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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 647 · 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: 2m − 2 = 22. What is m?
  2. 2.Solve: t/4 + 15 = 19. What is t?
  3. 3.Solve: 7t − 61 = 2. What is t?
  4. 4.Solve: 7n − 3 = 39. What is n?
  5. 5.Solve: 8(m + 1) = 16. What is m?
  6. 6.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 36 years. How old is Vivaan?
  7. 7.Pooja thinks of a number, multiplies it by 7 and then adds 19. The result is 89. What is the number?
  8. 8.Solve: p/6 + 3 = 5. What is p?
  9. 9.Riya’s mother is twice as old as Riya. Their ages add up to 21 years. How old is Riya?
  10. 10.Ananya thinks of a number, multiplies it by 9 and then adds 11. The result is 20. What is the number?
  11. 11.Lakshmi thinks of a number, multiplies it by 8 and then adds 15. The result is 31. What is the number?
  12. 12.Kavya thinks of a number, multiplies it by 6 and then adds 6. The result is 96. What is the number?
  13. 13.Solve: 5y − 32 = 38. What is y?
  14. 14.Solve: 8(n + 3) = 104. What is n?
  15. 15.Solve: 4x + 27 = 47. What is x?
  16. 16.Joseph thinks of a number, multiplies it by 4 and then adds 15. The result is 35. What is the number?
  17. 17.Solve: x/6 + 3 = 6. What is x?
  18. 18.Solve: 8x − 11 = 37. What is x?
  19. 19.Ananya thinks of a number, multiplies it by 7 and then adds 20. The result is 62. What is the number?
  20. 20.Solve: 2p − 7 = 17. What is p?
  21. 21.Solve: n/7 + 2 = 14. What is n?
  22. 22.Ananya’s mother is four times as old as Ananya. Their ages add up to 50 years. How old is Ananya?
  23. 23.Solve: 3(y + 5) = 27. What is y?
  24. 24.Solve: 7p + 24 = 80. What is p?
  25. 25.Solve: 5t + 30 = 95. What is t?
  26. 26.Diya thinks of a number, multiplies it by 9 and then adds 18. The result is 54. What is the number?
  27. 27.Solve: 2n − 17 = 1. What is n?
  28. 28.Ishaan is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  29. 29.Solve: 7(x + 8) = 119. What is x?
  30. 30.Solve: m/9 + 19 = 31. What is m?
  31. 31.Solve: p/9 + 5 = 10. What is p?
  32. 32.Farhan thinks of a number, multiplies it by 6 and then adds 2. The result is 32. What is the number?
  33. 33.Solve: y/9 + 5 = 12. What is y?
  34. 34.Solve: 6t + 19 = 91. What is t?
  35. 35.Solve: y/3 + 20 = 35. What is y?
  36. 36.Solve: 2(x + 5) = 34. What is x?
  37. 37.Kavya is 6 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  38. 38.Solve: 7y − 9 = 19. What is y?
  39. 39.Meera’s mother is twice as old as Meera. Their ages add up to 24 years. How old is Meera?
  40. 40.Kavya is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?

Answer key

  1. 12
  2. 16
  3. 9
  4. 6
  5. 1
  6. 12
  7. 10
  8. 12
  9. 7
  10. 1
  11. 2
  12. 15
  13. 14
  14. 10
  15. 5
  16. 5
  17. 18
  18. 6
  19. 6
  20. 12
  21. 84
  22. 10
  23. 4
  24. 8
  25. 13
  26. 4
  27. 9
  28. 14
  29. 9
  30. 108
  31. 45
  32. 5
  33. 63
  34. 12
  35. 45
  36. 12
  37. 13
  38. 4
  39. 8
  40. 6

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