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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 70 · 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: t + 7 = 24. What is t?
  2. 2.Find the value of 7a + 5b when a = 4 and b = 8.
  3. 3.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
  4. 4.Find the value of 3a + 6b when a = 1 and b = 10.
  5. 5.Kabir shares p flowers equally among 8 friends. Which expression shows how many flowers each friend gets? (a) 8p (b) p − 8 (c) p + 8 (d) p ÷ 8
  6. 6.Find the value of 3a + 8b when a = 1 and b = 3.
  7. 7.Find the value of 7t + 14 when t = 4.
  8. 8.Find the value of 5a + 5b when a = 6 and b = 4.
  9. 9.Solve: n − 12 = 5. What is n?
  10. 10.Solve: t ÷ 2 = 16. What is t?
  11. 11.Solve: y − 10 = 15. What is y?
  12. 12.Rohan has k pencils. A friend has 5 fewer. Which expression shows how many pencils the friend has? (a) 5k (b) k − 5 (c) k ÷ 5 (d) k + 5
  13. 13.Find the value of 4y − 23 when y = 8.
  14. 14.Solve: 3x = 18. What is x?
  15. 15.Find the value of 7a + 4b when a = 4 and b = 2.
  16. 16.Manav has n crayons. A friend has 7 times as many. Which expression shows how many crayons the friend has? (a) n + 7 (b) n − 7 (c) n ÷ 7 (d) 7n
  17. 17.Solve: 2y = 16. What is y?
  18. 18.Find the value of 6a + 6b when a = 7 and b = 6.
  19. 19.Solve: y − 12 = 8. What is y?
  20. 20.Farhan has m books. A friend has 9 fewer. Which expression shows how many books the friend has? (a) m ÷ 9 (b) 9m (c) m − 9 (d) m + 9
  21. 21.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
  22. 22.Karan shares p kites equally among 8 friends. Which expression shows how many kites each friend gets? (a) p − 8 (b) 8p (c) p ÷ 8 (d) p + 8
  23. 23.Find the value of 3a + 3b when a = 2 and b = 2.
  24. 24.Find the value of 2m + 15 when m = 4.
  25. 25.Find the value of 4a + 8b when a = 1 and b = 1.
  26. 26.Solve: n + 10 = 25. What is n?
  27. 27.Find the value of 6n − 4 when n = 1.
  28. 28.Solve: p ÷ 3 = 16. What is p?
  29. 29.Solve: x + 5 = 17. What is x?
  30. 30.Find the value of 4y + 18 when y = 2.
  31. 31.Find the value of 9m + 4 when m = 8.
  32. 32.Find the value of 2x + 17 when x = 6.
  33. 33.Find the value of 3n + 17 when n = 10.
  34. 34.Find the value of 4a + 7b when a = 5 and b = 4.
  35. 35.Solve: p + 7 = 24. What is p?
  36. 36.Find the value of 4n + 8 when n = 8.
  37. 37.Saanvi shares k mangoes equally among 5 friends. Which expression shows how many mangoes each friend gets? (a) k + 5 (b) k ÷ 5 (c) 5k (d) k − 5
  38. 38.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
  39. 39.Find the value of 8x − 30 when x = 5.
  40. 40.Meera shares n kites equally among 5 friends. Which expression shows how many kites each friend gets? (a) n + 5 (b) n ÷ 5 (c) 5n (d) n − 5

Answer key

  1. 17
  2. 68
  3. 48
  4. 63
  5. p ÷ 8
  6. 27
  7. 42
  8. 50
  9. 17
  10. 32
  11. 25
  12. k − 5
  13. 9
  14. 6
  15. 36
  16. 7n
  17. 8
  18. 78
  19. 20
  20. m − 9
  21. 81
  22. p ÷ 8
  23. 12
  24. 23
  25. 12
  26. 15
  27. 2
  28. 48
  29. 12
  30. 26
  31. 76
  32. 29
  33. 47
  34. 48
  35. 17
  36. 40
  37. k ÷ 5
  38. 21
  39. 10
  40. n ÷ 5

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