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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 358 · 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.Find the value of 2x − 2 when x = 10.
  2. 2.Find the value of 7a + 2b when a = 4 and b = 9.
  3. 3.Solve: y ÷ 7 = 18. What is y?
  4. 4.Solve: p − 11 = 7. What is p?
  5. 5.Find the value of 4n − 11 when n = 8.
  6. 6.Meera has k books. A friend has 5 more. Which expression shows how many books the friend has? (a) k + 5 (b) 5k (c) k − 5 (d) k ÷ 5
  7. 7.Find the value of 8y + 3 when y = 1.
  8. 8.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
  9. 9.Solve: x + 2 = 7. What is x?
  10. 10.Find the value of 8x + 5 when x = 5.
  11. 11.Find the value of 2a + 7b when a = 6 and b = 6.
  12. 12.Solve: t + 12 = 23. What is t?
  13. 13.Karan shares n shells equally among 7 friends. Which expression shows how many shells each friend gets? (a) 7n (b) n − 7 (c) n ÷ 7 (d) n + 7
  14. 14.Solve: m ÷ 10 = 5. What is m?
  15. 15.Aarav has k flowers. A friend has 5 more. Which expression shows how many flowers the friend has? (a) k ÷ 5 (b) 5k (c) k − 5 (d) k + 5
  16. 16.Solve: 4p = 12. What is p?
  17. 17.Find the value of 2n − 7 when n = 12.
  18. 18.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
  19. 19.Kavya shares m pencils equally among 3 friends. Which expression shows how many pencils each friend gets? (a) m + 3 (b) m − 3 (c) m ÷ 3 (d) 3m
  20. 20.Find the value of 5y − 17 when y = 4.
  21. 21.Find the value of 6x − 53 when x = 10.
  22. 22.Solve: m + 2 = 5. What is m?
  23. 23.Solve: y − 12 = 6. What is y?
  24. 24.Solve: m − 11 = 19. What is m?
  25. 25.Arjun has n balls. A friend has 5 fewer. Which expression shows how many balls the friend has? (a) n + 5 (b) n ÷ 5 (c) n − 5 (d) 5n
  26. 26.Diya has k bananas. A friend has 2 more. Which expression shows how many bananas the friend has? (a) k − 2 (b) k ÷ 2 (c) 2k (d) k + 2
  27. 27.Find the value of 5p + 20 when p = 7.
  28. 28.Find the value of 9p + 3 when p = 12.
  29. 29.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
  30. 30.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
  31. 31.Solve: n ÷ 8 = 19. What is n?
  32. 32.Solve: 9x = 90. What is x?
  33. 33.Find the value of 2t − 13 when t = 9.
  34. 34.Find the value of 9y − 1 when y = 1.
  35. 35.Solve: p − 5 = 16. What is p?
  36. 36.Ananya shares p mangoes equally among 3 friends. Which expression shows how many mangoes each friend gets? (a) 3p (b) p ÷ 3 (c) p − 3 (d) p + 3
  37. 37.Find the value of 2a + 3b when a = 5 and b = 1.
  38. 38.Solve: m − 5 = 4. What is m?
  39. 39.Ananya has m bananas. A friend has 5 times as many. Which expression shows how many bananas the friend has? (a) 5m (b) m ÷ 5 (c) m − 5 (d) m + 5
  40. 40.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 25 letters?

Answer key

  1. 18
  2. 46
  3. 126
  4. 18
  5. 21
  6. k + 5
  7. 11
  8. 87
  9. 5
  10. 45
  11. 54
  12. 11
  13. n ÷ 7
  14. 50
  15. k + 5
  16. 3
  17. 17
  18. 32
  19. m ÷ 3
  20. 3
  21. 7
  22. 3
  23. 18
  24. 30
  25. n − 5
  26. k + 2
  27. 55
  28. 111
  29. 33
  30. 66
  31. 152
  32. 10
  33. 5
  34. 8
  35. 21
  36. p ÷ 3
  37. 13
  38. 9
  39. 5m
  40. 100

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