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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 618 · 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: 6(x + 4) = 54. What is x?
  2. 2.Solve: y/5 + 13 = 24. What is y?
  3. 3.Solve: 7m − 25 = 31. What is m?
  4. 4.Solve: 8(x + 3) = 104. What is x?
  5. 5.Solve: 2m − 15 = 3. What is m?
  6. 6.Zoya is 3 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  7. 7.Solve: 5(y + 9) = 65. What is y?
  8. 8.Solve: 7x + 1 = 71. What is x?
  9. 9.Rahul thinks of a number, multiplies it by 8 and then adds 3. The result is 91. What is the number?
  10. 10.Solve: 7p − 24 = 4. What is p?
  11. 11.Solve: 2y + 16 = 46. What is y?
  12. 12.Kavya thinks of a number, multiplies it by 3 and then adds 4. The result is 43. What is the number?
  13. 13.Aditya thinks of a number, multiplies it by 6 and then adds 30. The result is 54. What is the number?
  14. 14.Solve: 4p − 7 = 5. What is p?
  15. 15.Solve: t/9 + 5 = 20. What is t?
  16. 16.Solve: 8(x + 1) = 16. What is x?
  17. 17.Kavya’s mother is four times as old as Kavya. Their ages add up to 35 years. How old is Kavya?
  18. 18.Solve: 2p − 16 = 10. What is p?
  19. 19.Solve: y/5 + 10 = 17. What is y?
  20. 20.Solve: 5y − 52 = 3. What is y?
  21. 21.Joseph is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  22. 22.Solve: 9t + 30 = 165. What is t?
  23. 23.Solve: 8n + 3 = 11. What is n?
  24. 24.Solve: 6x − 3 = 33. What is x?
  25. 25.Ishaan is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
  26. 26.Solve: 9(m + 8) = 171. What is m?
  27. 27.Solve: p/4 + 8 = 15. What is p?
  28. 28.Sneha thinks of a number, multiplies it by 5 and then adds 9. The result is 39. What is the number?
  29. 29.Kabir thinks of a number, multiplies it by 9 and then adds 7. The result is 43. What is the number?
  30. 30.Sneha thinks of a number, multiplies it by 9 and then adds 10. The result is 109. What is the number?
  31. 31.Solve: 6(t + 1) = 36. What is t?
  32. 32.Vivaan is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  33. 33.Solve: 7n − 40 = 23. What is n?
  34. 34.Solve: 2p − 17 = 13. What is p?
  35. 35.Solve: 8y + 13 = 101. What is y?
  36. 36.Solve: 7t + 26 = 61. What is t?
  37. 37.Solve: n/5 + 20 = 23. What is n?
  38. 38.Solve: m/9 + 16 = 30. What is m?
  39. 39.Solve: t/2 + 4 = 6. What is t?
  40. 40.Solve: 8x + 30 = 126. What is x?

Answer key

  1. 5
  2. 55
  3. 8
  4. 10
  5. 9
  6. 7
  7. 4
  8. 10
  9. 11
  10. 4
  11. 15
  12. 13
  13. 4
  14. 3
  15. 135
  16. 1
  17. 7
  18. 13
  19. 35
  20. 11
  21. 13
  22. 15
  23. 1
  24. 6
  25. 15
  26. 11
  27. 28
  28. 6
  29. 4
  30. 11
  31. 5
  32. 5
  33. 9
  34. 15
  35. 11
  36. 5
  37. 15
  38. 126
  39. 4
  40. 12

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