurpreet is 3 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  7. 7.Solve: x/7 + 13 = 21. What is x?
  8. 8.Kavya thinks of a number, multiplies it by 6 and then adds 18. The result is 108. What is the number?
  9. 9.Pooja is 8 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  10. 10.Farhan thinks of a number, multiplies it by 3 and then adds 28. The result is 52. What is the number?
  11. 11.Solve: 9(p + 5) = 144. What is p?
  12. 12.Solve: 9m + 10 = 109. What is m?
  13. 13.Vivaan thinks of a number, multiplies it by 3 and then adds 21. The result is 36. What is the number?
  14. 14.Solve: 4(m + 5) = 40. What is m?
  15. 15.Riya thinks of a number, multiplies it by 5 and then adds 6. The result is 41. What is the number?
  16. 16.Solve: 2p + 18 = 24. What is p?
  17. 17.Solve: 7m − 25 = 59. What is m?
  18. 18.Nisha thinks of a number, multiplies it by 4 and then adds 24. The result is 60. What is the number?
  19. 19.Solve: p/6 + 13 = 18. What is p?
  20. 20.Arjun is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  21. 21.Solve: y/7 + 19 = 32. What is y?
  22. 22.Ishaan thinks of a number, multiplies it by 4 and then adds 20. The result is 56. What is the number?
  23. 23.Solve: 7y − 10 = 11. What is y?
  24. 24.Solve: 2m + 26 = 34. What is m?
  25. 25.Kavya is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  26. 26.Solve: y/6 + 9 = 18. What is y?
  27. 27.Sneha is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  28. 28.Solve: 6n + 7 = 19. What is n?
  29. 29.Solve: 6x + 20 = 110. What is x?
  30. 30.Solve: 2x + 16 = 44. What is x?
  31. 31.Solve: t/8 + 14 = 26. What is t?
  32. 32.Riya thinks of a number, multiplies it by 5 and then adds 5. The result is 45. What is the number?
  33. 33.Solve: 9x + 25 = 151. What is x?
  34. 34.Solve: 4x − 26 = 18. What is x?
  35. 35.Solve: n/8 + 20 = 29. What is n?
  36. 36.Solve: 4(t + 7) = 44. What is t?
  37. 37.Sneha is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  38. 38.Aarav thinks of a number, multiplies it by 8 and then adds 18. The result is 82. What is the number?
  39. 39.Solve: 5(t + 8) = 85. What is t?
  40. 40.Solve: 2p + 23 = 35. What is p?

Answer key

  1. 8
  2. 11
  3. 40
  4. 11
  5. 12
  6. 15
  7. 56
  8. 15
  9. 10
  10. 8
  11. 11
  12. 11
  13. 5
  14. 5
  15. 7
  16. 3
  17. 12
  18. 9
  19. 30
  20. 10
  21. 91
  22. 9
  23. 3
  24. 4
  25. 12
  26. 54
  27. 5
  28. 2
  29. 15
  30. 14
  31. 96
  32. 8
  33. 14
  34. 11
  35. 72
  36. 4
  37. 7
  38. 8
  39. 9
  40. 6

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