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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 381 · 40 sums
TalentJR

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 ÷ 6 = 7. What is n?
  2. 2.Solve: 4y = 40. What is y?
  3. 3.Find the value of 2a + 3b when a = 6 and b = 10.
  4. 4.Find the value of 7a + 3b when a = 6 and b = 8.
  5. 5.Solve: t − 5 = 5. What is t?
  6. 6.Find the value of 6a + 2b when a = 7 and b = 8.
  7. 7.Solve: x + 10 = 30. What is x?
  8. 8.Solve: n ÷ 11 = 17. What is n?
  9. 9.Find the value of 3x + 17 when x = 1.
  10. 10.Find the value of 9a + 7b when a = 10 and b = 7.
  11. 11.Find the value of 2a + 3b when a = 9 and b = 6.
  12. 12.Solve: p + 2 = 3. What is p?
  13. 13.Find the value of 5a + 7b when a = 10 and b = 7.
  14. 14.Solve: t − 11 = 1. What is t?
  15. 15.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
  16. 16.Find the value of 5x + 3 when x = 12.
  17. 17.Find the value of 9a + 8b when a = 2 and b = 2.
  18. 18.Find the value of 6a + 2b when a = 9 and b = 9.
  19. 19.Solve: t ÷ 7 = 2. What is t?
  20. 20.Solve: 12t = 60. What is t?
  21. 21.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
  22. 22.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
  23. 23.Find the value of 8a + 7b when a = 1 and b = 1.
  24. 24.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
  25. 25.Find the value of 7a + 9b when a = 10 and b = 8.
  26. 26.Solve: 10n = 140. What is n?
  27. 27.Nisha shares m mangoes equally among 8 friends. Which expression shows how many mangoes each friend gets? (a) m ÷ 8 (b) m − 8 (c) 8m (d) m + 8
  28. 28.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
  29. 29.Kabir shares m balloons equally among 6 friends. Which expression shows how many balloons each friend gets? (a) m ÷ 6 (b) m − 6 (c) 6m (d) m + 6
  30. 30.Find the value of 2m + 17 when m = 3.
  31. 31.Find the value of 3a + 7b when a = 9 and b = 7.
  32. 32.Find the value of 2a + 8b when a = 9 and b = 2.
  33. 33.Find the value of 9m − 20 when m = 6.
  34. 34.Aditya has m mangoes. A friend has 2 fewer. Which expression shows how many mangoes the friend has? (a) 2m (b) m ÷ 2 (c) m − 2 (d) m + 2
  35. 35.Solve: y ÷ 6 = 6. What is y?
  36. 36.Find the value of 8m + 7 when m = 5.
  37. 37.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
  38. 38.Find the value of 9p − 2 when p = 2.
  39. 39.Find the value of 2x − 3 when x = 2.
  40. 40.Gurpreet has m flowers. A friend has 5 more. Which expression shows how many flowers the friend has? (a) 5m (b) m − 5 (c) m + 5 (d) m ÷ 5

Answer key

  1. 42
  2. 10
  3. 42
  4. 66
  5. 10
  6. 58
  7. 20
  8. 187
  9. 20
  10. 139
  11. 36
  12. 1
  13. 99
  14. 12
  15. 28
  16. 63
  17. 34
  18. 72
  19. 14
  20. 5
  21. 36
  22. 30
  23. 15
  24. 81
  25. 142
  26. 14
  27. m ÷ 8
  28. 56
  29. m ÷ 6
  30. 23
  31. 76
  32. 34
  33. 34
  34. m − 2
  35. 36
  36. 47
  37. 51
  38. 16
  39. 1
  40. m + 5

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