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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 530 · 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: p/7 + 10 = 18. What is p?
  2. 2.Solve: n/9 + 17 = 24. What is n?
  3. 3.Manav’s mother is twice as old as Manav. Their ages add up to 12 years. How old is Manav?
  4. 4.Solve: m/5 + 9 = 16. What is m?
  5. 5.Solve: p/2 + 15 = 18. What is p?
  6. 6.Solve: p/4 + 14 = 23. What is p?
  7. 7.Solve: 5(y + 1) = 80. What is y?
  8. 8.Solve: 8m − 7 = 17. What is m?
  9. 9.Solve: 3t − 2 = 7. What is t?
  10. 10.Farhan thinks of a number, multiplies it by 4 and then adds 1. The result is 45. What is the number?
  11. 11.Solve: 2n + 28 = 56. What is n?
  12. 12.Diya is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  13. 13.Meera thinks of a number, multiplies it by 4 and then adds 11. The result is 51. What is the number?
  14. 14.Karan’s mother is twice as old as Karan. Their ages add up to 36 years. How old is Karan?
  15. 15.Solve: 4n + 15 = 71. What is n?
  16. 16.Solve: 3x + 4 = 40. What is x?
  17. 17.Solve: 8y + 3 = 99. What is y?
  18. 18.Solve: 6x + 22 = 64. What is x?
  19. 19.Solve: 7(p + 2) = 119. What is p?
  20. 20.Solve: 2(m + 2) = 22. What is m?
  21. 21.Diya is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  22. 22.Arjun is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  23. 23.Solve: 4y − 24 = 32. What is y?
  24. 24.Solve: 4y − 11 = 17. What is y?
  25. 25.Solve: 2(m + 3) = 16. What is m?
  26. 26.Solve: 7(y + 7) = 140. What is y?
  27. 27.Meera is 8 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  28. 28.Solve: 7m − 22 = 13. What is m?
  29. 29.Solve: 2y + 15 = 29. What is y?
  30. 30.Isha is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  31. 31.Solve: 9m + 29 = 164. What is m?
  32. 32.Arjun’s mother is twice as old as Arjun. Their ages add up to 30 years. How old is Arjun?
  33. 33.Riya’s mother is four times as old as Riya. Their ages add up to 50 years. How old is Riya?
  34. 34.Diya thinks of a number, multiplies it by 4 and then adds 16. The result is 48. What is the number?
  35. 35.Solve: 4(t + 9) = 40. What is t?
  36. 36.Solve: 4p + 29 = 45. What is p?
  37. 37.Isha thinks of a number, multiplies it by 5 and then adds 5. The result is 15. What is the number?
  38. 38.Solve: t/3 + 14 = 19. What is t?
  39. 39.Solve: 5t + 21 = 36. What is t?
  40. 40.Solve: t/8 + 18 = 23. What is t?

Answer key

  1. 56
  2. 63
  3. 4
  4. 35
  5. 6
  6. 36
  7. 15
  8. 3
  9. 3
  10. 11
  11. 14
  12. 4
  13. 10
  14. 12
  15. 14
  16. 12
  17. 12
  18. 7
  19. 15
  20. 9
  21. 5
  22. 11
  23. 14
  24. 7
  25. 5
  26. 13
  27. 9
  28. 5
  29. 7
  30. 4
  31. 15
  32. 10
  33. 10
  34. 8
  35. 1
  36. 4
  37. 2
  38. 15
  39. 3
  40. 40

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