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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 747 · 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: 9(t + 2) = 54. What is t?
  2. 2.Solve: 2(n + 9) = 22. What is n?
  3. 3.Solve: p/8 + 14 = 24. What is p?
  4. 4.Priya is 5 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  5. 5.Solve: 5x + 25 = 85. What is x?
  6. 6.Solve: 4(x + 4) = 60. What is x?
  7. 7.Solve: 4t + 19 = 79. What is t?
  8. 8.Solve: 9m + 19 = 154. What is m?
  9. 9.Meera thinks of a number, multiplies it by 5 and then adds 13. The result is 38. What is the number?
  10. 10.Solve: 2y + 4 = 10. What is y?
  11. 11.Solve: 2(m + 4) = 24. What is m?
  12. 12.Solve: 4m − 5 = 31. What is m?
  13. 13.Solve: 5x − 20 = 5. What is x?
  14. 14.Isha’s mother is twice as old as Isha. Their ages add up to 36 years. How old is Isha?
  15. 15.Nisha’s mother is four times as old as Nisha. Their ages add up to 50 years. How old is Nisha?
  16. 16.Solve: 6n − 1 = 5. What is n?
  17. 17.Solve: 2n + 26 = 28. What is n?
  18. 18.Solve: 7(m + 5) = 140. What is m?
  19. 19.Solve: y/7 + 2 = 8. What is y?
  20. 20.Riya’s mother is four times as old as Riya. Their ages add up to 45 years. How old is Riya?
  21. 21.Joseph is 3 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  22. 22.Solve: 3(m + 4) = 27. What is m?
  23. 23.Solve: 8(p + 3) = 104. What is p?
  24. 24.Solve: 5(t + 7) = 110. What is t?
  25. 25.Solve: m/2 + 20 = 27. What is m?
  26. 26.Solve: 3m + 3 = 6. What is m?
  27. 27.Kavya thinks of a number, multiplies it by 5 and then adds 10. The result is 25. What is the number?
  28. 28.Solve: 3t + 13 = 34. What is t?
  29. 29.Rahul is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  30. 30.Lakshmi thinks of a number, multiplies it by 5 and then adds 3. The result is 8. What is the number?
  31. 31.Solve: 4t − 9 = 39. What is t?
  32. 32.Solve: 9(n + 5) = 63. What is n?
  33. 33.Solve: 3p − 32 = 4. What is p?
  34. 34.Solve: p/4 + 2 = 10. What is p?
  35. 35.Solve: 4x − 30 = 6. What is x?
  36. 36.Solve: 3m + 30 = 36. What is m?
  37. 37.Solve: 5(x + 1) = 50. What is x?
  38. 38.Solve: x/6 + 2 = 13. What is x?
  39. 39.Solve: 6t + 3 = 87. What is t?
  40. 40.Rahul thinks of a number, multiplies it by 9 and then adds 4. The result is 67. What is the number?

Answer key

  1. 4
  2. 2
  3. 80
  4. 15
  5. 12
  6. 11
  7. 15
  8. 15
  9. 5
  10. 3
  11. 8
  12. 9
  13. 5
  14. 12
  15. 10
  16. 1
  17. 1
  18. 15
  19. 42
  20. 9
  21. 10
  22. 5
  23. 10
  24. 15
  25. 14
  26. 1
  27. 3
  28. 7
  29. 6
  30. 1
  31. 12
  32. 2
  33. 12
  34. 32
  35. 9
  36. 2
  37. 9
  38. 66
  39. 14
  40. 7

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