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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 294 · 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.Arjun has p laddoos. A friend has 5 fewer. Which expression shows how many laddoos the friend has? (a) 5p (b) p − 5 (c) p + 5 (d) p ÷ 5
  2. 2.Find the value of 2n − 7 when n = 7.
  3. 3.Solve: n ÷ 4 = 5. What is n?
  4. 4.Solve: n ÷ 6 = 15. What is n?
  5. 5.Find the value of 2x + 8 when x = 9.
  6. 6.Solve: 12p = 156. What is p?
  7. 7.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
  8. 8.Find the value of 4a + 5b when a = 5 and b = 9.
  9. 9.Isha has k kites. A friend has 6 more. Which expression shows how many kites the friend has? (a) k + 6 (b) 6k (c) k − 6 (d) k ÷ 6
  10. 10.Solve: n ÷ 2 = 16. What is n?
  11. 11.Solve: 11x = 209. What is x?
  12. 12.Find the value of 8y + 5 when y = 11.
  13. 13.Find the value of 4x − 8 when x = 5.
  14. 14.Find the value of 2n − 3 when n = 3.
  15. 15.Find the value of 8a + 5b when a = 2 and b = 10.
  16. 16.Solve: m ÷ 4 = 16. What is m?
  17. 17.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
  18. 18.Find the value of 8t + 3 when t = 12.
  19. 19.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
  20. 20.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
  21. 21.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 11 letters?
  22. 22.Find the value of 6p − 23 when p = 12.
  23. 23.Find the value of 6a + 5b when a = 8 and b = 3.
  24. 24.Aarav has p flowers. A friend has 4 fewer. Which expression shows how many flowers the friend has? (a) p − 4 (b) p + 4 (c) p ÷ 4 (d) 4p
  25. 25.Saanvi shares m shells equally among 4 friends. Which expression shows how many shells each friend gets? (a) m − 4 (b) m + 4 (c) m ÷ 4 (d) 4m
  26. 26.Solve: t − 4 = 12. What is t?
  27. 27.Find the value of 8x + 3 when x = 12.
  28. 28.Solve: x − 11 = 20. What is x?
  29. 29.Solve: 3n = 30. What is n?
  30. 30.Find the value of 5a + 6b when a = 3 and b = 1.
  31. 31.Find the value of 7a + 4b when a = 8 and b = 1.
  32. 32.Solve: m − 3 = 14. What is m?
  33. 33.Solve: t + 3 = 7. What is t?
  34. 34.Solve: m + 7 = 17. What is m?
  35. 35.Solve: t + 4 = 7. What is t?
  36. 36.Solve: 12m = 228. What is m?
  37. 37.Find the value of 9n − 6 when n = 1.
  38. 38.Solve: p + 7 = 9. What is p?
  39. 39.Karan shares m books equally among 6 friends. Which expression shows how many books each friend gets? (a) m + 6 (b) m ÷ 6 (c) m − 6 (d) 6m
  40. 40.Solve: y − 9 = 6. What is y?

Answer key

  1. p − 5
  2. 7
  3. 20
  4. 90
  5. 26
  6. 13
  7. 27
  8. 65
  9. k + 6
  10. 32
  11. 19
  12. 93
  13. 12
  14. 3
  15. 66
  16. 64
  17. 39
  18. 99
  19. 84
  20. 24
  21. 44
  22. 49
  23. 63
  24. p − 4
  25. m ÷ 4
  26. 16
  27. 99
  28. 31
  29. 10
  30. 21
  31. 60
  32. 17
  33. 4
  34. 10
  35. 3
  36. 19
  37. 3
  38. 2
  39. m ÷ 6
  40. 15

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