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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 166 · 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 3a + 9b when a = 7 and b = 1.
  2. 2.Solve: t + 9 = 22. What is t?
  3. 3.Find the value of 2n − 1 when n = 4.
  4. 4.Solve: t ÷ 5 = 20. What is t?
  5. 5.Kabir has m marbles. A friend has 3 fewer. Which expression shows how many marbles the friend has? (a) m ÷ 3 (b) m − 3 (c) 3m (d) m + 3
  6. 6.Solve: n + 11 = 20. What is n?
  7. 7.Sneha shares k kites equally among 6 friends. Which expression shows how many kites each friend gets? (a) 6k (b) k − 6 (c) k + 6 (d) k ÷ 6
  8. 8.Solve: t + 10 = 12. What is t?
  9. 9.Solve: t ÷ 11 = 14. What is t?
  10. 10.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
  11. 11.Find the value of 3a + 3b when a = 3 and b = 9.
  12. 12.Find the value of 6a + 9b when a = 2 and b = 6.
  13. 13.Find the value of 7y − 4 when y = 2.
  14. 14.Solve: t ÷ 2 = 4. What is t?
  15. 15.Find the value of 7p + 10 when p = 7.
  16. 16.Ananya shares n marbles equally among 7 friends. Which expression shows how many marbles each friend gets? (a) n + 7 (b) n ÷ 7 (c) 7n (d) n − 7
  17. 17.Manav has n flowers. A friend has 2 fewer. Which expression shows how many flowers the friend has? (a) n − 2 (b) n ÷ 2 (c) 2n (d) n + 2
  18. 18.Pooja has k bananas. A friend has 3 fewer. Which expression shows how many bananas the friend has? (a) k − 3 (b) k ÷ 3 (c) k + 3 (d) 3k
  19. 19.Find the value of 2x + 10 when x = 1.
  20. 20.Solve: n ÷ 4 = 2. What is n?
  21. 21.Find the value of 3y − 23 when y = 8.
  22. 22.Solve: 6m = 84. What is m?
  23. 23.Manav has m laddoos. A friend has 5 fewer. Which expression shows how many laddoos the friend has? (a) m ÷ 5 (b) m + 5 (c) 5m (d) m − 5
  24. 24.Find the value of 6n + 1 when n = 10.
  25. 25.Ananya has n balloons. A friend has 2 times as many. Which expression shows how many balloons the friend has? (a) 2n (b) n − 2 (c) n ÷ 2 (d) n + 2
  26. 26.Solve: y − 9 = 9. What is y?
  27. 27.Find the value of 2x + 4 when x = 4.
  28. 28.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 27 letters?
  29. 29.Solve: 10y = 60. What is y?
  30. 30.Find the value of 8a + 3b when a = 8 and b = 3.
  31. 31.Find the value of 7n − 12 when n = 7.
  32. 32.Solve: y + 12 = 15. What is y?
  33. 33.Vivaan has m mangoes. A friend has 4 fewer. Which expression shows how many mangoes the friend has? (a) m + 4 (b) m − 4 (c) m ÷ 4 (d) 4m
  34. 34.Find the value of 5a + 8b when a = 6 and b = 4.
  35. 35.Find the value of 6y + 11 when y = 4.
  36. 36.Solve: y ÷ 10 = 17. What is y?
  37. 37.Pooja has k laddoos. A friend has 7 fewer. Which expression shows how many laddoos the friend has? (a) k + 7 (b) 7k (c) k ÷ 7 (d) k − 7
  38. 38.Find the value of 3n − 17 when n = 11.
  39. 39.Find the value of 5y − 12 when y = 11.
  40. 40.Find the value of 4n − 5 when n = 3.

Answer key

  1. 30
  2. 13
  3. 7
  4. 100
  5. m − 3
  6. 9
  7. k ÷ 6
  8. 2
  9. 154
  10. 57
  11. 36
  12. 66
  13. 10
  14. 8
  15. 59
  16. n ÷ 7
  17. n − 2
  18. k − 3
  19. 12
  20. 8
  21. 1
  22. 14
  23. m − 5
  24. 61
  25. 2n
  26. 18
  27. 12
  28. 108
  29. 6
  30. 73
  31. 37
  32. 3
  33. m − 4
  34. 62
  35. 35
  36. 170
  37. k − 7
  38. 16
  39. 43
  40. 7

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