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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 277 · 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.Find the value of 2a + 2b when a = 1 and b = 6.
  2. 2.Solve: t ÷ 6 = 20. What is t?
  3. 3.Manav shares m mangoes equally among 3 friends. Which expression shows how many mangoes each friend gets? (a) m + 3 (b) 3m (c) m ÷ 3 (d) m − 3
  4. 4.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
  5. 5.Find the value of 9a + 5b when a = 9 and b = 1.
  6. 6.Find the value of 8t − 58 when t = 10.
  7. 7.Find the value of 7x + 1 when x = 2.
  8. 8.Find the value of 8a + 5b when a = 1 and b = 5.
  9. 9.Solve: p + 2 = 20. What is p?
  10. 10.Solve: y − 8 = 2. What is y?
  11. 11.Solve: p − 10 = 15. What is p?
  12. 12.Find the value of 8a + 7b when a = 8 and b = 2.
  13. 13.Find the value of 2y + 18 when y = 8.
  14. 14.Find the value of 6t − 33 when t = 10.
  15. 15.Solve: 4x = 24. What is x?
  16. 16.Find the value of 2y + 20 when y = 9.
  17. 17.Find the value of 9a + 5b when a = 3 and b = 10.
  18. 18.Find the value of 3a + 2b when a = 5 and b = 10.
  19. 19.Find the value of 3a + 3b when a = 7 and b = 1.
  20. 20.Find the value of 7a + 4b when a = 9 and b = 7.
  21. 21.Rahul shares n mangoes equally among 5 friends. Which expression shows how many mangoes each friend gets? (a) n − 5 (b) 5n (c) n + 5 (d) n ÷ 5
  22. 22.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
  23. 23.Rahul has m mangoes. A friend has 4 more. Which expression shows how many mangoes the friend has? (a) 4m (b) m + 4 (c) m ÷ 4 (d) m − 4
  24. 24.Find the value of 9t + 6 when t = 12.
  25. 25.Find the value of 2m + 2 when m = 1.
  26. 26.Find the value of 3x + 14 when x = 9.
  27. 27.Find the value of 8p + 18 when p = 6.
  28. 28.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
  29. 29.Find the value of 5x − 37 when x = 8.
  30. 30.Find the value of 6x + 13 when x = 8.
  31. 31.Find the value of 2y + 3 when y = 9.
  32. 32.Solve: 10n = 140. What is n?
  33. 33.Solve: 2y = 2. What is y?
  34. 34.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
  35. 35.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
  36. 36.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
  37. 37.Find the value of 9n + 12 when n = 11.
  38. 38.Find the value of 7t + 17 when t = 7.
  39. 39.Diya has n shells. A friend has 8 times as many. Which expression shows how many shells the friend has? (a) 8n (b) n + 8 (c) n − 8 (d) n ÷ 8
  40. 40.Find the value of 7a + 6b when a = 6 and b = 4.

Answer key

  1. 14
  2. 120
  3. m ÷ 3
  4. 54
  5. 86
  6. 22
  7. 15
  8. 33
  9. 18
  10. 10
  11. 25
  12. 78
  13. 34
  14. 27
  15. 6
  16. 38
  17. 77
  18. 35
  19. 24
  20. 91
  21. n ÷ 5
  22. 45
  23. m + 4
  24. 114
  25. 4
  26. 41
  27. 66
  28. 44
  29. 3
  30. 61
  31. 21
  32. 14
  33. 1
  34. 21
  35. 72
  36. 78
  37. 111
  38. 66
  39. 8n
  40. 66

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