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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 23 · 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: 11y = 198. What is y?
  2. 2.Find the value of 2n + 19 when n = 7.
  3. 3.Find the value of 5n − 9 when n = 3.
  4. 4.Diya has p mangoes. A friend has 6 fewer. Which expression shows how many mangoes the friend has? (a) 6p (b) p + 6 (c) p ÷ 6 (d) p − 6
  5. 5.Find the value of 2a + 5b when a = 10 and b = 1.
  6. 6.Find the value of 3a + 9b when a = 3 and b = 5.
  7. 7.Kabir has n mangoes. A friend has 7 fewer. Which expression shows how many mangoes the friend has? (a) 7n (b) n + 7 (c) n − 7 (d) n ÷ 7
  8. 8.Find the value of 8a + 6b when a = 1 and b = 5.
  9. 9.Solve: 9p = 108. What is p?
  10. 10.Find the value of 8n + 14 when n = 3.
  11. 11.Farhan has p balloons. A friend has 5 fewer. Which expression shows how many balloons the friend has? (a) 5p (b) p − 5 (c) p + 5 (d) p ÷ 5
  12. 12.Find the value of 2x + 4 when x = 6.
  13. 13.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
  14. 14.Solve: n + 4 = 21. What is n?
  15. 15.Find the value of 7a + 3b when a = 3 and b = 10.
  16. 16.Find the value of 6a + 3b when a = 7 and b = 9.
  17. 17.Find the value of 9t − 12 when t = 3.
  18. 18.Find the value of 9y + 20 when y = 6.
  19. 19.Find the value of 8n + 16 when n = 2.
  20. 20.Find the value of 7a + 6b when a = 5 and b = 8.
  21. 21.Find the value of 3t − 1 when t = 1.
  22. 22.Riya shares n mangoes equally among 8 friends. Which expression shows how many mangoes each friend gets? (a) 8n (b) n + 8 (c) n ÷ 8 (d) n − 8
  23. 23.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 8 letters?
  24. 24.Find the value of 9y + 16 when y = 6.
  25. 25.Vivaan shares n balloons equally among 7 friends. Which expression shows how many balloons each friend gets? (a) n + 7 (b) 7n (c) n ÷ 7 (d) n − 7
  26. 26.Priya has k pencils. A friend has 7 times as many. Which expression shows how many pencils the friend has? (a) k − 7 (b) k + 7 (c) k ÷ 7 (d) 7k
  27. 27.Find the value of 7y + 19 when y = 4.
  28. 28.Solve: n ÷ 11 = 13. What is n?
  29. 29.Find the value of 8t − 35 when t = 12.
  30. 30.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
  31. 31.Solve: y + 7 = 12. What is y?
  32. 32.Find the value of 6n + 2 when n = 1.
  33. 33.Find the value of 5a + 4b when a = 1 and b = 7.
  34. 34.Solve: y + 5 = 15. What is y?
  35. 35.Find the value of 7x − 38 when x = 8.
  36. 36.Solve: 8y = 104. What is y?
  37. 37.Find the value of 9y − 18 when y = 9.
  38. 38.Solve: 10x = 200. What is x?
  39. 39.Find the value of 8n + 7 when n = 12.
  40. 40.Ishaan has n pencils. A friend has 8 more. Which expression shows how many pencils the friend has? (a) n − 8 (b) 8n (c) n ÷ 8 (d) n + 8

Answer key

  1. 18
  2. 33
  3. 6
  4. p − 6
  5. 25
  6. 54
  7. n − 7
  8. 38
  9. 12
  10. 38
  11. p − 5
  12. 16
  13. 78
  14. 17
  15. 51
  16. 69
  17. 15
  18. 74
  19. 32
  20. 83
  21. 2
  22. n ÷ 8
  23. 32
  24. 70
  25. n ÷ 7
  26. 7k
  27. 47
  28. 143
  29. 61
  30. 81
  31. 5
  32. 8
  33. 33
  34. 10
  35. 18
  36. 13
  37. 63
  38. 20
  39. 103
  40. n + 8

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