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Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 84 · 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.Solve: t ÷ 12 = 5. What is t?
  2. 2.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
  3. 3.Solve: n + 12 = 27. What is n?
  4. 4.Solve: y − 3 = 12. What is y?
  5. 5.Riya has n shells. A friend has 9 more. Which expression shows how many shells the friend has? (a) n − 9 (b) 9n (c) n + 9 (d) n ÷ 9
  6. 6.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
  7. 7.Find the value of 3a + 3b when a = 3 and b = 1.
  8. 8.Kavya has n balloons. A friend has 7 fewer. Which expression shows how many balloons the friend has? (a) n − 7 (b) n ÷ 7 (c) 7n (d) n + 7
  9. 9.Solve: 8x = 160. What is x?
  10. 10.Find the value of 2x + 16 when x = 8.
  11. 11.Zoya has n pencils. A friend has 7 times as many. Which expression shows how many pencils the friend has? (a) 7n (b) n − 7 (c) n + 7 (d) n ÷ 7
  12. 12.Solve: p ÷ 2 = 16. What is p?
  13. 13.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
  14. 14.Joseph has p pencils. A friend has 9 more. Which expression shows how many pencils the friend has? (a) p − 9 (b) p + 9 (c) p ÷ 9 (d) 9p
  15. 15.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
  16. 16.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
  17. 17.Find the value of 2t + 11 when t = 6.
  18. 18.Kabir shares n crayons equally among 4 friends. Which expression shows how many crayons each friend gets? (a) n ÷ 4 (b) n − 4 (c) n + 4 (d) 4n
  19. 19.Ishaan has p flowers. A friend has 6 fewer. Which expression shows how many flowers the friend has? (a) 6p (b) p ÷ 6 (c) p + 6 (d) p − 6
  20. 20.Solve: y − 12 = 6. What is y?
  21. 21.Find the value of 7y − 22 when y = 4.
  22. 22.Solve: y + 9 = 24. What is y?
  23. 23.Find the value of 4x + 15 when x = 10.
  24. 24.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
  25. 25.Find the value of 3m − 7 when m = 4.
  26. 26.Solve: t ÷ 5 = 13. What is t?
  27. 27.Find the value of 5a + 8b when a = 3 and b = 10.
  28. 28.Tara has p balloons. A friend has 6 more. Which expression shows how many balloons the friend has? (a) p ÷ 6 (b) p + 6 (c) p − 6 (d) 6p
  29. 29.Solve: y ÷ 3 = 11. What is y?
  30. 30.Aarav has m pencils. A friend has 2 more. Which expression shows how many pencils the friend has? (a) m ÷ 2 (b) m + 2 (c) 2m (d) m − 2
  31. 31.Find the value of 9t − 17 when t = 9.
  32. 32.Solve: 12y = 48. What is y?
  33. 33.Rahul has m shells. A friend has 4 times as many. Which expression shows how many shells the friend has? (a) m ÷ 4 (b) m − 4 (c) 4m (d) m + 4
  34. 34.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
  35. 35.Farhan shares m bananas equally among 8 friends. Which expression shows how many bananas each friend gets? (a) 8m (b) m − 8 (c) m + 8 (d) m ÷ 8
  36. 36.Aarav has p mangoes. A friend has 3 fewer. Which expression shows how many mangoes the friend has? (a) 3p (b) p − 3 (c) p + 3 (d) p ÷ 3
  37. 37.Find the value of 2a + 9b when a = 2 and b = 3.
  38. 38.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 18 letters?
  39. 39.Lakshmi has n kites. A friend has 3 times as many. Which expression shows how many kites the friend has? (a) n ÷ 3 (b) n + 3 (c) 3n (d) n − 3
  40. 40.Karan shares m bananas equally among 6 friends. Which expression shows how many bananas each friend gets? (a) m − 6 (b) m + 6 (c) 6m (d) m ÷ 6

Answer key

  1. 60
  2. 21
  3. 15
  4. 15
  5. n + 9
  6. 39
  7. 12
  8. n − 7
  9. 20
  10. 32
  11. 7n
  12. 32
  13. 63
  14. p + 9
  15. 58
  16. 87
  17. 23
  18. n ÷ 4
  19. p − 6
  20. 18
  21. 6
  22. 15
  23. 55
  24. 72
  25. 5
  26. 65
  27. 95
  28. p + 6
  29. 33
  30. m + 2
  31. 64
  32. 4
  33. 4m
  34. 57
  35. m ÷ 8
  36. p − 3
  37. 31
  38. 72
  39. 3n
  40. m ÷ 6

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