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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 331 · 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.Find the value of 8n − 2 when n = 2.
  2. 2.Find the value of 5x + 1 when x = 12.
  3. 3.Find the value of 9a + 4b when a = 3 and b = 1.
  4. 4.Solve: n + 10 = 25. What is n?
  5. 5.Find the value of 6m − 42 when m = 9.
  6. 6.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
  7. 7.Find the value of 2x − 3 when x = 12.
  8. 8.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 16 letters?
  9. 9.Solve: n − 11 = 9. What is n?
  10. 10.Solve: 6t = 18. What is t?
  11. 11.Solve: y + 12 = 29. What is y?
  12. 12.Find the value of 9x − 31 when x = 11.
  13. 13.Farhan has p bananas. A friend has 6 times as many. Which expression shows how many bananas the friend has? (a) p ÷ 6 (b) p + 6 (c) p − 6 (d) 6p
  14. 14.Nisha shares p balloons equally among 3 friends. Which expression shows how many balloons each friend gets? (a) p + 3 (b) p ÷ 3 (c) p − 3 (d) 3p
  15. 15.Find the value of 9a + 8b when a = 8 and b = 5.
  16. 16.Find the value of 3a + 3b when a = 7 and b = 9.
  17. 17.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
  18. 18.Solve: x ÷ 7 = 10. What is x?
  19. 19.Find the value of 7a + 2b when a = 2 and b = 3.
  20. 20.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
  21. 21.Find the value of 3a + 9b when a = 3 and b = 3.
  22. 22.Find the value of 4y + 8 when y = 7.
  23. 23.Find the value of 7x + 1 when x = 3.
  24. 24.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
  25. 25.Solve: p ÷ 9 = 15. What is p?
  26. 26.Find the value of 6a + 3b when a = 9 and b = 6.
  27. 27.Find the value of 2x + 1 when x = 2.
  28. 28.Find the value of 3y + 9 when y = 6.
  29. 29.Find the value of 5n + 15 when n = 8.
  30. 30.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
  31. 31.Find the value of 5a + 7b when a = 5 and b = 6.
  32. 32.Meera has k balloons. A friend has 8 times as many. Which expression shows how many balloons the friend has? (a) k − 8 (b) 8k (c) k + 8 (d) k ÷ 8
  33. 33.Sneha shares p laddoos equally among 7 friends. Which expression shows how many laddoos each friend gets? (a) p + 7 (b) 7p (c) p − 7 (d) p ÷ 7
  34. 34.Solve: t − 8 = 20. What is t?
  35. 35.Riya has n flowers. A friend has 9 times as many. Which expression shows how many flowers the friend has? (a) n + 9 (b) n − 9 (c) n ÷ 9 (d) 9n
  36. 36.Find the value of 5a + 2b when a = 8 and b = 5.
  37. 37.Find the value of 5y + 2 when y = 7.
  38. 38.Find the value of 4a + 9b when a = 9 and b = 4.
  39. 39.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
  40. 40.Find the value of 8a + 8b when a = 4 and b = 7.

Answer key

  1. 14
  2. 61
  3. 31
  4. 15
  5. 12
  6. 50
  7. 21
  8. 64
  9. 20
  10. 3
  11. 17
  12. 68
  13. 6p
  14. p ÷ 3
  15. 112
  16. 48
  17. 20
  18. 70
  19. 20
  20. 15
  21. 36
  22. 36
  23. 22
  24. 54
  25. 135
  26. 72
  27. 5
  28. 27
  29. 55
  30. 57
  31. 67
  32. 8k
  33. p ÷ 7
  34. 28
  35. 9n
  36. 50
  37. 37
  38. 72
  39. 44
  40. 88

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