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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 279 · 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.Solve: n ÷ 5 = 4. What is n?
  2. 2.Find the value of 5a + 4b when a = 10 and b = 2.
  3. 3.Vivaan has n flowers. A friend has 5 fewer. Which expression shows how many flowers the friend has? (a) 5n (b) n + 5 (c) n ÷ 5 (d) n − 5
  4. 4.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
  5. 5.Find the value of 2a + 4b when a = 3 and b = 4.
  6. 6.Solve: x − 5 = 6. What is x?
  7. 7.Find the value of 4y + 5 when y = 12.
  8. 8.Solve: 3x = 60. What is x?
  9. 9.Find the value of 9a + 2b when a = 1 and b = 3.
  10. 10.Find the value of 5a + 5b when a = 3 and b = 5.
  11. 11.Find the value of 8a + 3b when a = 7 and b = 2.
  12. 12.Priya has k shells. A friend has 6 fewer. Which expression shows how many shells the friend has? (a) k + 6 (b) 6k (c) k − 6 (d) k ÷ 6
  13. 13.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
  14. 14.Find the value of 2m − 1 when m = 2.
  15. 15.Find the value of 8t + 1 when t = 4.
  16. 16.Find the value of 8y + 4 when y = 2.
  17. 17.Find the value of 9a + 3b when a = 7 and b = 5.
  18. 18.Diya shares n bananas equally among 4 friends. Which expression shows how many bananas each friend gets? (a) 4n (b) n ÷ 4 (c) n + 4 (d) n − 4
  19. 19.Find the value of 2p + 3 when p = 6.
  20. 20.Find the value of 8a + 4b when a = 2 and b = 1.
  21. 21.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
  22. 22.Find the value of 9a + 4b when a = 4 and b = 6.
  23. 23.Find the value of 5p + 15 when p = 12.
  24. 24.Find the value of 6y − 8 when y = 2.
  25. 25.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
  26. 26.Kabir has m pencils. A friend has 2 more. Which expression shows how many pencils the friend has? (a) 2m (b) m ÷ 2 (c) m + 2 (d) m − 2
  27. 27.Find the value of 6m + 5 when m = 1.
  28. 28.Solve: x + 9 = 21. What is x?
  29. 29.Solve: m − 6 = 19. What is m?
  30. 30.Find the value of 4x + 13 when x = 11.
  31. 31.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
  32. 32.Find the value of 5a + 6b when a = 6 and b = 9.
  33. 33.Find the value of 8a + 8b when a = 8 and b = 2.
  34. 34.Nisha has n books. A friend has 8 more. Which expression shows how many books the friend has? (a) n ÷ 8 (b) n + 8 (c) 8n (d) n − 8
  35. 35.Find the value of 7t − 5 when t = 4.
  36. 36.Find the value of 4y + 15 when y = 3.
  37. 37.Solve: m − 3 = 17. What is m?
  38. 38.Find the value of 7m + 16 when m = 9.
  39. 39.Kavya shares k marbles equally among 9 friends. Which expression shows how many marbles each friend gets? (a) 9k (b) k + 9 (c) k ÷ 9 (d) k − 9
  40. 40.Find the value of 8t − 71 when t = 10.

Answer key

  1. 20
  2. 58
  3. n − 5
  4. 87
  5. 22
  6. 11
  7. 53
  8. 20
  9. 15
  10. 40
  11. 62
  12. k − 6
  13. 26
  14. 3
  15. 33
  16. 20
  17. 78
  18. n ÷ 4
  19. 15
  20. 20
  21. 30
  22. 60
  23. 75
  24. 4
  25. 54
  26. m + 2
  27. 11
  28. 12
  29. 25
  30. 57
  31. 36
  32. 84
  33. 80
  34. n + 8
  35. 23
  36. 27
  37. 20
  38. 79
  39. k ÷ 9
  40. 9

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