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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 478 · 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 5m + 1 when m = 7.
  2. 2.Solve: n ÷ 5 = 13. What is n?
  3. 3.Solve: p + 7 = 20. What is p?
  4. 4.Solve: m + 6 = 8. What is m?
  5. 5.Find the value of 7a + 3b when a = 5 and b = 7.
  6. 6.Find the value of 5n − 10 when n = 12.
  7. 7.Zoya has k balloons. A friend has 3 times as many. Which expression shows how many balloons the friend has? (a) k ÷ 3 (b) k + 3 (c) k − 3 (d) 3k
  8. 8.Find the value of 5x − 25 when x = 11.
  9. 9.Find the value of 4x − 24 when x = 12.
  10. 10.Solve: x − 8 = 13. What is x?
  11. 11.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
  12. 12.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
  13. 13.Find the value of 8a + 8b when a = 10 and b = 6.
  14. 14.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 17 letters?
  15. 15.Find the value of 7m − 54 when m = 8.
  16. 16.Find the value of 6a + 6b when a = 7 and b = 1.
  17. 17.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
  18. 18.Solve: p + 7 = 27. What is p?
  19. 19.Solve: m ÷ 8 = 1. What is m?
  20. 20.Find the value of 4y + 10 when y = 9.
  21. 21.Solve: n + 5 = 10. What is n?
  22. 22.Find the value of 4a + 3b when a = 10 and b = 9.
  23. 23.Find the value of 7t + 3 when t = 4.
  24. 24.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
  25. 25.Find the value of 2t + 9 when t = 7.
  26. 26.Farhan has m balloons. A friend has 7 more. Which expression shows how many balloons the friend has? (a) m ÷ 7 (b) m − 7 (c) m + 7 (d) 7m
  27. 27.Solve: p + 4 = 16. What is p?
  28. 28.Solve: n + 2 = 22. What is n?
  29. 29.Joseph has n pencils. A friend has 8 more. Which expression shows how many pencils the friend has? (a) 8n (b) n − 8 (c) n ÷ 8 (d) n + 8
  30. 30.Find the value of 8a + 8b when a = 8 and b = 7.
  31. 31.Find the value of 4a + 3b when a = 9 and b = 1.
  32. 32.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
  33. 33.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
  34. 34.Find the value of 7t − 6 when t = 2.
  35. 35.Isha shares m pencils equally among 7 friends. Which expression shows how many pencils each friend gets? (a) m ÷ 7 (b) m − 7 (c) m + 7 (d) 7m
  36. 36.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
  37. 37.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
  38. 38.Find the value of 9a + 8b when a = 10 and b = 9.
  39. 39.Find the value of 4y − 4 when y = 11.
  40. 40.Find the value of 3a + 5b when a = 4 and b = 2.

Answer key

  1. 36
  2. 65
  3. 13
  4. 2
  5. 56
  6. 50
  7. 3k
  8. 30
  9. 24
  10. 21
  11. 39
  12. 36
  13. 128
  14. 68
  15. 2
  16. 48
  17. 42
  18. 20
  19. 8
  20. 46
  21. 5
  22. 67
  23. 31
  24. 14
  25. 23
  26. m + 7
  27. 12
  28. 20
  29. n + 8
  30. 120
  31. 39
  32. 63
  33. 12
  34. 8
  35. m ÷ 7
  36. 75
  37. 24
  38. 162
  39. 40
  40. 22

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