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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 174 · 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 9a + 9b when a = 6 and b = 4.
  2. 2.Find the value of 5a + 4b when a = 8 and b = 3.
  3. 3.Solve: t ÷ 10 = 9. What is t?
  4. 4.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
  5. 5.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
  6. 6.Find the value of 9t + 14 when t = 1.
  7. 7.Solve: n + 11 = 30. What is n?
  8. 8.Find the value of 4m + 5 when m = 10.
  9. 9.Find the value of 7a + 4b when a = 10 and b = 4.
  10. 10.Find the value of 6a + 3b when a = 3 and b = 7.
  11. 11.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
  12. 12.Find the value of 4a + 9b when a = 3 and b = 10.
  13. 13.Solve: 12m = 60. What is m?
  14. 14.Tara has n laddoos. A friend has 2 more. Which expression shows how many laddoos the friend has? (a) n ÷ 2 (b) 2n (c) n − 2 (d) n + 2
  15. 15.Solve: y + 2 = 7. What is y?
  16. 16.Solve: y − 7 = 17. What is y?
  17. 17.Vivaan has k balloons. A friend has 6 times as many. Which expression shows how many balloons the friend has? (a) k − 6 (b) k ÷ 6 (c) k + 6 (d) 6k
  18. 18.Find the value of 2x + 11 when x = 11.
  19. 19.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
  20. 20.Find the value of 8a + 4b when a = 6 and b = 2.
  21. 21.Find the value of 4p + 14 when p = 7.
  22. 22.Find the value of 5p − 5 when p = 11.
  23. 23.Find the value of 9n − 11 when n = 2.
  24. 24.Find the value of 6a + 4b when a = 2 and b = 1.
  25. 25.Solve: 12y = 192. What is y?
  26. 26.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
  27. 27.Find the value of 5p + 13 when p = 4.
  28. 28.Kabir has n laddoos. A friend has 2 times as many. Which expression shows how many laddoos the friend has? (a) n ÷ 2 (b) n − 2 (c) n + 2 (d) 2n
  29. 29.Find the value of 8t + 15 when t = 9.
  30. 30.Find the value of 7y + 11 when y = 5.
  31. 31.Find the value of 2a + 8b when a = 9 and b = 2.
  32. 32.Find the value of 5a + 6b when a = 6 and b = 2.
  33. 33.Joseph has p pencils. A friend has 3 fewer. Which expression shows how many pencils the friend has? (a) p + 3 (b) p − 3 (c) p ÷ 3 (d) 3p
  34. 34.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 9 letters?
  35. 35.Tara shares m mangoes equally among 8 friends. Which expression shows how many mangoes each friend gets? (a) 8m (b) m ÷ 8 (c) m − 8 (d) m + 8
  36. 36.Solve: n − 11 = 20. What is n?
  37. 37.Find the value of 9t + 19 when t = 1.
  38. 38.Solve: x ÷ 3 = 6. What is x?
  39. 39.Solve: t + 9 = 24. What is t?
  40. 40.Solve: n − 6 = 4. What is n?

Answer key

  1. 90
  2. 52
  3. 90
  4. 57
  5. 15
  6. 23
  7. 19
  8. 45
  9. 86
  10. 39
  11. 34
  12. 102
  13. 5
  14. n + 2
  15. 5
  16. 24
  17. 6k
  18. 33
  19. 60
  20. 56
  21. 42
  22. 50
  23. 7
  24. 16
  25. 16
  26. 81
  27. 33
  28. 2n
  29. 87
  30. 46
  31. 34
  32. 42
  33. p − 3
  34. 36
  35. m ÷ 8
  36. 31
  37. 28
  38. 18
  39. 15
  40. 10

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