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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 344 · 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: m − 8 = 1. What is m?
  2. 2.Find the value of 9a + 6b when a = 4 and b = 9.
  3. 3.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
  4. 4.Solve: 8x = 160. What is x?
  5. 5.Find the value of 2t + 20 when t = 12.
  6. 6.Find the value of 8a + 9b when a = 2 and b = 3.
  7. 7.Find the value of 5a + 2b when a = 7 and b = 8.
  8. 8.Solve: p − 7 = 17. What is p?
  9. 9.Solve: 9m = 9. What is m?
  10. 10.Solve: t − 7 = 6. What is t?
  11. 11.Find the value of 6a + 6b when a = 3 and b = 2.
  12. 12.Find the value of 5a + 2b when a = 4 and b = 2.
  13. 13.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
  14. 14.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
  15. 15.Find the value of 4p + 14 when p = 4.
  16. 16.Find the value of 5a + 7b when a = 8 and b = 9.
  17. 17.Solve: y + 6 = 15. What is y?
  18. 18.Solve: 5n = 10. What is n?
  19. 19.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
  20. 20.Solve: y ÷ 8 = 7. What is y?
  21. 21.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
  22. 22.Find the value of 6m + 7 when m = 9.
  23. 23.Find the value of 4a + 2b when a = 2 and b = 4.
  24. 24.Find the value of 6a + 3b when a = 10 and b = 4.
  25. 25.Solve: x − 10 = 8. What is x?
  26. 26.Solve: p − 4 = 20. What is p?
  27. 27.Isha has n kites. A friend has 8 fewer. Which expression shows how many kites the friend has? (a) 8n (b) n ÷ 8 (c) n + 8 (d) n − 8
  28. 28.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
  29. 29.Solve: n ÷ 12 = 13. What is n?
  30. 30.Find the value of 5p − 27 when p = 11.
  31. 31.Find the value of 5p − 25 when p = 6.
  32. 32.Find the value of 5a + 8b when a = 5 and b = 3.
  33. 33.Lakshmi has n balloons. A friend has 2 times as many. Which expression shows how many balloons the friend has? (a) n ÷ 2 (b) 2n (c) n + 2 (d) n − 2
  34. 34.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 30 letters?
  35. 35.Find the value of 8t − 42 when t = 6.
  36. 36.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
  37. 37.Find the value of 2a + 9b when a = 9 and b = 2.
  38. 38.Rahul has n flowers. A friend has 4 more. Which expression shows how many flowers the friend has? (a) n − 4 (b) n ÷ 4 (c) 4n (d) n + 4
  39. 39.Solve: t ÷ 5 = 4. What is t?
  40. 40.Vivaan has m mangoes. A friend has 5 times as many. Which expression shows how many mangoes the friend has? (a) m + 5 (b) 5m (c) m − 5 (d) m ÷ 5

Answer key

  1. 9
  2. 90
  3. 36
  4. 20
  5. 44
  6. 43
  7. 51
  8. 24
  9. 1
  10. 13
  11. 30
  12. 24
  13. 18
  14. 44
  15. 30
  16. 103
  17. 9
  18. 2
  19. 48
  20. 56
  21. 90
  22. 61
  23. 16
  24. 72
  25. 18
  26. 24
  27. n − 8
  28. 48
  29. 156
  30. 28
  31. 5
  32. 49
  33. 2n
  34. 120
  35. 6
  36. 24
  37. 36
  38. n + 4
  39. 20
  40. 5m

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