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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 470 · 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: 5(y + 7) = 105. What is y?
  2. 2.Dev’s mother is three times as old as Dev. Their ages add up to 44 years. How old is Dev?
  3. 3.Solve: 7x + 10 = 94. What is x?
  4. 4.Solve: 9(p + 6) = 153. What is p?
  5. 5.Meera’s mother is twice as old as Meera. Their ages add up to 45 years. How old is Meera?
  6. 6.Solve: t/6 + 8 = 22. What is t?
  7. 7.Solve: 7m + 27 = 118. What is m?
  8. 8.Solve: 9n − 119 = 16. What is n?
  9. 9.Solve: x/4 + 1 = 15. What is x?
  10. 10.Solve: p/2 + 9 = 24. What is p?
  11. 11.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 21 years. How old is Gurpreet?
  12. 12.Solve: 4p − 2 = 10. What is p?
  13. 13.Solve: 4(m + 2) = 44. What is m?
  14. 14.Solve: n/8 + 14 = 24. What is n?
  15. 15.Vivaan is 4 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  16. 16.Solve: 7y − 33 = 58. What is y?
  17. 17.Sneha thinks of a number, multiplies it by 8 and then adds 6. The result is 78. What is the number?
  18. 18.Solve: 9(t + 3) = 126. What is t?
  19. 19.Solve: t/6 + 7 = 18. What is t?
  20. 20.Solve: 3(p + 6) = 45. What is p?
  21. 21.Solve: 4p + 21 = 41. What is p?
  22. 22.Solve: 7y + 29 = 78. What is y?
  23. 23.Sneha thinks of a number, multiplies it by 7 and then adds 2. The result is 58. What is the number?
  24. 24.Priya is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  25. 25.Joseph thinks of a number, multiplies it by 5 and then adds 5. The result is 35. What is the number?
  26. 26.Arjun thinks of a number, multiplies it by 7 and then adds 14. The result is 119. What is the number?
  27. 27.Solve: 8(t + 9) = 80. What is t?
  28. 28.Rohan’s mother is three times as old as Rohan. Their ages add up to 20 years. How old is Rohan?
  29. 29.Solve: m/7 + 6 = 15. What is m?
  30. 30.Solve: 5(n + 2) = 35. What is n?
  31. 31.Solve: p/6 + 17 = 23. What is p?
  32. 32.Solve: 3y + 30 = 45. What is y?
  33. 33.Solve: 9t + 26 = 107. What is t?
  34. 34.Solve: x/6 + 18 = 23. What is x?
  35. 35.Solve: 6x − 5 = 19. What is x?
  36. 36.Solve: 2(n + 8) = 38. What is n?
  37. 37.Nisha thinks of a number, multiplies it by 6 and then adds 11. The result is 29. What is the number?
  38. 38.Aarav is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  39. 39.Zoya thinks of a number, multiplies it by 3 and then adds 17. The result is 59. What is the number?
  40. 40.Solve: 7m + 20 = 90. What is m?

Answer key

  1. 14
  2. 11
  3. 12
  4. 11
  5. 15
  6. 84
  7. 13
  8. 15
  9. 56
  10. 30
  11. 7
  12. 3
  13. 9
  14. 80
  15. 14
  16. 13
  17. 9
  18. 11
  19. 66
  20. 9
  21. 5
  22. 7
  23. 8
  24. 15
  25. 6
  26. 15
  27. 1
  28. 5
  29. 63
  30. 5
  31. 36
  32. 5
  33. 9
  34. 30
  35. 4
  36. 11
  37. 3
  38. 5
  39. 14
  40. 10

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