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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 298 · 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.

NameDateTime takenScore ___ / 40
  1. 1.Dev has n flowers. A friend has 5 more. Which expression shows how many flowers the friend has? (a) n ÷ 5 (b) n − 5 (c) 5n (d) n + 5
  2. 2.Find the value of 6a + 5b when a = 6 and b = 7.
  3. 3.Find the value of 7a + 6b when a = 4 and b = 2.
  4. 4.Vivaan has p laddoos. A friend has 4 fewer. Which expression shows how many laddoos the friend has? (a) p + 4 (b) p − 4 (c) p ÷ 4 (d) 4p
  5. 5.Solve: y ÷ 5 = 17. What is y?
  6. 6.Find the value of 3a + 8b when a = 8 and b = 9.
  7. 7.Find the value of 4m + 15 when m = 10.
  8. 8.Find the value of 8a + 8b when a = 2 and b = 8.
  9. 9.Aditya shares p books equally among 3 friends. Which expression shows how many books each friend gets? (a) p ÷ 3 (b) 3p (c) p − 3 (d) p + 3
  10. 10.Saanvi has k flowers. A friend has 8 more. Which expression shows how many flowers the friend has? (a) 8k (b) k − 8 (c) k ÷ 8 (d) k + 8
  11. 11.Solve: y + 10 = 25. What is y?
  12. 12.Solve: x − 5 = 18. What is x?
  13. 13.Find the value of 8n − 6 when n = 3.
  14. 14.Solve: x − 9 = 16. What is x?
  15. 15.Find the value of 3y − 1 when y = 5.
  16. 16.Solve: x ÷ 2 = 11. What is x?
  17. 17.Solve: y ÷ 9 = 15. What is y?
  18. 18.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
  19. 19.Solve: 4x = 64. What is x?
  20. 20.Find the value of 4x + 14 when x = 12.
  21. 21.Find the value of 6m − 5 when m = 1.
  22. 22.Find the value of 3p + 9 when p = 10.
  23. 23.Find the value of 7y + 2 when y = 7.
  24. 24.Find the value of 5a + 3b when a = 8 and b = 1.
  25. 25.Dev has m bananas. A friend has 9 more. Which expression shows how many bananas the friend has? (a) m − 9 (b) m ÷ 9 (c) 9m (d) m + 9
  26. 26.Solve: m ÷ 5 = 17. What is m?
  27. 27.Arjun has m flowers. A friend has 4 fewer. Which expression shows how many flowers the friend has? (a) 4m (b) m ÷ 4 (c) m − 4 (d) m + 4
  28. 28.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
  29. 29.Find the value of 4y − 6 when y = 5.
  30. 30.Find the value of 5p + 3 when p = 12.
  31. 31.Find the value of 2x + 10 when x = 5.
  32. 32.Solve: x − 5 = 17. What is x?
  33. 33.Solve: p ÷ 4 = 13. What is p?
  34. 34.Rohan has p mangoes. A friend has 2 fewer. Which expression shows how many mangoes the friend has? (a) p + 2 (b) p ÷ 2 (c) 2p (d) p − 2
  35. 35.Find the value of 6m + 6 when m = 3.
  36. 36.Solve: m ÷ 6 = 14. What is m?
  37. 37.Rohan has k balloons. A friend has 5 more. Which expression shows how many balloons the friend has? (a) k + 5 (b) k ÷ 5 (c) k − 5 (d) 5k
  38. 38.Manav has p books. A friend has 6 times as many. Which expression shows how many books the friend has? (a) p + 6 (b) 6p (c) p ÷ 6 (d) p − 6
  39. 39.Solve: x − 12 = 9. What is x?
  40. 40.Find the value of 9x − 46 when x = 6.

Answer key

  1. n + 5
  2. 71
  3. 40
  4. p − 4
  5. 85
  6. 96
  7. 55
  8. 80
  9. p ÷ 3
  10. k + 8
  11. 15
  12. 23
  13. 18
  14. 25
  15. 14
  16. 22
  17. 135
  18. 24
  19. 16
  20. 62
  21. 1
  22. 39
  23. 51
  24. 43
  25. m + 9
  26. 85
  27. m − 4
  28. 69
  29. 14
  30. 63
  31. 20
  32. 22
  33. 52
  34. p − 2
  35. 24
  36. 84
  37. k + 5
  38. 6p
  39. 21
  40. 8

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