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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 45 · 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: 3p = 15. What is p?
  2. 2.Find the value of 2m + 12 when m = 9.
  3. 3.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  4. 4.Find the value of 4a + 3b when a = 9 and b = 6.
  5. 5.Solve: y + 12 = 17. What is y?
  6. 6.Find the value of 9a + 8b when a = 6 and b = 9.
  7. 7.Find the value of 9a + 6b when a = 6 and b = 10.
  8. 8.Find the value of 5a + 2b when a = 3 and b = 10.
  9. 9.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
  10. 10.Solve: y − 7 = 2. What is y?
  11. 11.Find the value of 7y + 10 when y = 10.
  12. 12.Solve: t − 8 = 1. What is t?
  13. 13.Solve: n ÷ 6 = 15. What is n?
  14. 14.Solve: y ÷ 3 = 10. What is y?
  15. 15.Solve: 12m = 72. What is m?
  16. 16.Find the value of 7x + 5 when x = 4.
  17. 17.Solve: 4t = 64. What is t?
  18. 18.Karan has k marbles. A friend has 7 fewer. Which expression shows how many marbles the friend has? (a) k − 7 (b) k ÷ 7 (c) 7k (d) k + 7
  19. 19.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
  20. 20.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
  21. 21.Saanvi has p flowers. A friend has 3 times as many. Which expression shows how many flowers the friend has? (a) p − 3 (b) p + 3 (c) p ÷ 3 (d) 3p
  22. 22.Find the value of 2a + 3b when a = 4 and b = 2.
  23. 23.Karan shares k kites equally among 3 friends. Which expression shows how many kites each friend gets? (a) k ÷ 3 (b) 3k (c) k − 3 (d) k + 3
  24. 24.Find the value of 9y + 9 when y = 10.
  25. 25.Find the value of 7a + 4b when a = 2 and b = 8.
  26. 26.Solve: 2n = 8. What is n?
  27. 27.Nisha has k balloons. A friend has 6 more. Which expression shows how many balloons the friend has? (a) 6k (b) k ÷ 6 (c) k − 6 (d) k + 6
  28. 28.Find the value of 2a + 2b when a = 1 and b = 5.
  29. 29.Find the value of 4x + 18 when x = 6.
  30. 30.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
  31. 31.Solve: t + 7 = 12. What is t?
  32. 32.Find the value of 3a + 3b when a = 6 and b = 7.
  33. 33.Find the value of 8a + 4b when a = 3 and b = 10.
  34. 34.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
  35. 35.Solve: p + 2 = 22. What is p?
  36. 36.Find the value of 6a + 5b when a = 4 and b = 8.
  37. 37.Solve: m + 4 = 10. What is m?
  38. 38.Saanvi shares p shells equally among 6 friends. Which expression shows how many shells each friend gets? (a) 6p (b) p ÷ 6 (c) p − 6 (d) p + 6
  39. 39.Find the value of 2a + 2b when a = 7 and b = 2.
  40. 40.Farhan shares k bananas equally among 8 friends. Which expression shows how many bananas each friend gets? (a) k ÷ 8 (b) k − 8 (c) k + 8 (d) 8k

Answer key

  1. 5
  2. 30
  3. 27
  4. 54
  5. 5
  6. 126
  7. 114
  8. 35
  9. 21
  10. 9
  11. 80
  12. 9
  13. 90
  14. 30
  15. 6
  16. 33
  17. 16
  18. k − 7
  19. 60
  20. 78
  21. 3p
  22. 14
  23. k ÷ 3
  24. 99
  25. 46
  26. 4
  27. k + 6
  28. 12
  29. 42
  30. 66
  31. 5
  32. 39
  33. 64
  34. 16
  35. 20
  36. 64
  37. 6
  38. p ÷ 6
  39. 18
  40. k ÷ 8

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