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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 473 · 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.Meera has m marbles. A friend has 6 more. Which expression shows how many marbles the friend has? (a) m ÷ 6 (b) m − 6 (c) 6m (d) m + 6
  2. 2.Find the value of 7p + 18 when p = 12.
  3. 3.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
  4. 4.Find the value of 2a + 2b when a = 2 and b = 10.
  5. 5.Kavya has k pencils. A friend has 7 more. Which expression shows how many pencils the friend has? (a) k ÷ 7 (b) k + 7 (c) 7k (d) k − 7
  6. 6.Solve: n + 6 = 22. What is n?
  7. 7.Find the value of 7x − 11 when x = 5.
  8. 8.Find the value of 4t + 20 when t = 5.
  9. 9.Solve: x ÷ 9 = 10. What is x?
  10. 10.Priya shares m bananas equally among 4 friends. Which expression shows how many bananas each friend gets? (a) m + 4 (b) m ÷ 4 (c) 4m (d) m − 4
  11. 11.Find the value of 8y − 12 when y = 4.
  12. 12.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
  13. 13.Find the value of 9a + 9b when a = 2 and b = 5.
  14. 14.Karan has k balls. A friend has 5 more. Which expression shows how many balls the friend has? (a) k − 5 (b) 5k (c) k + 5 (d) k ÷ 5
  15. 15.Solve: x − 8 = 6. What is x?
  16. 16.Solve: 7m = 98. What is m?
  17. 17.Rahul has n marbles. A friend has 2 more. Which expression shows how many marbles the friend has? (a) n − 2 (b) 2n (c) n ÷ 2 (d) n + 2
  18. 18.Find the value of 6x + 16 when x = 8.
  19. 19.Find the value of 4a + 6b when a = 1 and b = 6.
  20. 20.Aarav shares k laddoos equally among 7 friends. Which expression shows how many laddoos each friend gets? (a) k − 7 (b) 7k (c) k ÷ 7 (d) k + 7
  21. 21.Solve: x − 3 = 20. What is x?
  22. 22.Find the value of 2a + 2b when a = 9 and b = 3.
  23. 23.Solve: y + 4 = 16. What is y?
  24. 24.Ananya has m crayons. A friend has 4 fewer. Which expression shows how many crayons the friend has? (a) m ÷ 4 (b) m − 4 (c) 4m (d) m + 4
  25. 25.Find the value of 9y − 4 when y = 1.
  26. 26.Find the value of 4p − 4 when p = 2.
  27. 27.Find the value of 6a + 2b when a = 4 and b = 6.
  28. 28.Solve: 6t = 90. What is t?
  29. 29.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
  30. 30.Find the value of 5a + 9b when a = 1 and b = 9.
  31. 31.Solve: x ÷ 8 = 14. What is x?
  32. 32.Find the value of 3x − 11 when x = 5.
  33. 33.Find the value of 6x − 10 when x = 4.
  34. 34.Find the value of 8a + 7b when a = 6 and b = 7.
  35. 35.Find the value of 2n + 16 when n = 7.
  36. 36.Find the value of 7x − 27 when x = 4.
  37. 37.Find the value of 4m − 2 when m = 7.
  38. 38.Find the value of 3m − 1 when m = 1.
  39. 39.Find the value of 3a + 2b when a = 6 and b = 7.
  40. 40.Kabir has m mangoes. A friend has 4 times as many. Which expression shows how many mangoes the friend has? (a) m + 4 (b) m ÷ 4 (c) 4m (d) m − 4

Answer key

  1. m + 6
  2. 102
  3. 51
  4. 24
  5. k + 7
  6. 16
  7. 24
  8. 40
  9. 90
  10. m ÷ 4
  11. 20
  12. 81
  13. 63
  14. k + 5
  15. 14
  16. 14
  17. n + 2
  18. 64
  19. 40
  20. k ÷ 7
  21. 23
  22. 24
  23. 12
  24. m − 4
  25. 5
  26. 4
  27. 36
  28. 15
  29. 56
  30. 86
  31. 112
  32. 4
  33. 14
  34. 97
  35. 30
  36. 1
  37. 26
  38. 2
  39. 32
  40. 4m

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