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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 484 · 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: m + 12 = 17. What is m?
  2. 2.Find the value of 9a + 6b when a = 7 and b = 3.
  3. 3.Solve: y ÷ 7 = 2. What is y?
  4. 4.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
  5. 5.Find the value of 5t + 14 when t = 8.
  6. 6.Find the value of 9a + 7b when a = 10 and b = 1.
  7. 7.Diya has n balls. A friend has 6 fewer. Which expression shows how many balls the friend has? (a) n ÷ 6 (b) 6n (c) n − 6 (d) n + 6
  8. 8.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
  9. 9.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
  10. 10.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
  11. 11.Find the value of 2a + 8b when a = 3 and b = 3.
  12. 12.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
  13. 13.Solve: p ÷ 2 = 10. What is p?
  14. 14.Find the value of 9m − 20 when m = 5.
  15. 15.Find the value of 9x + 10 when x = 9.
  16. 16.Find the value of 7m + 10 when m = 5.
  17. 17.Find the value of 9t + 3 when t = 8.
  18. 18.Solve: 4m = 36. What is m?
  19. 19.Diya has m pencils. A friend has 2 more. Which expression shows how many pencils the friend has? (a) m − 2 (b) 2m (c) m ÷ 2 (d) m + 2
  20. 20.Find the value of 6a + 2b when a = 9 and b = 7.
  21. 21.Find the value of 5a + 2b when a = 3 and b = 6.
  22. 22.Find the value of 7a + 3b when a = 1 and b = 1.
  23. 23.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
  24. 24.Find the value of 5t + 16 when t = 12.
  25. 25.Find the value of 9a + 6b when a = 1 and b = 9.
  26. 26.Find the value of 5a + 3b when a = 8 and b = 9.
  27. 27.Solve: t ÷ 11 = 13. What is t?
  28. 28.Find the value of 3a + 9b when a = 5 and b = 2.
  29. 29.Find the value of 5a + 9b when a = 3 and b = 4.
  30. 30.Find the value of 9a + 3b when a = 7 and b = 9.
  31. 31.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
  32. 32.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 14 letters?
  33. 33.Find the value of 3p + 2 when p = 4.
  34. 34.Find the value of 8t + 7 when t = 5.
  35. 35.Find the value of 6a + 2b when a = 10 and b = 7.
  36. 36.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
  37. 37.Find the value of 3x + 1 when x = 8.
  38. 38.Gurpreet has n kites. A friend has 5 fewer. Which expression shows how many kites the friend has? (a) n + 5 (b) n − 5 (c) n ÷ 5 (d) 5n
  39. 39.Diya has m balloons. A friend has 7 times as many. Which expression shows how many balloons the friend has? (a) m ÷ 7 (b) m − 7 (c) m + 7 (d) 7m
  40. 40.Find the value of 4x − 12 when x = 5.

Answer key

  1. 5
  2. 81
  3. 14
  4. 40
  5. 54
  6. 97
  7. n − 6
  8. 72
  9. 45
  10. 34
  11. 30
  12. 48
  13. 20
  14. 25
  15. 91
  16. 45
  17. 75
  18. 9
  19. m + 2
  20. 68
  21. 27
  22. 10
  23. 36
  24. 76
  25. 63
  26. 67
  27. 143
  28. 33
  29. 51
  30. 90
  31. 39
  32. 56
  33. 14
  34. 47
  35. 74
  36. 78
  37. 25
  38. n − 5
  39. 7m
  40. 8

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