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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 538 · 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.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  2. 2.Find the value of 5a + 3b when a = 8 and b = 3.
  3. 3.Find the value of 2y + 5 when y = 9.
  4. 4.Find the value of 6a + 7b when a = 5 and b = 4.
  5. 5.Find the value of 4x + 9 when x = 4.
  6. 6.Find the value of 9m − 67 when m = 9.
  7. 7.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
  8. 8.Ananya shares k mangoes equally among 8 friends. Which expression shows how many mangoes each friend gets? (a) k + 8 (b) 8k (c) k ÷ 8 (d) k − 8
  9. 9.Solve: t ÷ 3 = 3. What is t?
  10. 10.Find the value of 5y − 8 when y = 5.
  11. 11.Find the value of 3a + 7b when a = 4 and b = 4.
  12. 12.Meera shares n pencils equally among 9 friends. Which expression shows how many pencils each friend gets? (a) n − 9 (b) 9n (c) n + 9 (d) n ÷ 9
  13. 13.Find the value of 2x + 8 when x = 4.
  14. 14.Find the value of 7a + 4b when a = 5 and b = 5.
  15. 15.Ishaan has m marbles. A friend has 3 times as many. Which expression shows how many marbles the friend has? (a) m + 3 (b) m ÷ 3 (c) m − 3 (d) 3m
  16. 16.Solve: m + 7 = 26. What is m?
  17. 17.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 8 letters?
  18. 18.Solve: 5p = 30. What is p?
  19. 19.Solve: 6t = 114. What is t?
  20. 20.Find the value of 7t − 11 when t = 3.
  21. 21.Solve: 7n = 133. What is n?
  22. 22.Find the value of 9a + 3b when a = 10 and b = 7.
  23. 23.Find the value of 4a + 4b when a = 5 and b = 6.
  24. 24.Find the value of 4x + 8 when x = 10.
  25. 25.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
  26. 26.Solve: t ÷ 8 = 2. What is t?
  27. 27.Find the value of 3y − 13 when y = 12.
  28. 28.Find the value of 6x + 13 when x = 10.
  29. 29.Dev has m balls. A friend has 5 more. Which expression shows how many balls the friend has? (a) m + 5 (b) 5m (c) m ÷ 5 (d) m − 5
  30. 30.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
  31. 31.Find the value of 5m − 12 when m = 10.
  32. 32.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
  33. 33.Find the value of 6y − 5 when y = 12.
  34. 34.Solve: x ÷ 4 = 18. What is x?
  35. 35.Solve: p ÷ 7 = 4. What is p?
  36. 36.Find the value of 4a + 4b when a = 5 and b = 9.
  37. 37.Find the value of 4a + 3b when a = 6 and b = 2.
  38. 38.Find the value of 6p − 2 when p = 1.
  39. 39.Find the value of 9a + 2b when a = 4 and b = 5.
  40. 40.Solve: m + 10 = 14. What is m?

Answer key

  1. 27
  2. 49
  3. 23
  4. 58
  5. 25
  6. 14
  7. 16
  8. k ÷ 8
  9. 9
  10. 17
  11. 40
  12. n ÷ 9
  13. 16
  14. 55
  15. 3m
  16. 19
  17. 32
  18. 6
  19. 19
  20. 10
  21. 19
  22. 111
  23. 44
  24. 48
  25. 54
  26. 16
  27. 23
  28. 73
  29. m + 5
  30. 42
  31. 38
  32. 50
  33. 67
  34. 72
  35. 28
  36. 56
  37. 30
  38. 4
  39. 46
  40. 4

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