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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 361 · 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 2m + 2 when m = 4.
  2. 2.Find the value of 2a + 9b when a = 8 and b = 3.
  3. 3.Find the value of 7a + 2b when a = 3 and b = 9.
  4. 4.Ananya has m shells. A friend has 4 more. Which expression shows how many shells the friend has? (a) m − 4 (b) m ÷ 4 (c) 4m (d) m + 4
  5. 5.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
  6. 6.Rohan has k shells. A friend has 5 fewer. Which expression shows how many shells the friend has? (a) k + 5 (b) k ÷ 5 (c) 5k (d) k − 5
  7. 7.Find the value of 2a + 3b when a = 1 and b = 7.
  8. 8.Solve: 11p = 165. What is p?
  9. 9.Solve: 3y = 21. What is y?
  10. 10.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
  11. 11.Find the value of 9n + 9 when n = 5.
  12. 12.Find the value of 4y + 17 when y = 1.
  13. 13.Solve: y + 2 = 21. What is y?
  14. 14.Priya shares p mangoes equally among 7 friends. Which expression shows how many mangoes each friend gets? (a) p − 7 (b) 7p (c) p ÷ 7 (d) p + 7
  15. 15.Dev has m kites. A friend has 3 fewer. Which expression shows how many kites the friend has? (a) 3m (b) m ÷ 3 (c) m − 3 (d) m + 3
  16. 16.Tara has m balloons. A friend has 3 more. Which expression shows how many balloons the friend has? (a) m ÷ 3 (b) 3m (c) m + 3 (d) m − 3
  17. 17.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
  18. 18.Find the value of 2a + 4b when a = 9 and b = 5.
  19. 19.Diya has p pencils. A friend has 8 times as many. Which expression shows how many pencils the friend has? (a) p − 8 (b) p ÷ 8 (c) 8p (d) p + 8
  20. 20.Solve: 5m = 45. What is m?
  21. 21.Ishaan has m balloons. A friend has 7 fewer. Which expression shows how many balloons the friend has? (a) m − 7 (b) m ÷ 7 (c) m + 7 (d) 7m
  22. 22.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
  23. 23.Pooja shares n crayons equally among 7 friends. Which expression shows how many crayons each friend gets? (a) n + 7 (b) n − 7 (c) n ÷ 7 (d) 7n
  24. 24.Solve: m ÷ 10 = 20. What is m?
  25. 25.Find the value of 7m + 18 when m = 9.
  26. 26.Solve: t + 4 = 21. What is t?
  27. 27.Find the value of 6t + 4 when t = 6.
  28. 28.Find the value of 8p + 19 when p = 10.
  29. 29.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
  30. 30.Find the value of 7a + 5b when a = 10 and b = 5.
  31. 31.Rahul shares n flowers equally among 2 friends. Which expression shows how many flowers each friend gets? (a) n + 2 (b) 2n (c) n ÷ 2 (d) n − 2
  32. 32.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
  33. 33.Gurpreet has k balloons. A friend has 2 more. Which expression shows how many balloons the friend has? (a) k ÷ 2 (b) 2k (c) k − 2 (d) k + 2
  34. 34.Solve: p − 10 = 17. What is p?
  35. 35.Kabir has k books. A friend has 5 fewer. Which expression shows how many books the friend has? (a) k ÷ 5 (b) k + 5 (c) 5k (d) k − 5
  36. 36.Riya shares n pencils equally among 5 friends. Which expression shows how many pencils each friend gets? (a) 5n (b) n + 5 (c) n ÷ 5 (d) n − 5
  37. 37.Find the value of 2t + 5 when t = 5.
  38. 38.Arjun has m crayons. A friend has 6 times as many. Which expression shows how many crayons the friend has? (a) m − 6 (b) m + 6 (c) 6m (d) m ÷ 6
  39. 39.Solve: x + 3 = 13. What is x?
  40. 40.Solve: m − 12 = 19. What is m?

Answer key

  1. 10
  2. 43
  3. 39
  4. m + 4
  5. 90
  6. k − 5
  7. 23
  8. 15
  9. 7
  10. 36
  11. 54
  12. 21
  13. 19
  14. p ÷ 7
  15. m − 3
  16. m + 3
  17. 10
  18. 38
  19. 8p
  20. 9
  21. m − 7
  22. 54
  23. n ÷ 7
  24. 200
  25. 81
  26. 17
  27. 40
  28. 99
  29. 52
  30. 95
  31. n ÷ 2
  32. 14
  33. k + 2
  34. 27
  35. k − 5
  36. n ÷ 5
  37. 15
  38. 6m
  39. 10
  40. 31

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