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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 949 · 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.Manav thinks of a number, multiplies it by 7 and then adds 7. The result is 105. What is the number?
  2. 2.Solve: x/6 + 20 = 35. What is x?
  3. 3.Solve: 2t − 5 = 11. What is t?
  4. 4.Solve: 7t − 1 = 6. What is t?
  5. 5.Solve: 3t + 9 = 54. What is t?
  6. 6.Solve: 3n − 1 = 41. What is n?
  7. 7.Solve: p/9 + 5 = 19. What is p?
  8. 8.Ananya’s mother is three times as old as Ananya. Their ages add up to 56 years. How old is Ananya?
  9. 9.Solve: t/6 + 11 = 24. What is t?
  10. 10.Solve: t/5 + 4 = 14. What is t?
  11. 11.Solve: 8n + 28 = 84. What is n?
  12. 12.Solve: 8x + 8 = 16. What is x?
  13. 13.Zoya is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  14. 14.Solve: 2m − 16 = 2. What is m?
  15. 15.Solve: 2(m + 1) = 20. What is m?
  16. 16.Zoya’s mother is four times as old as Zoya. Their ages add up to 30 years. How old is Zoya?
  17. 17.Rohan thinks of a number, multiplies it by 2 and then adds 5. The result is 29. What is the number?
  18. 18.Solve: 6y + 11 = 29. What is y?
  19. 19.Priya is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  20. 20.Solve: 6t − 19 = 5. What is t?
  21. 21.Isha is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  22. 22.Solve: 2(p + 5) = 34. What is p?
  23. 23.Gurpreet is 8 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  24. 24.Solve: 2n + 7 = 11. What is n?
  25. 25.Solve: m/4 + 7 = 21. What is m?
  26. 26.Rahul thinks of a number, multiplies it by 4 and then adds 15. The result is 75. What is the number?
  27. 27.Solve: n/4 + 19 = 31. What is n?
  28. 28.Rahul is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  29. 29.Ishaan’s mother is three times as old as Ishaan. Their ages add up to 44 years. How old is Ishaan?
  30. 30.Solve: 6(m + 5) = 54. What is m?
  31. 31.Solve: x/8 + 19 = 26. What is x?
  32. 32.Solve: 6p − 29 = 1. What is p?
  33. 33.Rohan thinks of a number, multiplies it by 4 and then adds 7. The result is 23. What is the number?
  34. 34.Solve: 6t − 13 = 77. What is t?
  35. 35.Saanvi thinks of a number, multiplies it by 9 and then adds 29. The result is 110. What is the number?
  36. 36.Solve: 5(x + 4) = 95. What is x?
  37. 37.Solve: 2p − 12 = 2. What is p?
  38. 38.Solve: x/6 + 13 = 21. What is x?
  39. 39.Sneha is 3 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  40. 40.Saanvi thinks of a number, multiplies it by 2 and then adds 6. The result is 14. What is the number?

Answer key

  1. 14
  2. 90
  3. 8
  4. 1
  5. 15
  6. 14
  7. 126
  8. 14
  9. 78
  10. 50
  11. 7
  12. 1
  13. 7
  14. 9
  15. 9
  16. 6
  17. 12
  18. 3
  19. 6
  20. 4
  21. 12
  22. 12
  23. 12
  24. 2
  25. 56
  26. 15
  27. 48
  28. 4
  29. 11
  30. 4
  31. 56
  32. 5
  33. 4
  34. 15
  35. 9
  36. 15
  37. 7
  38. 48
  39. 10
  40. 4

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