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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 72 · 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: p ÷ 12 = 9. What is p?
  2. 2.Solve: y + 5 = 24. What is y?
  3. 3.Find the value of 6a + 8b when a = 8 and b = 3.
  4. 4.Find the value of 2a + 7b when a = 4 and b = 8.
  5. 5.Find the value of 2m + 19 when m = 7.
  6. 6.Find the value of 2y + 2 when y = 7.
  7. 7.Find the value of 2a + 7b when a = 1 and b = 7.
  8. 8.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
  9. 9.Find the value of 2a + 5b when a = 6 and b = 6.
  10. 10.Find the value of 5x + 3 when x = 8.
  11. 11.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
  12. 12.Rohan has m balloons. A friend has 6 fewer. Which expression shows how many balloons the friend has? (a) 6m (b) m + 6 (c) m − 6 (d) m ÷ 6
  13. 13.Find the value of 2a + 4b when a = 3 and b = 6.
  14. 14.Solve: 6y = 36. What is y?
  15. 15.Find the value of 3a + 8b when a = 7 and b = 6.
  16. 16.Solve: m ÷ 10 = 5. What is m?
  17. 17.Find the value of 4y + 6 when y = 11.
  18. 18.Find the value of 7a + 3b when a = 1 and b = 5.
  19. 19.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
  20. 20.Find the value of 7a + 2b when a = 10 and b = 2.
  21. 21.Find the value of 7p + 18 when p = 7.
  22. 22.Solve: t + 3 = 16. What is t?
  23. 23.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
  24. 24.Find the value of 4t + 3 when t = 11.
  25. 25.Find the value of 3m + 15 when m = 10.
  26. 26.Find the value of 8a + 7b when a = 6 and b = 4.
  27. 27.Find the value of 2a + 7b when a = 4 and b = 9.
  28. 28.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
  29. 29.Kabir has k mangoes. A friend has 8 fewer. Which expression shows how many mangoes the friend has? (a) k ÷ 8 (b) k + 8 (c) k − 8 (d) 8k
  30. 30.Find the value of 8n − 12 when n = 10.
  31. 31.Solve: 9y = 36. What is y?
  32. 32.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
  33. 33.Solve: n ÷ 12 = 1. What is n?
  34. 34.Find the value of 8y − 7 when y = 9.
  35. 35.Zoya shares n shells equally among 2 friends. Which expression shows how many shells each friend gets? (a) n + 2 (b) n − 2 (c) n ÷ 2 (d) 2n
  36. 36.Find the value of 6n − 49 when n = 12.
  37. 37.Meera has p bananas. A friend has 2 more. Which expression shows how many bananas the friend has? (a) p + 2 (b) 2p (c) p − 2 (d) p ÷ 2
  38. 38.Find the value of 4a + 5b when a = 7 and b = 2.
  39. 39.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
  40. 40.Solve: 5t = 5. What is t?

Answer key

  1. 108
  2. 19
  3. 72
  4. 64
  5. 33
  6. 16
  7. 51
  8. 60
  9. 42
  10. 43
  11. 39
  12. m − 6
  13. 30
  14. 6
  15. 69
  16. 50
  17. 50
  18. 22
  19. 32
  20. 74
  21. 67
  22. 13
  23. 36
  24. 47
  25. 45
  26. 76
  27. 71
  28. 78
  29. k − 8
  30. 68
  31. 4
  32. 54
  33. 12
  34. 65
  35. n ÷ 2
  36. 23
  37. p + 2
  38. 38
  39. 15
  40. 1

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