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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 49 · 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 3a + 4b when a = 6 and b = 9.
  2. 2.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
  3. 3.Find the value of 4p − 4 when p = 12.
  4. 4.Solve: 6x = 24. What is x?
  5. 5.Find the value of 9x − 1 when x = 3.
  6. 6.Rohan has m mangoes. A friend has 4 fewer. Which expression shows how many mangoes the friend has? (a) 4m (b) m ÷ 4 (c) m − 4 (d) m + 4
  7. 7.Find the value of 8a + 2b when a = 6 and b = 2.
  8. 8.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
  9. 9.Solve: y ÷ 2 = 3. What is y?
  10. 10.Nisha has k mangoes. A friend has 3 fewer. Which expression shows how many mangoes the friend has? (a) k ÷ 3 (b) k − 3 (c) k + 3 (d) 3k
  11. 11.Find the value of 2n − 7 when n = 12.
  12. 12.Find the value of 9x + 20 when x = 9.
  13. 13.Find the value of 9a + 9b when a = 4 and b = 3.
  14. 14.Solve: x ÷ 11 = 19. What is x?
  15. 15.Solve: p ÷ 3 = 3. What is p?
  16. 16.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
  17. 17.Zoya has m balls. A friend has 9 times as many. Which expression shows how many balls the friend has? (a) 9m (b) m + 9 (c) m − 9 (d) m ÷ 9
  18. 18.Solve: y ÷ 9 = 11. What is y?
  19. 19.Find the value of 2a + 2b when a = 8 and b = 2.
  20. 20.Find the value of 9a + 9b when a = 6 and b = 1.
  21. 21.Find the value of 4n + 1 when n = 7.
  22. 22.Solve: x ÷ 11 = 18. What is x?
  23. 23.Find the value of 4y + 2 when y = 4.
  24. 24.Solve: t + 11 = 25. What is t?
  25. 25.Find the value of 6a + 4b when a = 4 and b = 1.
  26. 26.Find the value of 2a + 2b when a = 10 and b = 8.
  27. 27.Vivaan shares n shells equally among 4 friends. Which expression shows how many shells each friend gets? (a) n ÷ 4 (b) n + 4 (c) 4n (d) n − 4
  28. 28.Solve: y ÷ 8 = 18. What is y?
  29. 29.Riya has m crayons. A friend has 9 fewer. Which expression shows how many crayons the friend has? (a) m + 9 (b) m ÷ 9 (c) m − 9 (d) 9m
  30. 30.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 23 letters?
  31. 31.Find the value of 3p − 3 when p = 2.
  32. 32.Solve: m ÷ 2 = 20. What is m?
  33. 33.Find the value of 3p + 12 when p = 1.
  34. 34.Find the value of 4a + 3b when a = 5 and b = 2.
  35. 35.Find the value of 4a + 7b when a = 1 and b = 4.
  36. 36.Solve: 11t = 88. What is t?
  37. 37.Solve: t + 8 = 19. What is t?
  38. 38.Tara shares n books equally among 2 friends. Which expression shows how many books each friend gets? (a) n − 2 (b) n ÷ 2 (c) 2n (d) n + 2
  39. 39.Find the value of 3a + 7b when a = 7 and b = 8.
  40. 40.Find the value of 3y − 15 when y = 10.

Answer key

  1. 54
  2. 36
  3. 44
  4. 4
  5. 26
  6. m − 4
  7. 52
  8. 34
  9. 6
  10. k − 3
  11. 17
  12. 101
  13. 63
  14. 209
  15. 9
  16. 90
  17. 9m
  18. 99
  19. 20
  20. 63
  21. 29
  22. 198
  23. 18
  24. 14
  25. 28
  26. 36
  27. n ÷ 4
  28. 144
  29. m − 9
  30. 92
  31. 3
  32. 40
  33. 15
  34. 26
  35. 32
  36. 8
  37. 11
  38. n ÷ 2
  39. 77
  40. 15

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