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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 314 · 40 sums
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The method (Keep the balance): 3x means 3 × x. "5 more" → + 5, "5 fewer" → − 5, "5 times" → 5n, "shared among 5" → n ÷ 5. Value of an expression: put the number in place of the letter, then work it out — 3x + 5 when x = 4 is 12 + 5 = 17. Solve x + a = b by taking a from both sides; x − a = b by adding a; ax = b by dividing by a; x ÷ a = b by multiplying by a. Check by putting your answer back into the equation.

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  1. 1.Meera shares p marbles equally among 8 friends. Which expression shows how many marbles each friend gets? (a) p − 8 (b) p + 8 (c) 8p (d) p ÷ 8
  2. 2.Find the value of 8m − 7 when m = 1.
  3. 3.Find the value of 3n + 18 when n = 10.
  4. 4.Solve: n ÷ 11 = 1. What is n?
  5. 5.Solve: t ÷ 8 = 11. What is t?
  6. 6.Find the value of 6y + 5 when y = 8.
  7. 7.Find the value of 7m − 18 when m = 6.
  8. 8.Find the value of 6y − 3 when y = 4.
  9. 9.Solve: n − 7 = 20. What is n?
  10. 10.Find the value of 2m + 10 when m = 4.
  11. 11.Solve: 4x = 44. What is x?
  12. 12.Find the value of 8m − 5 when m = 1.
  13. 13.Find the value of 6a + 6b when a = 5 and b = 7.
  14. 14.Lakshmi has k mangoes. A friend has 5 fewer. Which expression shows how many mangoes the friend has? (a) k + 5 (b) k ÷ 5 (c) k − 5 (d) 5k
  15. 15.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
  16. 16.Find the value of 8n − 14 when n = 2.
  17. 17.Solve: y + 11 = 27. What is y?
  18. 18.Find the value of 2p + 10 when p = 9.
  19. 19.Find the value of 2m − 1 when m = 1.
  20. 20.Find the value of 2a + 5b when a = 1 and b = 1.
  21. 21.Find the value of 9p + 12 when p = 3.
  22. 22.Solve: 5y = 55. What is y?
  23. 23.Find the value of 4x − 19 when x = 6.
  24. 24.Solve: m + 3 = 19. What is m?
  25. 25.Find the value of 2a + 2b when a = 3 and b = 9.
  26. 26.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
  27. 27.Solve: y ÷ 7 = 14. What is y?
  28. 28.Solve: 6p = 30. What is p?
  29. 29.Find the value of 9y + 6 when y = 4.
  30. 30.Solve: t ÷ 9 = 19. What is t?
  31. 31.Find the value of 3a + 2b when a = 9 and b = 2.
  32. 32.Solve: p ÷ 4 = 11. What is p?
  33. 33.Solve: 12p = 180. What is p?
  34. 34.Find the value of 3a + 4b when a = 10 and b = 2.
  35. 35.Kavya has p mangoes. A friend has 3 more. Which expression shows how many mangoes the friend has? (a) p + 3 (b) p − 3 (c) p ÷ 3 (d) 3p
  36. 36.Solve: y + 11 = 15. What is y?
  37. 37.Find the value of 8n − 27 when n = 8.
  38. 38.Solve: y − 5 = 12. What is y?
  39. 39.Solve: x + 8 = 19. What is x?
  40. 40.Find the value of 8a + 5b when a = 6 and b = 2.

Answer key

  1. p ÷ 8
  2. 1
  3. 48
  4. 11
  5. 88
  6. 53
  7. 24
  8. 21
  9. 27
  10. 18
  11. 11
  12. 3
  13. 72
  14. k − 5
  15. 90
  16. 2
  17. 16
  18. 28
  19. 1
  20. 7
  21. 39
  22. 11
  23. 5
  24. 16
  25. 24
  26. 32
  27. 98
  28. 5
  29. 42
  30. 171
  31. 31
  32. 44
  33. 15
  34. 38
  35. p + 3
  36. 4
  37. 37
  38. 17
  39. 11
  40. 58

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