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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 405 · 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 7t + 5 when t = 2.
  2. 2.Solve: y + 5 = 11. What is y?
  3. 3.Find the value of 7x + 18 when x = 1.
  4. 4.Solve: m + 9 = 27. What is m?
  5. 5.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
  6. 6.Find the value of 3y + 15 when y = 11.
  7. 7.Find the value of 5a + 2b when a = 3 and b = 8.
  8. 8.Solve: n + 6 = 22. What is n?
  9. 9.Solve: t + 7 = 9. What is t?
  10. 10.Find the value of 4a + 6b when a = 2 and b = 6.
  11. 11.Solve: 3n = 18. What is n?
  12. 12.Isha has p marbles. A friend has 5 more. Which expression shows how many marbles the friend has? (a) p ÷ 5 (b) p + 5 (c) 5p (d) p − 5
  13. 13.Find the value of 2y − 1 when y = 10.
  14. 14.Solve: p ÷ 3 = 13. What is p?
  15. 15.Find the value of 5m − 41 when m = 12.
  16. 16.Solve: t ÷ 7 = 8. What is t?
  17. 17.Solve: x ÷ 3 = 4. What is x?
  18. 18.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
  19. 19.Find the value of 6a + 4b when a = 9 and b = 7.
  20. 20.Find the value of 8a + 2b when a = 7 and b = 8.
  21. 21.Find the value of 7m − 28 when m = 11.
  22. 22.Find the value of 3a + 3b when a = 8 and b = 6.
  23. 23.Find the value of 4a + 9b when a = 5 and b = 8.
  24. 24.Solve: t − 10 = 14. What is t?
  25. 25.Vivaan has n shells. A friend has 6 fewer. Which expression shows how many shells the friend has? (a) 6n (b) n + 6 (c) n − 6 (d) n ÷ 6
  26. 26.Find the value of 9a + 5b when a = 8 and b = 3.
  27. 27.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
  28. 28.Rahul has m balls. A friend has 9 more. Which expression shows how many balls the friend has? (a) m − 9 (b) m + 9 (c) m ÷ 9 (d) 9m
  29. 29.Find the value of 6a + 9b when a = 5 and b = 5.
  30. 30.Find the value of 3x − 3 when x = 2.
  31. 31.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
  32. 32.Find the value of 5a + 8b when a = 10 and b = 7.
  33. 33.Find the value of 5y + 5 when y = 1.
  34. 34.Isha has p kites. A friend has 9 fewer. Which expression shows how many kites the friend has? (a) p ÷ 9 (b) 9p (c) p − 9 (d) p + 9
  35. 35.Find the value of 7a + 6b when a = 6 and b = 8.
  36. 36.Solve: m + 12 = 20. What is m?
  37. 37.Solve: n − 6 = 18. What is n?
  38. 38.Find the value of 6x − 43 when x = 10.
  39. 39.Find the value of 4n + 10 when n = 7.
  40. 40.Aarav has n books. A friend has 9 fewer. Which expression shows how many books the friend has? (a) n ÷ 9 (b) 9n (c) n + 9 (d) n − 9

Answer key

  1. 19
  2. 6
  3. 25
  4. 18
  5. 39
  6. 48
  7. 31
  8. 16
  9. 2
  10. 44
  11. 6
  12. p + 5
  13. 19
  14. 39
  15. 19
  16. 56
  17. 12
  18. 42
  19. 82
  20. 72
  21. 49
  22. 42
  23. 92
  24. 24
  25. n − 6
  26. 87
  27. 63
  28. m + 9
  29. 75
  30. 3
  31. 30
  32. 106
  33. 10
  34. p − 9
  35. 90
  36. 8
  37. 24
  38. 17
  39. 38
  40. n − 9

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