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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 303 · 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: 4(x + 9) = 76. What is x?
  2. 2.Solve: 4n − 5 = 31. What is n?
  3. 3.Solve: 7y − 9 = 12. What is y?
  4. 4.Solve: 7(x + 7) = 63. What is x?
  5. 5.Aarav thinks of a number, multiplies it by 7 and then adds 26. The result is 89. What is the number?
  6. 6.Solve: x/8 + 11 = 19. What is x?
  7. 7.Solve: 3(m + 3) = 18. What is m?
  8. 8.Solve: 7m − 19 = 2. What is m?
  9. 9.Solve: 9y − 5 = 31. What is y?
  10. 10.Solve: x/7 + 13 = 24. What is x?
  11. 11.Solve: 6x − 75 = 9. What is x?
  12. 12.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 30 years. How old is Vivaan?
  13. 13.Manav’s mother is four times as old as Manav. Their ages add up to 45 years. How old is Manav?
  14. 14.Meera thinks of a number, multiplies it by 2 and then adds 2. The result is 8. What is the number?
  15. 15.Solve: 8y + 22 = 110. What is y?
  16. 16.Solve: 6p + 10 = 88. What is p?
  17. 17.Solve: 3(m + 1) = 33. What is m?
  18. 18.Diya is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  19. 19.Solve: 5(n + 1) = 25. What is n?
  20. 20.Solve: 8m − 68 = 4. What is m?
  21. 21.Solve: 9n − 32 = 4. What is n?
  22. 22.Isha thinks of a number, multiplies it by 2 and then adds 2. The result is 8. What is the number?
  23. 23.Solve: 3m + 10 = 43. What is m?
  24. 24.Solve: x/9 + 15 = 18. What is x?
  25. 25.Solve: 5p + 6 = 11. What is p?
  26. 26.Isha’s mother is twice as old as Isha. Their ages add up to 21 years. How old is Isha?
  27. 27.Gurpreet thinks of a number, multiplies it by 2 and then adds 6. The result is 12. What is the number?
  28. 28.Riya’s mother is four times as old as Riya. Their ages add up to 50 years. How old is Riya?
  29. 29.Solve: 4(t + 2) = 32. What is t?
  30. 30.Solve: 6t − 38 = 16. What is t?
  31. 31.Ananya is 3 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  32. 32.Nisha’s mother is twice as old as Nisha. Their ages add up to 21 years. How old is Nisha?
  33. 33.Solve: 3(t + 1) = 6. What is t?
  34. 34.Meera thinks of a number, multiplies it by 6 and then adds 3. The result is 45. What is the number?
  35. 35.Solve: n/8 + 5 = 15. What is n?
  36. 36.Solve: 5x − 26 = 19. What is x?
  37. 37.Solve: 5p − 10 = 10. What is p?
  38. 38.Ananya is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  39. 39.Priya is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  40. 40.Solve: p/6 + 16 = 24. What is p?

Answer key

  1. 10
  2. 9
  3. 3
  4. 2
  5. 9
  6. 64
  7. 3
  8. 3
  9. 4
  10. 77
  11. 14
  12. 6
  13. 9
  14. 3
  15. 11
  16. 13
  17. 10
  18. 6
  19. 4
  20. 9
  21. 4
  22. 3
  23. 11
  24. 27
  25. 1
  26. 7
  27. 3
  28. 10
  29. 6
  30. 9
  31. 6
  32. 7
  33. 1
  34. 7
  35. 80
  36. 9
  37. 4
  38. 7
  39. 5
  40. 48

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