← Algebra: expressions and simple equations lesson New set →

Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 30 · 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.

NameDateTime takenScore ___ / 40
  1. 1.Solve: p ÷ 12 = 1. What is p?
  2. 2.Find the value of 5y − 20 when y = 9.
  3. 3.Find the value of 9t − 98 when t = 11.
  4. 4.Find the value of 7p − 5 when p = 2.
  5. 5.Find the value of 7a + 6b when a = 10 and b = 1.
  6. 6.Solve: x + 3 = 19. What is x?
  7. 7.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
  8. 8.Solve: x + 2 = 21. What is x?
  9. 9.Find the value of 7x + 1 when x = 1.
  10. 10.Find the value of 2x + 15 when x = 11.
  11. 11.Solve: t + 2 = 20. What is t?
  12. 12.Find the value of 2a + 9b when a = 3 and b = 5.
  13. 13.Zoya has m pencils. A friend has 9 more. Which expression shows how many pencils the friend has? (a) m + 9 (b) m ÷ 9 (c) 9m (d) m − 9
  14. 14.Solve: 5m = 5. What is m?
  15. 15.Find the value of 2a + 3b when a = 1 and b = 7.
  16. 16.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
  17. 17.Find the value of 4a + 6b when a = 9 and b = 8.
  18. 18.Find the value of 5n − 2 when n = 4.
  19. 19.Find the value of 8a + 8b when a = 9 and b = 5.
  20. 20.Find the value of 9a + 5b when a = 9 and b = 10.
  21. 21.Find the value of 2x − 5 when x = 3.
  22. 22.Pooja shares m balls equally among 4 friends. Which expression shows how many balls each friend gets? (a) m − 4 (b) 4m (c) m + 4 (d) m ÷ 4
  23. 23.Find the value of 4x − 22 when x = 6.
  24. 24.Solve: n ÷ 2 = 8. What is n?
  25. 25.Solve: p − 11 = 2. What is p?
  26. 26.Find the value of 2y + 6 when y = 8.
  27. 27.Find the value of 8a + 2b when a = 5 and b = 4.
  28. 28.Find the value of 4t + 10 when t = 1.
  29. 29.Find the value of 2a + 4b when a = 7 and b = 6.
  30. 30.Rahul has n pencils. A friend has 6 times as many. Which expression shows how many pencils the friend has? (a) n − 6 (b) n + 6 (c) n ÷ 6 (d) 6n
  31. 31.Find the value of 9x + 7 when x = 4.
  32. 32.Find the value of 8x + 16 when x = 6.
  33. 33.Solve: p ÷ 8 = 10. What is p?
  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.Find the value of 5a + 4b when a = 2 and b = 2.
  36. 36.Find the value of 3x − 27 when x = 10.
  37. 37.Find the value of 5n − 23 when n = 12.
  38. 38.Solve: y ÷ 2 = 3. What is y?
  39. 39.Find the value of 5a + 4b when a = 9 and b = 2.
  40. 40.Solve: p − 11 = 15. What is p?

Answer key

  1. 12
  2. 25
  3. 1
  4. 9
  5. 76
  6. 16
  7. 54
  8. 19
  9. 8
  10. 37
  11. 18
  12. 51
  13. m + 9
  14. 1
  15. 23
  16. 50
  17. 84
  18. 18
  19. 112
  20. 131
  21. 1
  22. m ÷ 4
  23. 2
  24. 16
  25. 13
  26. 22
  27. 48
  28. 14
  29. 38
  30. 6n
  31. 43
  32. 64
  33. 80
  34. 57
  35. 18
  36. 3
  37. 37
  38. 6
  39. 53
  40. 26

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets