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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 846 · 40 sums
TalentJR

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: 2t − 14 = 10. What is t?
  2. 2.Solve: 6x + 19 = 61. What is x?
  3. 3.Solve: 3(p + 8) = 54. What is p?
  4. 4.Solve: 8m + 5 = 109. What is m?
  5. 5.Solve: 6m + 10 = 94. What is m?
  6. 6.Solve: 8x − 41 = 15. What is x?
  7. 7.Solve: 5(y + 7) = 100. What is y?
  8. 8.Solve: 6(p + 7) = 120. What is p?
  9. 9.Kavya’s mother is three times as old as Kavya. Their ages add up to 44 years. How old is Kavya?
  10. 10.Solve: 2m + 6 = 14. What is m?
  11. 11.Solve: 9x + 22 = 121. What is x?
  12. 12.Solve: 7(p + 3) = 126. What is p?
  13. 13.Solve: 5y + 1 = 61. What is y?
  14. 14.Pooja is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  15. 15.Pooja is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  16. 16.Lakshmi thinks of a number, multiplies it by 3 and then adds 25. The result is 28. What is the number?
  17. 17.Nisha thinks of a number, multiplies it by 8 and then adds 9. The result is 17. What is the number?
  18. 18.Solve: 2n − 15 = 13. What is n?
  19. 19.Solve: 3n + 15 = 24. What is n?
  20. 20.Solve: m/6 + 1 = 11. What is m?
  21. 21.Tara thinks of a number, multiplies it by 6 and then adds 12. The result is 24. What is the number?
  22. 22.Solve: 9p − 37 = 89. What is p?
  23. 23.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 39 years. How old is Gurpreet?
  24. 24.Solve: 7(n + 8) = 140. What is n?
  25. 25.Kavya’s mother is four times as old as Kavya. Their ages add up to 70 years. How old is Kavya?
  26. 26.Priya thinks of a number, multiplies it by 9 and then adds 2. The result is 11. What is the number?
  27. 27.Solve: 9m + 9 = 144. What is m?
  28. 28.Solve: m/9 + 16 = 20. What is m?
  29. 29.Zoya is 4 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  30. 30.Solve: p/7 + 18 = 23. What is p?
  31. 31.Solve: 5(n + 5) = 75. What is n?
  32. 32.Solve: 2t + 6 = 12. What is t?
  33. 33.Solve: 2(n + 2) = 24. What is n?
  34. 34.Solve: 4(t + 9) = 44. What is t?
  35. 35.Solve: 6n + 5 = 65. What is n?
  36. 36.Solve: 3(n + 6) = 39. What is n?
  37. 37.Solve: 6(x + 6) = 84. What is x?
  38. 38.Aditya’s mother is twice as old as Aditya. Their ages add up to 12 years. How old is Aditya?
  39. 39.Solve: 7m + 6 = 27. What is m?
  40. 40.Solve: 3n − 6 = 27. What is n?

Answer key

  1. 12
  2. 7
  3. 10
  4. 13
  5. 14
  6. 7
  7. 13
  8. 13
  9. 11
  10. 4
  11. 11
  12. 15
  13. 12
  14. 14
  15. 8
  16. 1
  17. 1
  18. 14
  19. 3
  20. 60
  21. 2
  22. 14
  23. 13
  24. 12
  25. 14
  26. 1
  27. 15
  28. 36
  29. 15
  30. 35
  31. 10
  32. 3
  33. 10
  34. 2
  35. 10
  36. 7
  37. 8
  38. 4
  39. 3
  40. 11

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