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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 360 · 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 6m − 34 when m = 11.
  2. 2.Find the value of 4a + 3b when a = 1 and b = 3.
  3. 3.Find the value of 7y + 1 when y = 5.
  4. 4.Find the value of 8a + 9b when a = 4 and b = 6.
  5. 5.Find the value of 9t + 10 when t = 4.
  6. 6.Find the value of 9y + 6 when y = 2.
  7. 7.Solve: x − 7 = 14. What is x?
  8. 8.Solve: n − 11 = 3. What is n?
  9. 9.Rohan has n crayons. A friend has 9 fewer. Which expression shows how many crayons the friend has? (a) n + 9 (b) 9n (c) n ÷ 9 (d) n − 9
  10. 10.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
  11. 11.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
  12. 12.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
  13. 13.Find the value of 6a + 7b when a = 3 and b = 1.
  14. 14.Find the value of 8a + 7b when a = 6 and b = 2.
  15. 15.Find the value of 8p − 10 when p = 9.
  16. 16.Find the value of 7m + 12 when m = 1.
  17. 17.Solve: y + 3 = 23. What is y?
  18. 18.Find the value of 8t − 30 when t = 10.
  19. 19.Find the value of 7n − 4 when n = 6.
  20. 20.Find the value of 3m + 12 when m = 4.
  21. 21.Arjun has k mangoes. A friend has 8 more. Which expression shows how many mangoes the friend has? (a) k + 8 (b) 8k (c) k ÷ 8 (d) k − 8
  22. 22.Find the value of 8a + 4b when a = 7 and b = 2.
  23. 23.Diya shares m shells equally among 3 friends. Which expression shows how many shells each friend gets? (a) 3m (b) m − 3 (c) m ÷ 3 (d) m + 3
  24. 24.Find the value of 9a + 2b when a = 1 and b = 5.
  25. 25.Find the value of 4n + 9 when n = 2.
  26. 26.Solve: x + 12 = 15. What is x?
  27. 27.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 7 letters?
  28. 28.Find the value of 3n − 7 when n = 3.
  29. 29.Find the value of 9a + 7b when a = 5 and b = 3.
  30. 30.Find the value of 7p + 18 when p = 5.
  31. 31.Find the value of 4m + 2 when m = 5.
  32. 32.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
  33. 33.Solve: p + 10 = 14. What is p?
  34. 34.Find the value of 6t + 1 when t = 7.
  35. 35.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
  36. 36.Find the value of 8y + 5 when y = 9.
  37. 37.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 27 letters?
  38. 38.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
  39. 39.Find the value of 3n − 7 when n = 10.
  40. 40.Find the value of 6t + 15 when t = 2.

Answer key

  1. 32
  2. 13
  3. 36
  4. 86
  5. 46
  6. 24
  7. 21
  8. 14
  9. n − 9
  10. 32
  11. 38
  12. 40
  13. 25
  14. 62
  15. 62
  16. 19
  17. 20
  18. 50
  19. 38
  20. 24
  21. k + 8
  22. 64
  23. m ÷ 3
  24. 19
  25. 17
  26. 3
  27. 28
  28. 2
  29. 66
  30. 53
  31. 22
  32. 63
  33. 4
  34. 43
  35. 33
  36. 77
  37. 108
  38. 24
  39. 23
  40. 27

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