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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 431 · 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: t ÷ 12 = 5. What is t?
  2. 2.Find the value of 3y − 10 when y = 9.
  3. 3.Priya has m crayons. A friend has 3 times as many. Which expression shows how many crayons the friend has? (a) 3m (b) m − 3 (c) m ÷ 3 (d) m + 3
  4. 4.Find the value of 3a + 7b when a = 3 and b = 7.
  5. 5.Find the value of 4x − 13 when x = 6.
  6. 6.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
  7. 7.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
  8. 8.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
  9. 9.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
  10. 10.Find the value of 4a + 7b when a = 2 and b = 9.
  11. 11.Solve: m − 2 = 2. What is m?
  12. 12.Find the value of 6n − 7 when n = 5.
  13. 13.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
  14. 14.Find the value of 5t − 41 when t = 9.
  15. 15.Find the value of 2a + 2b when a = 6 and b = 1.
  16. 16.Find the value of 5n + 5 when n = 7.
  17. 17.Solve: m + 5 = 11. What is m?
  18. 18.Find the value of 5a + 3b when a = 8 and b = 2.
  19. 19.Solve: m + 12 = 21. What is m?
  20. 20.Find the value of 7a + 9b when a = 10 and b = 10.
  21. 21.Solve: n ÷ 11 = 7. What is n?
  22. 22.Find the value of 3a + 6b when a = 1 and b = 6.
  23. 23.Solve: 4t = 76. What is t?
  24. 24.Solve: 5y = 15. What is y?
  25. 25.Find the value of 4y + 9 when y = 2.
  26. 26.Find the value of 7a + 9b when a = 5 and b = 10.
  27. 27.Find the value of 8t − 37 when t = 12.
  28. 28.Solve: t − 3 = 1. What is t?
  29. 29.Find the value of 4y − 2 when y = 4.
  30. 30.Vivaan shares k kites equally among 2 friends. Which expression shows how many kites each friend gets? (a) k − 2 (b) 2k (c) k ÷ 2 (d) k + 2
  31. 31.Find the value of 9n + 18 when n = 2.
  32. 32.Find the value of 5n + 1 when n = 3.
  33. 33.Zoya has m flowers. A friend has 5 more. Which expression shows how many flowers the friend has? (a) m − 5 (b) m + 5 (c) 5m (d) m ÷ 5
  34. 34.Find the value of 3a + 4b when a = 1 and b = 2.
  35. 35.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
  36. 36.Find the value of 9a + 5b when a = 5 and b = 2.
  37. 37.Find the value of 6a + 7b when a = 9 and b = 4.
  38. 38.Solve: t ÷ 9 = 7. What is t?
  39. 39.Find the value of 9y − 15 when y = 5.
  40. 40.Solve: n + 3 = 20. What is n?

Answer key

  1. 60
  2. 17
  3. 3m
  4. 58
  5. 11
  6. 12
  7. 16
  8. 39
  9. 81
  10. 71
  11. 4
  12. 23
  13. 36
  14. 4
  15. 14
  16. 40
  17. 6
  18. 46
  19. 9
  20. 160
  21. 77
  22. 39
  23. 19
  24. 3
  25. 17
  26. 125
  27. 59
  28. 4
  29. 14
  30. k ÷ 2
  31. 36
  32. 16
  33. m + 5
  34. 11
  35. 18
  36. 55
  37. 82
  38. 63
  39. 30
  40. 17

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