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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 400 · 40 sums
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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 5x − 41 when x = 10.
  2. 2.Find the value of 9a + 4b when a = 1 and b = 2.
  3. 3.Solve: t − 3 = 2. What is t?
  4. 4.Solve: x − 5 = 12. What is x?
  5. 5.Find the value of 2y − 3 when y = 6.
  6. 6.Solve: 8x = 80. What is x?
  7. 7.Solve: t + 9 = 29. What is t?
  8. 8.Meera shares m flowers equally among 3 friends. Which expression shows how many flowers each friend gets? (a) m + 3 (b) m ÷ 3 (c) m − 3 (d) 3m
  9. 9.Find the value of 9a + 5b when a = 1 and b = 9.
  10. 10.Find the value of 4y + 9 when y = 11.
  11. 11.Find the value of 2t − 2 when t = 3.
  12. 12.Find the value of 5a + 7b when a = 1 and b = 2.
  13. 13.Find the value of 2a + 5b when a = 5 and b = 9.
  14. 14.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
  15. 15.Find the value of 8a + 3b when a = 4 and b = 1.
  16. 16.Solve: x + 5 = 14. What is x?
  17. 17.Find the value of 3a + 7b when a = 6 and b = 9.
  18. 18.Solve: 12y = 144. What is y?
  19. 19.Find the value of 8a + 8b when a = 3 and b = 1.
  20. 20.Joseph has m balls. A friend has 8 fewer. Which expression shows how many balls the friend has? (a) m + 8 (b) 8m (c) m ÷ 8 (d) m − 8
  21. 21.Find the value of 3x − 16 when x = 10.
  22. 22.Find the value of 5a + 3b when a = 9 and b = 2.
  23. 23.Find the value of 6t + 7 when t = 11.
  24. 24.Pooja shares p balloons equally among 2 friends. Which expression shows how many balloons each friend gets? (a) p + 2 (b) p ÷ 2 (c) 2p (d) p − 2
  25. 25.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
  26. 26.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
  27. 27.Solve: n − 10 = 6. What is n?
  28. 28.Find the value of 3a + 4b when a = 2 and b = 1.
  29. 29.Find the value of 6a + 2b when a = 5 and b = 10.
  30. 30.Solve: m ÷ 7 = 20. What is m?
  31. 31.Solve: t + 4 = 12. What is t?
  32. 32.Aarav has k pencils. A friend has 4 times as many. Which expression shows how many pencils the friend has? (a) k + 4 (b) 4k (c) k − 4 (d) k ÷ 4
  33. 33.Find the value of 5a + 2b when a = 6 and b = 1.
  34. 34.Find the value of 9t + 7 when t = 10.
  35. 35.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  36. 36.Solve: y − 2 = 2. What is y?
  37. 37.Solve: 2m = 38. What is m?
  38. 38.Solve: p + 10 = 21. What is p?
  39. 39.Find the value of 2a + 6b when a = 8 and b = 3.
  40. 40.Solve: m − 3 = 9. What is m?

Answer key

  1. 9
  2. 17
  3. 5
  4. 17
  5. 9
  6. 10
  7. 20
  8. m ÷ 3
  9. 54
  10. 53
  11. 4
  12. 19
  13. 55
  14. 30
  15. 35
  16. 9
  17. 81
  18. 12
  19. 32
  20. m − 8
  21. 14
  22. 51
  23. 73
  24. p ÷ 2
  25. 15
  26. 18
  27. 16
  28. 10
  29. 50
  30. 140
  31. 8
  32. 4k
  33. 32
  34. 97
  35. 27
  36. 4
  37. 19
  38. 11
  39. 34
  40. 12

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