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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 586 · 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 5a + 5b when a = 10 and b = 9.
  2. 2.Farhan 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
  3. 3.Find the value of 7a + 3b when a = 2 and b = 7.
  4. 4.Find the value of 4m + 11 when m = 11.
  5. 5.Saanvi shares p kites equally among 8 friends. Which expression shows how many kites each friend gets? (a) p + 8 (b) p ÷ 8 (c) 8p (d) p − 8
  6. 6.Lakshmi has n laddoos. A friend has 8 more. Which expression shows how many laddoos the friend has? (a) 8n (b) n + 8 (c) n ÷ 8 (d) n − 8
  7. 7.Find the value of 7a + 5b when a = 3 and b = 2.
  8. 8.Karan has k pencils. A friend has 4 times as many. Which expression shows how many pencils the friend has? (a) k − 4 (b) 4k (c) k ÷ 4 (d) k + 4
  9. 9.Find the value of 2a + 7b when a = 10 and b = 4.
  10. 10.Find the value of 7a + 6b when a = 8 and b = 6.
  11. 11.Find the value of 8m − 7 when m = 3.
  12. 12.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
  13. 13.Solve: y + 3 = 15. What is y?
  14. 14.Solve: x − 3 = 10. What is x?
  15. 15.Find the value of 7a + 5b when a = 8 and b = 2.
  16. 16.Manav has n balloons. A friend has 4 more. Which expression shows how many balloons the friend has? (a) n ÷ 4 (b) 4n (c) n − 4 (d) n + 4
  17. 17.Lakshmi has n crayons. A friend has 3 fewer. Which expression shows how many crayons the friend has? (a) 3n (b) n + 3 (c) n ÷ 3 (d) n − 3
  18. 18.Find the value of 7y + 1 when y = 6.
  19. 19.Zoya has m kites. A friend has 7 fewer. Which expression shows how many kites the friend has? (a) m ÷ 7 (b) m + 7 (c) m − 7 (d) 7m
  20. 20.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
  21. 21.Rahul shares k kites equally among 3 friends. Which expression shows how many kites each friend gets? (a) k + 3 (b) k − 3 (c) 3k (d) k ÷ 3
  22. 22.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
  23. 23.Solve: m + 5 = 22. What is m?
  24. 24.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
  25. 25.Find the value of 5p − 16 when p = 8.
  26. 26.Aarav shares m pencils equally among 9 friends. Which expression shows how many pencils each friend gets? (a) m − 9 (b) m + 9 (c) 9m (d) m ÷ 9
  27. 27.Solve: m + 12 = 15. What is m?
  28. 28.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 22 letters?
  29. 29.Find the value of 7n − 12 when n = 4.
  30. 30.Solve: m − 11 = 8. What is m?
  31. 31.Aarav shares n flowers equally among 2 friends. Which expression shows how many flowers each friend gets? (a) n + 2 (b) n − 2 (c) n ÷ 2 (d) 2n
  32. 32.Saanvi has m books. A friend has 9 more. Which expression shows how many books the friend has? (a) m − 9 (b) m ÷ 9 (c) 9m (d) m + 9
  33. 33.Dev shares n balloons equally among 9 friends. Which expression shows how many balloons each friend gets? (a) 9n (b) n ÷ 9 (c) n − 9 (d) n + 9
  34. 34.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
  35. 35.Find the value of 2t + 6 when t = 10.
  36. 36.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
  37. 37.Find the value of 7t + 3 when t = 9.
  38. 38.Solve: y ÷ 9 = 5. What is y?
  39. 39.Solve: p − 12 = 9. What is p?
  40. 40.Find the value of 3a + 8b when a = 9 and b = 6.

Answer key

  1. 95
  2. m − 4
  3. 35
  4. 55
  5. p ÷ 8
  6. n + 8
  7. 31
  8. 4k
  9. 48
  10. 92
  11. 17
  12. 60
  13. 12
  14. 13
  15. 66
  16. n + 4
  17. n − 3
  18. 43
  19. m − 7
  20. 30
  21. k ÷ 3
  22. 57
  23. 17
  24. 63
  25. 24
  26. m ÷ 9
  27. 3
  28. 88
  29. 16
  30. 19
  31. n ÷ 2
  32. m + 9
  33. n ÷ 9
  34. 36
  35. 26
  36. 50
  37. 66
  38. 45
  39. 21
  40. 75

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