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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 286 · 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.Nisha has n marbles. A friend has 9 times as many. Which expression shows how many marbles the friend has? (a) n − 9 (b) n + 9 (c) n ÷ 9 (d) 9n
  2. 2.Sneha has m balls. A friend has 3 fewer. Which expression shows how many balls the friend has? (a) m + 3 (b) m − 3 (c) 3m (d) m ÷ 3
  3. 3.Solve: t − 2 = 18. What is t?
  4. 4.Find the value of 6n + 11 when n = 11.
  5. 5.Solve: p ÷ 3 = 5. What is p?
  6. 6.Dev has p flowers. A friend has 3 more. Which expression shows how many flowers the friend has? (a) 3p (b) p ÷ 3 (c) p − 3 (d) p + 3
  7. 7.Find the value of 7m − 14 when m = 9.
  8. 8.Find the value of 5x − 26 when x = 11.
  9. 9.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
  10. 10.Find the value of 8a + 2b when a = 1 and b = 1.
  11. 11.Find the value of 2a + 2b when a = 10 and b = 3.
  12. 12.Solve: n ÷ 9 = 15. What is n?
  13. 13.Find the value of 2y + 15 when y = 11.
  14. 14.Find the value of 3a + 8b when a = 10 and b = 1.
  15. 15.Find the value of 9x + 13 when x = 8.
  16. 16.Solve: n + 7 = 23. What is n?
  17. 17.Solve: p + 6 = 10. What is p?
  18. 18.Find the value of 7a + 8b when a = 4 and b = 7.
  19. 19.Find the value of 6a + 2b when a = 10 and b = 8.
  20. 20.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
  21. 21.Find the value of 7n + 13 when n = 1.
  22. 22.Find the value of 2a + 4b when a = 8 and b = 1.
  23. 23.Solve: 5m = 60. What is m?
  24. 24.Find the value of 6y − 2 when y = 3.
  25. 25.Solve: y + 3 = 20. What is y?
  26. 26.Find the value of 8a + 3b when a = 6 and b = 1.
  27. 27.Karan has p balls. A friend has 4 times as many. Which expression shows how many balls the friend has? (a) p − 4 (b) p + 4 (c) 4p (d) p ÷ 4
  28. 28.Find the value of 8a + 7b when a = 7 and b = 3.
  29. 29.Saanvi has k mangoes. A friend has 8 fewer. Which expression shows how many mangoes the friend has? (a) k + 8 (b) 8k (c) k − 8 (d) k ÷ 8
  30. 30.Joseph has k kites. A friend has 2 fewer. Which expression shows how many kites the friend has? (a) k − 2 (b) k ÷ 2 (c) 2k (d) k + 2
  31. 31.Find the value of 7m − 28 when m = 5.
  32. 32.Solve: t − 12 = 20. What is t?
  33. 33.Find the value of 7t + 3 when t = 3.
  34. 34.Manav has m pencils. A friend has 3 times as many. Which expression shows how many pencils the friend has? (a) m − 3 (b) m ÷ 3 (c) 3m (d) m + 3
  35. 35.Find the value of 9a + 4b when a = 7 and b = 2.
  36. 36.Find the value of 6p + 12 when p = 5.
  37. 37.Find the value of 9x − 9 when x = 2.
  38. 38.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 23 letters?
  39. 39.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
  40. 40.Solve: 9n = 171. What is n?

Answer key

  1. 9n
  2. m − 3
  3. 20
  4. 77
  5. 15
  6. p + 3
  7. 49
  8. 29
  9. 52
  10. 10
  11. 26
  12. 135
  13. 37
  14. 38
  15. 85
  16. 16
  17. 4
  18. 84
  19. 76
  20. 33
  21. 20
  22. 20
  23. 12
  24. 16
  25. 17
  26. 51
  27. 4p
  28. 77
  29. k − 8
  30. k − 2
  31. 7
  32. 32
  33. 24
  34. 3m
  35. 71
  36. 42
  37. 9
  38. 92
  39. 24
  40. 19

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