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Class 6 Maths Worksheet: Algebra

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

Answer key

  1. 31
  2. n − 9
  3. 24
  4. 5
  5. 12
  6. 4
  7. 4
  8. 36
  9. 86
  10. 51
  11. 32
  12. 1
  13. 37
  14. 28
  15. 10
  16. 14
  17. 86
  18. 2
  19. 36
  20. 24
  21. 11
  22. p ÷ 4
  23. 76
  24. n + 5
  25. 33
  26. 24
  27. 21
  28. 38
  29. m ÷ 4
  30. 84
  31. 80
  32. 15
  33. 66
  34. 40
  35. 39
  36. 22
  37. 38
  38. 89
  39. 56
  40. 7

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