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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 402 · 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 6p − 16 when p = 3.
  2. 2.Find the value of 8y − 1 when y = 3.
  3. 3.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
  4. 4.Find the value of 5x − 24 when x = 7.
  5. 5.Solve: 8m = 112. What is m?
  6. 6.Solve: n + 2 = 14. What is n?
  7. 7.Find the value of 7a + 8b when a = 8 and b = 10.
  8. 8.Find the value of 9n − 8 when n = 5.
  9. 9.Find the value of 7y + 20 when y = 2.
  10. 10.Find the value of 8p + 10 when p = 9.
  11. 11.Find the value of 9p − 33 when p = 5.
  12. 12.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
  13. 13.Find the value of 7x − 12 when x = 11.
  14. 14.Find the value of 8a + 3b when a = 5 and b = 1.
  15. 15.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
  16. 16.Find the value of 3x − 1 when x = 1.
  17. 17.Find the value of 9t + 12 when t = 7.
  18. 18.Solve: p + 11 = 30. What is p?
  19. 19.Find the value of 8x − 12 when x = 9.
  20. 20.Solve: 3x = 42. What is x?
  21. 21.Find the value of 9x − 9 when x = 4.
  22. 22.Find the value of 8x + 15 when x = 4.
  23. 23.Find the value of 3a + 2b when a = 2 and b = 4.
  24. 24.Solve: 7t = 84. What is t?
  25. 25.Pooja has m pencils. A friend has 7 times as many. Which expression shows how many pencils the friend has? (a) m − 7 (b) m + 7 (c) m ÷ 7 (d) 7m
  26. 26.Sneha has n marbles. A friend has 4 times as many. Which expression shows how many marbles the friend has? (a) n ÷ 4 (b) n − 4 (c) 4n (d) n + 4
  27. 27.Find the value of 4n + 7 when n = 7.
  28. 28.Find the value of 9x + 6 when x = 5.
  29. 29.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
  30. 30.Find the value of 4y + 5 when y = 5.
  31. 31.Find the value of 7n − 14 when n = 11.
  32. 32.Solve: p + 2 = 5. What is p?
  33. 33.Ishaan has p laddoos. A friend has 2 more. Which expression shows how many laddoos the friend has? (a) 2p (b) p − 2 (c) p ÷ 2 (d) p + 2
  34. 34.Find the value of 2p − 17 when p = 12.
  35. 35.Find the value of 4n − 20 when n = 9.
  36. 36.Find the value of 2a + 6b when a = 3 and b = 2.
  37. 37.Solve: x − 8 = 2. What is x?
  38. 38.Find the value of 7p + 3 when p = 7.
  39. 39.Find the value of 9y − 60 when y = 8.
  40. 40.Find the value of 4a + 9b when a = 10 and b = 4.

Answer key

  1. 2
  2. 23
  3. 48
  4. 11
  5. 14
  6. 12
  7. 136
  8. 37
  9. 34
  10. 82
  11. 12
  12. 52
  13. 65
  14. 43
  15. 24
  16. 2
  17. 75
  18. 19
  19. 60
  20. 14
  21. 27
  22. 47
  23. 14
  24. 12
  25. 7m
  26. 4n
  27. 35
  28. 51
  29. 63
  30. 25
  31. 63
  32. 3
  33. p + 2
  34. 7
  35. 16
  36. 18
  37. 10
  38. 52
  39. 12
  40. 76

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