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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 244 · 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 4m + 9 when m = 8.
  2. 2.Find the value of 4t + 7 when t = 5.
  3. 3.Solve: x − 4 = 10. What is x?
  4. 4.Find the value of 8n − 1 when n = 3.
  5. 5.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
  6. 6.Find the value of 5a + 5b when a = 7 and b = 9.
  7. 7.Solve: 4p = 68. What is p?
  8. 8.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 8 letters?
  9. 9.Find the value of 3a + 6b when a = 7 and b = 5.
  10. 10.Solve: n ÷ 7 = 3. What is n?
  11. 11.Find the value of 9x − 72 when x = 10.
  12. 12.Find the value of 2m + 11 when m = 7.
  13. 13.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
  14. 14.Find the value of 4n + 4 when n = 1.
  15. 15.Meera has p bananas. A friend has 6 fewer. Which expression shows how many bananas the friend has? (a) p ÷ 6 (b) 6p (c) p − 6 (d) p + 6
  16. 16.Solve: t − 10 = 8. What is t?
  17. 17.Solve: n ÷ 4 = 11. What is n?
  18. 18.Find the value of 9m + 9 when m = 6.
  19. 19.Isha has k mangoes. A friend has 2 more. Which expression shows how many mangoes the friend has? (a) k ÷ 2 (b) 2k (c) k + 2 (d) k − 2
  20. 20.Find the value of 8y − 75 when y = 11.
  21. 21.Find the value of 8x + 20 when x = 8.
  22. 22.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 25 letters?
  23. 23.Find the value of 4y + 18 when y = 1.
  24. 24.Find the value of 3p − 1 when p = 1.
  25. 25.Find the value of 3a + 2b when a = 10 and b = 2.
  26. 26.Find the value of 2y + 18 when y = 2.
  27. 27.Find the value of 3a + 9b when a = 2 and b = 5.
  28. 28.Find the value of 9a + 3b when a = 9 and b = 2.
  29. 29.Find the value of 7a + 9b when a = 7 and b = 1.
  30. 30.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
  31. 31.Find the value of 8a + 9b when a = 3 and b = 8.
  32. 32.Nisha has m kites. A friend has 7 fewer. Which expression shows how many kites the friend has? (a) m + 7 (b) 7m (c) m ÷ 7 (d) m − 7
  33. 33.Solve: m ÷ 10 = 16. What is m?
  34. 34.Find the value of 4m − 5 when m = 3.
  35. 35.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
  36. 36.Find the value of 4n − 19 when n = 5.
  37. 37.Find the value of 7a + 3b when a = 5 and b = 2.
  38. 38.Find the value of 6t + 11 when t = 12.
  39. 39.Solve: t ÷ 6 = 13. What is t?
  40. 40.Find the value of 5a + 8b when a = 9 and b = 1.

Answer key

  1. 41
  2. 27
  3. 14
  4. 23
  5. 30
  6. 80
  7. 17
  8. 32
  9. 51
  10. 21
  11. 18
  12. 25
  13. 39
  14. 8
  15. p − 6
  16. 18
  17. 44
  18. 63
  19. k + 2
  20. 13
  21. 84
  22. 100
  23. 22
  24. 2
  25. 34
  26. 22
  27. 51
  28. 87
  29. 58
  30. 18
  31. 96
  32. m − 7
  33. 160
  34. 7
  35. 63
  36. 1
  37. 41
  38. 83
  39. 78
  40. 53

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