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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 89 · 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/5 + 19 = 20. What is m?
  2. 2.Solve: 9x − 99 = 18. What is x?
  3. 3.Solve: x/8 + 9 = 16. What is x?
  4. 4.Solve: t/2 + 19 = 33. What is t?
  5. 5.Tara thinks of a number, multiplies it by 7 and then adds 13. The result is 118. What is the number?
  6. 6.Solve: y/2 + 16 = 24. What is y?
  7. 7.Solve: 3t − 6 = 27. What is t?
  8. 8.Diya thinks of a number, multiplies it by 8 and then adds 7. The result is 79. What is the number?
  9. 9.Lakshmi is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  10. 10.Aarav is 6 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  11. 11.Solve: 3n − 42 = 3. What is n?
  12. 12.Diya thinks of a number, multiplies it by 9 and then adds 18. The result is 117. What is the number?
  13. 13.Farhan thinks of a number, multiplies it by 2 and then adds 20. The result is 44. What is the number?
  14. 14.Solve: 2(x + 7) = 42. What is x?
  15. 15.Solve: m/3 + 9 = 11. What is m?
  16. 16.Solve: 8t + 21 = 125. What is t?
  17. 17.Solve: 3t + 30 = 54. What is t?
  18. 18.Solve: p/9 + 7 = 13. What is p?
  19. 19.Solve: t/2 + 18 = 21. What is t?
  20. 20.Solve: 9x + 3 = 12. What is x?
  21. 21.Solve: 9p − 13 = 41. What is p?
  22. 22.Solve: 7(n + 6) = 147. What is n?
  23. 23.Arjun is 5 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  24. 24.Kabir is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  25. 25.Solve: y/8 + 1 = 7. What is y?
  26. 26.Meera thinks of a number, multiplies it by 2 and then adds 3. The result is 15. What is the number?
  27. 27.Solve: m/7 + 2 = 8. What is m?
  28. 28.Saanvi is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  29. 29.Solve: 6x − 23 = 25. What is x?
  30. 30.Aarav thinks of a number, multiplies it by 3 and then adds 2. The result is 17. What is the number?
  31. 31.Solve: 5(p + 7) = 70. What is p?
  32. 32.Kabir is 7 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  33. 33.Solve: m/5 + 20 = 24. What is m?
  34. 34.Solve: 7(p + 7) = 98. What is p?
  35. 35.Solve: 7n + 30 = 72. What is n?
  36. 36.Solve: x/7 + 5 = 17. What is x?
  37. 37.Lakshmi is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  38. 38.Solve: 4(n + 1) = 32. What is n?
  39. 39.Solve: 6t + 11 = 41. What is t?
  40. 40.Solve: 5x − 4 = 21. What is x?

Answer key

  1. 5
  2. 13
  3. 56
  4. 28
  5. 15
  6. 16
  7. 11
  8. 9
  9. 13
  10. 15
  11. 15
  12. 11
  13. 12
  14. 14
  15. 6
  16. 13
  17. 8
  18. 54
  19. 6
  20. 1
  21. 6
  22. 15
  23. 15
  24. 6
  25. 48
  26. 6
  27. 42
  28. 10
  29. 8
  30. 5
  31. 7
  32. 11
  33. 20
  34. 7
  35. 6
  36. 84
  37. 4
  38. 7
  39. 5
  40. 5

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