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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 377 · 40 sums
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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.Solve: m − 11 = 8. What is m?
  2. 2.Solve: x ÷ 2 = 2. What is x?
  3. 3.Ananya has m bananas. A friend has 9 fewer. Which expression shows how many bananas the friend has? (a) m − 9 (b) m ÷ 9 (c) m + 9 (d) 9m
  4. 4.Meera has m crayons. A friend has 8 fewer. Which expression shows how many crayons the friend has? (a) m ÷ 8 (b) m − 8 (c) 8m (d) m + 8
  5. 5.Find the value of 8t + 7 when t = 4.
  6. 6.Solve: x − 4 = 10. What is x?
  7. 7.Priya shares p laddoos equally among 4 friends. Which expression shows how many laddoos each friend gets? (a) p + 4 (b) p ÷ 4 (c) 4p (d) p − 4
  8. 8.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
  9. 9.Sneha has p mangoes. A friend has 9 times as many. Which expression shows how many mangoes the friend has? (a) 9p (b) p + 9 (c) p ÷ 9 (d) p − 9
  10. 10.Find the value of 2n − 19 when n = 10.
  11. 11.Solve: n − 5 = 18. What is n?
  12. 12.Find the value of 8t + 11 when t = 3.
  13. 13.Find the value of 6a + 6b when a = 5 and b = 3.
  14. 14.Solve: t + 4 = 10. What is t?
  15. 15.Find the value of 3a + 9b when a = 4 and b = 1.
  16. 16.Find the value of 3n − 4 when n = 12.
  17. 17.Solve: y − 10 = 3. What is y?
  18. 18.Find the value of 6y + 2 when y = 9.
  19. 19.Find the value of 7x − 11 when x = 8.
  20. 20.Find the value of 4n + 2 when n = 3.
  21. 21.Find the value of 2a + 3b when a = 9 and b = 1.
  22. 22.Find the value of 7a + 3b when a = 8 and b = 4.
  23. 23.Find the value of 5n + 1 when n = 4.
  24. 24.Find the value of 8y + 13 when y = 8.
  25. 25.Find the value of 6a + 3b when a = 1 and b = 5.
  26. 26.Find the value of 6p + 6 when p = 10.
  27. 27.Find the value of 6a + 6b when a = 10 and b = 10.
  28. 28.Find the value of 8n − 27 when n = 10.
  29. 29.Solve: 7y = 84. What is y?
  30. 30.Find the value of 9x + 14 when x = 6.
  31. 31.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
  32. 32.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
  33. 33.Find the value of 5n − 31 when n = 9.
  34. 34.Solve: p + 4 = 22. What is p?
  35. 35.Find the value of 7a + 9b when a = 4 and b = 10.
  36. 36.Find the value of 4a + 6b when a = 10 and b = 8.
  37. 37.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
  38. 38.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
  39. 39.Find the value of 9m − 14 when m = 7.
  40. 40.Solve: t − 11 = 14. What is t?

Answer key

  1. 19
  2. 4
  3. m − 9
  4. m − 8
  5. 39
  6. 14
  7. p ÷ 4
  8. 15
  9. 9p
  10. 1
  11. 23
  12. 35
  13. 48
  14. 6
  15. 21
  16. 32
  17. 13
  18. 56
  19. 45
  20. 14
  21. 21
  22. 68
  23. 21
  24. 77
  25. 21
  26. 66
  27. 120
  28. 53
  29. 12
  30. 68
  31. 75
  32. 33
  33. 14
  34. 18
  35. 118
  36. 88
  37. 51
  38. 46
  39. 49
  40. 25

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