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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 597 · 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 3p − 3 when p = 4.
  2. 2.Find the value of 9a + 6b when a = 3 and b = 7.
  3. 3.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
  4. 4.Find the value of 6a + 5b when a = 10 and b = 2.
  5. 5.Find the value of 7x − 12 when x = 11.
  6. 6.Find the value of 5a + 4b when a = 9 and b = 6.
  7. 7.Find the value of 3y + 9 when y = 12.
  8. 8.Find the value of 7p − 9 when p = 6.
  9. 9.Solve: m − 5 = 14. What is m?
  10. 10.Zoya has n kites. A friend has 3 more. Which expression shows how many kites the friend has? (a) n − 3 (b) 3n (c) n ÷ 3 (d) n + 3
  11. 11.Find the value of 3y − 2 when y = 1.
  12. 12.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 20 letters?
  13. 13.Find the value of 6t − 48 when t = 10.
  14. 14.Rahul has k books. A friend has 5 more. Which expression shows how many books the friend has? (a) k − 5 (b) 5k (c) k ÷ 5 (d) k + 5
  15. 15.Solve: 3x = 12. What is x?
  16. 16.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
  17. 17.Find the value of 9m + 12 when m = 3.
  18. 18.Solve: 8x = 64. What is x?
  19. 19.Find the value of 2y − 1 when y = 2.
  20. 20.Solve: n + 2 = 19. What is n?
  21. 21.Find the value of 3a + 7b when a = 1 and b = 3.
  22. 22.Find the value of 2a + 2b when a = 6 and b = 1.
  23. 23.Solve: t − 5 = 2. What is t?
  24. 24.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
  25. 25.Manav shares p bananas equally among 8 friends. Which expression shows how many bananas each friend gets? (a) p + 8 (b) p ÷ 8 (c) p − 8 (d) 8p
  26. 26.Find the value of 9a + 3b when a = 10 and b = 1.
  27. 27.Solve: 11m = 143. What is m?
  28. 28.Find the value of 3a + 2b when a = 5 and b = 7.
  29. 29.Ananya has n shells. A friend has 3 fewer. Which expression shows how many shells the friend has? (a) n + 3 (b) n − 3 (c) 3n (d) n ÷ 3
  30. 30.Find the value of 6x + 1 when x = 1.
  31. 31.Find the value of 8x − 10 when x = 3.
  32. 32.Tara has n balls. A friend has 8 fewer. Which expression shows how many balls the friend has? (a) n + 8 (b) n − 8 (c) n ÷ 8 (d) 8n
  33. 33.Manav has n shells. A friend has 5 more. Which expression shows how many shells the friend has? (a) 5n (b) n ÷ 5 (c) n + 5 (d) n − 5
  34. 34.Aarav has k mangoes. A friend has 6 more. Which expression shows how many mangoes the friend has? (a) k ÷ 6 (b) k − 6 (c) k + 6 (d) 6k
  35. 35.Solve: y + 3 = 8. What is y?
  36. 36.Solve: 9m = 153. What is m?
  37. 37.Solve: m + 6 = 11. What is m?
  38. 38.Find the value of 3a + 2b when a = 2 and b = 3.
  39. 39.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
  40. 40.Solve: 3y = 60. What is y?

Answer key

  1. 9
  2. 69
  3. 60
  4. 70
  5. 65
  6. 69
  7. 45
  8. 33
  9. 19
  10. n + 3
  11. 1
  12. 80
  13. 12
  14. k + 5
  15. 4
  16. 66
  17. 39
  18. 8
  19. 3
  20. 17
  21. 24
  22. 14
  23. 7
  24. 22
  25. p ÷ 8
  26. 93
  27. 13
  28. 29
  29. n − 3
  30. 7
  31. 14
  32. n − 8
  33. n + 5
  34. k + 6
  35. 5
  36. 17
  37. 5
  38. 12
  39. 46
  40. 20

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