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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 93 · 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.Gurpreet thinks of a number, multiplies it by 3 and then adds 4. The result is 13. What is the number?
  2. 2.Priya’s mother is twice as old as Priya. Their ages add up to 12 years. How old is Priya?
  3. 3.Solve: x/9 + 6 = 20. What is x?
  4. 4.Aarav is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  5. 5.Solve: 8y + 4 = 100. What is y?
  6. 6.Solve: 4t + 16 = 56. What is t?
  7. 7.Farhan thinks of a number, multiplies it by 7 and then adds 23. The result is 114. What is the number?
  8. 8.Rohan is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  9. 9.Kabir’s mother is three times as old as Kabir. Their ages add up to 36 years. How old is Kabir?
  10. 10.Solve: 4x + 30 = 78. What is x?
  11. 11.Solve: 7x − 19 = 30. What is x?
  12. 12.Solve: 7(p + 4) = 119. What is p?
  13. 13.Arjun thinks of a number, multiplies it by 4 and then adds 26. The result is 46. What is the number?
  14. 14.Solve: y/3 + 6 = 21. What is y?
  15. 15.Solve: n/7 + 2 = 9. What is n?
  16. 16.Solve: 9n + 15 = 42. What is n?
  17. 17.Solve: 7p − 59 = 18. What is p?
  18. 18.Aarav thinks of a number, multiplies it by 9 and then adds 3. The result is 48. What is the number?
  19. 19.Riya is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  20. 20.Solve: x/5 + 16 = 31. What is x?
  21. 21.Solve: 8(y + 7) = 80. What is y?
  22. 22.Solve: 5y − 23 = 32. What is y?
  23. 23.Solve: 5m − 17 = 8. What is m?
  24. 24.Solve: 7(p + 5) = 42. What is p?
  25. 25.Solve: p/6 + 12 = 14. What is p?
  26. 26.Manav’s mother is twice as old as Manav. Their ages add up to 24 years. How old is Manav?
  27. 27.Solve: 5x + 12 = 72. What is x?
  28. 28.Solve: 7p + 15 = 92. What is p?
  29. 29.Solve: 3t + 12 = 48. What is t?
  30. 30.Rohan is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  31. 31.Vivaan is 5 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  32. 32.Solve: t/8 + 13 = 26. What is t?
  33. 33.Solve: 8(x + 6) = 112. What is x?
  34. 34.Solve: t/5 + 2 = 13. What is t?
  35. 35.Rahul thinks of a number, multiplies it by 2 and then adds 13. The result is 39. What is the number?
  36. 36.Solve: 6(n + 4) = 72. What is n?
  37. 37.Solve: 8n + 8 = 88. What is n?
  38. 38.Ananya’s mother is twice as old as Ananya. Their ages add up to 45 years. How old is Ananya?
  39. 39.Solve: 9p − 1 = 8. What is p?
  40. 40.Solve: 7(m + 9) = 84. What is m?

Answer key

  1. 3
  2. 4
  3. 126
  4. 7
  5. 12
  6. 10
  7. 13
  8. 8
  9. 9
  10. 12
  11. 7
  12. 13
  13. 5
  14. 45
  15. 49
  16. 3
  17. 11
  18. 5
  19. 6
  20. 75
  21. 3
  22. 11
  23. 5
  24. 1
  25. 12
  26. 8
  27. 12
  28. 11
  29. 12
  30. 12
  31. 9
  32. 104
  33. 8
  34. 55
  35. 13
  36. 8
  37. 10
  38. 15
  39. 1
  40. 3

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