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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 374 · 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.Find the value of 4m + 4 when m = 2.
  2. 2.Find the value of 5x + 4 when x = 6.
  3. 3.Find the value of 8p + 19 when p = 9.
  4. 4.Find the value of 8a + 3b when a = 1 and b = 10.
  5. 5.Find the value of 6a + 7b when a = 2 and b = 8.
  6. 6.Find the value of 9n + 3 when n = 4.
  7. 7.Find the value of 4y + 7 when y = 4.
  8. 8.Solve: t ÷ 7 = 6. What is t?
  9. 9.Solve: n + 6 = 13. What is n?
  10. 10.Find the value of 2x + 8 when x = 1.
  11. 11.Find the value of 7a + 4b when a = 4 and b = 2.
  12. 12.Find the value of 9y − 55 when y = 12.
  13. 13.Solve: 6x = 24. What is x?
  14. 14.Tara shares m shells equally among 5 friends. Which expression shows how many shells each friend gets? (a) m + 5 (b) m ÷ 5 (c) m − 5 (d) 5m
  15. 15.Aarav has m pencils. A friend has 3 times as many. Which expression shows how many pencils the friend has? (a) 3m (b) m ÷ 3 (c) m + 3 (d) m − 3
  16. 16.Find the value of 8a + 2b when a = 3 and b = 3.
  17. 17.Solve: x + 7 = 27. What is x?
  18. 18.Gurpreet shares n shells equally among 9 friends. Which expression shows how many shells each friend gets? (a) 9n (b) n + 9 (c) n ÷ 9 (d) n − 9
  19. 19.Solve: t + 5 = 7. What is t?
  20. 20.Find the value of 5y − 18 when y = 8.
  21. 21.Solve: 7p = 28. What is p?
  22. 22.Solve: m + 7 = 22. What is m?
  23. 23.Find the value of 6a + 7b when a = 2 and b = 3.
  24. 24.Solve: t + 4 = 8. What is t?
  25. 25.Solve: p + 7 = 16. What is p?
  26. 26.Find the value of 2a + 7b when a = 9 and b = 7.
  27. 27.Solve: x − 5 = 11. What is x?
  28. 28.Find the value of 3x + 6 when x = 11.
  29. 29.Find the value of 8p + 3 when p = 10.
  30. 30.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
  31. 31.Find the value of 2t − 3 when t = 4.
  32. 32.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
  33. 33.Aarav shares m shells equally among 6 friends. Which expression shows how many shells each friend gets? (a) m ÷ 6 (b) m + 6 (c) m − 6 (d) 6m
  34. 34.Solve: p − 9 = 17. What is p?
  35. 35.Find the value of 4p − 20 when p = 9.
  36. 36.Nisha has k shells. A friend has 8 times as many. Which expression shows how many shells the friend has? (a) k + 8 (b) 8k (c) k ÷ 8 (d) k − 8
  37. 37.Solve: m − 9 = 9. What is m?
  38. 38.Solve: x − 6 = 17. What is x?
  39. 39.Find the value of 2n − 9 when n = 9.
  40. 40.Solve: m ÷ 8 = 9. What is m?

Answer key

  1. 12
  2. 34
  3. 91
  4. 38
  5. 68
  6. 39
  7. 23
  8. 42
  9. 7
  10. 10
  11. 36
  12. 53
  13. 4
  14. m ÷ 5
  15. 3m
  16. 30
  17. 20
  18. n ÷ 9
  19. 2
  20. 22
  21. 4
  22. 15
  23. 33
  24. 4
  25. 9
  26. 67
  27. 16
  28. 39
  29. 83
  30. 52
  31. 5
  32. 36
  33. m ÷ 6
  34. 26
  35. 16
  36. 8k
  37. 18
  38. 23
  39. 9
  40. 72

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