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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 108 · 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 5y − 24 when y = 9.
  2. 2.Find the value of 6a + 9b when a = 2 and b = 7.
  3. 3.Find the value of 4t + 10 when t = 6.
  4. 4.Solve: 5x = 90. What is x?
  5. 5.Find the value of 3a + 9b when a = 8 and b = 2.
  6. 6.Find the value of 3p + 20 when p = 5.
  7. 7.Find the value of 3t + 1 when t = 12.
  8. 8.Solve: p − 11 = 16. What is p?
  9. 9.Solve: 2x = 4. What is x?
  10. 10.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
  11. 11.Solve: m + 4 = 14. What is m?
  12. 12.Find the value of 9y + 4 when y = 12.
  13. 13.Kavya shares m crayons equally among 7 friends. Which expression shows how many crayons each friend gets? (a) m ÷ 7 (b) 7m (c) m + 7 (d) m − 7
  14. 14.Solve: t ÷ 5 = 17. What is t?
  15. 15.Find the value of 3a + 9b when a = 7 and b = 9.
  16. 16.Find the value of 9p + 6 when p = 4.
  17. 17.Solve: x + 11 = 24. What is x?
  18. 18.Find the value of 3a + 5b when a = 4 and b = 6.
  19. 19.Solve: y + 7 = 17. What is y?
  20. 20.Find the value of 8a + 7b when a = 9 and b = 3.
  21. 21.Solve: 9n = 135. What is n?
  22. 22.Arjun has k kites. A friend has 3 more. Which expression shows how many kites the friend has? (a) k − 3 (b) k + 3 (c) k ÷ 3 (d) 3k
  23. 23.Solve: 2x = 22. What is x?
  24. 24.Joseph has m books. A friend has 7 fewer. Which expression shows how many books the friend has? (a) m ÷ 7 (b) m − 7 (c) m + 7 (d) 7m
  25. 25.Solve: y + 12 = 30. What is y?
  26. 26.Solve: 4m = 56. What is m?
  27. 27.Solve: y + 7 = 27. What is y?
  28. 28.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
  29. 29.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
  30. 30.Find the value of 7t − 5 when t = 10.
  31. 31.Karan has p mangoes. A friend has 9 fewer. Which expression shows how many mangoes the friend has? (a) p ÷ 9 (b) 9p (c) p − 9 (d) p + 9
  32. 32.Solve: p − 2 = 11. What is p?
  33. 33.Arjun has n balloons. A friend has 6 more. Which expression shows how many balloons the friend has? (a) n + 6 (b) 6n (c) n ÷ 6 (d) n − 6
  34. 34.Find the value of 9a + 6b when a = 4 and b = 7.
  35. 35.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
  36. 36.Find the value of 9p + 5 when p = 3.
  37. 37.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
  38. 38.Find the value of 5p − 16 when p = 11.
  39. 39.Find the value of 9a + 2b when a = 4 and b = 5.
  40. 40.Solve: m + 4 = 5. What is m?

Answer key

  1. 21
  2. 75
  3. 34
  4. 18
  5. 42
  6. 35
  7. 37
  8. 27
  9. 2
  10. 45
  11. 10
  12. 112
  13. m ÷ 7
  14. 85
  15. 102
  16. 42
  17. 13
  18. 42
  19. 10
  20. 93
  21. 15
  22. k + 3
  23. 11
  24. m − 7
  25. 18
  26. 14
  27. 20
  28. 42
  29. 78
  30. 65
  31. p − 9
  32. 13
  33. n + 6
  34. 78
  35. 44
  36. 32
  37. 63
  38. 39
  39. 46
  40. 1

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