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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 183 · 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 + 7b when a = 10 and b = 8.
  2. 2.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
  3. 3.Find the value of 4a + 6b when a = 10 and b = 8.
  4. 4.Find the value of 2x + 19 when x = 7.
  5. 5.Solve: n + 3 = 20. What is n?
  6. 6.Find the value of 6p + 7 when p = 10.
  7. 7.Find the value of 7a + 4b when a = 7 and b = 7.
  8. 8.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 5 letters?
  9. 9.Find the value of 7a + 5b when a = 5 and b = 1.
  10. 10.Find the value of 3a + 5b when a = 6 and b = 6.
  11. 11.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
  12. 12.Find the value of 2t − 7 when t = 7.
  13. 13.Find the value of 9p − 19 when p = 3.
  14. 14.Solve: y − 11 = 6. What is y?
  15. 15.Find the value of 2n − 13 when n = 7.
  16. 16.Saanvi has p balls. A friend has 4 more. Which expression shows how many balls the friend has? (a) p − 4 (b) p + 4 (c) p ÷ 4 (d) 4p
  17. 17.Diya has k books. A friend has 8 fewer. Which expression shows how many books the friend has? (a) k ÷ 8 (b) k + 8 (c) k − 8 (d) 8k
  18. 18.Find the value of 3p − 1 when p = 4.
  19. 19.Solve: x + 2 = 3. What is x?
  20. 20.Aarav has p flowers. A friend has 7 times as many. Which expression shows how many flowers the friend has? (a) p + 7 (b) 7p (c) p ÷ 7 (d) p − 7
  21. 21.Aditya shares n shells equally among 6 friends. Which expression shows how many shells each friend gets? (a) 6n (b) n ÷ 6 (c) n − 6 (d) n + 6
  22. 22.Solve: x + 12 = 22. What is x?
  23. 23.Solve: x + 2 = 22. What is x?
  24. 24.Solve: n − 9 = 14. What is n?
  25. 25.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
  26. 26.Solve: x ÷ 5 = 2. What is x?
  27. 27.Find the value of 4a + 3b when a = 4 and b = 4.
  28. 28.Solve: p − 12 = 17. What is p?
  29. 29.Find the value of 3n + 19 when n = 6.
  30. 30.Rahul has n marbles. A friend has 3 fewer. Which expression shows how many marbles the friend has? (a) 3n (b) n + 3 (c) n ÷ 3 (d) n − 3
  31. 31.Find the value of 7a + 3b when a = 8 and b = 1.
  32. 32.Joseph has n kites. A friend has 9 more. Which expression shows how many kites the friend has? (a) n − 9 (b) n + 9 (c) 9n (d) n ÷ 9
  33. 33.Manav shares m marbles equally among 7 friends. Which expression shows how many marbles each friend gets? (a) m + 7 (b) m − 7 (c) 7m (d) m ÷ 7
  34. 34.Pooja has k balloons. A friend has 7 fewer. Which expression shows how many balloons the friend has? (a) k + 7 (b) k ÷ 7 (c) 7k (d) k − 7
  35. 35.Solve: 12t = 60. What is t?
  36. 36.Find the value of 6p − 16 when p = 10.
  37. 37.Solve: 2m = 6. What is m?
  38. 38.Solve: p ÷ 10 = 10. What is p?
  39. 39.Solve: x ÷ 3 = 11. What is x?
  40. 40.Solve: y − 11 = 1. What is y?

Answer key

  1. 146
  2. 42
  3. 88
  4. 33
  5. 17
  6. 67
  7. 77
  8. 20
  9. 40
  10. 48
  11. 30
  12. 7
  13. 8
  14. 17
  15. 1
  16. p + 4
  17. k − 8
  18. 11
  19. 1
  20. 7p
  21. n ÷ 6
  22. 10
  23. 20
  24. 23
  25. 10
  26. 10
  27. 28
  28. 29
  29. 37
  30. n − 3
  31. 59
  32. n + 9
  33. m ÷ 7
  34. k − 7
  35. 5
  36. 44
  37. 3
  38. 100
  39. 33
  40. 12

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