Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 608 · 40 sums

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.

1. 1.Find the value of 8a + 5b when a = 9 and b = 7.
2. 2.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
3. 3.Solve: n + 6 = 15. What is n?
4. 4.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
5. 5.Find the value of 3a + 9b when a = 2 and b = 1.
6. 6.Find the value of 2a + 4b when a = 8 and b = 8.
7. 7.Find the value of 3n − 5 when n = 2.
8. 8.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
9. 9.Solve: 5n = 30. What is n?
10. 10.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
11. 11.Solve: t + 8 = 11. What is t?
12. 12.Solve: 10m = 90. What is m?
13. 13.Solve: 9n = 72. What is n?
14. 14.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
15. 15.Solve: x + 5 = 12. What is x?
16. 16.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
17. 17.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
18. 18.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 20 letters?
19. 19.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
20. 20.Aditya shares p flowers equally among 2 friends. Which expression shows how many flowers each friend gets? (a) p ÷ 2 (b) 2p (c) p + 2 (d) p − 2
21. 21.Find the value of 2a + 5b when a = 6 and b = 7.
22. 22.Find the value of 2a + 9b when a = 1 and b = 7.
23. 23.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
24. 24.Find the value of 8a + 5b when a = 5 and b = 5.
25. 25.Find the value of 9a + 2b when a = 3 and b = 7.
26. 26.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 30 letters?
27. 27.Find the value of 4t − 21 when t = 7.
28. 28.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
29. 29.Aarav shares m balloons equally among 8 friends. Which expression shows how many balloons each friend gets? (a) m ÷ 8 (b) m + 8 (c) m − 8 (d) 8m
30. 30.Find the value of 6p − 11 when p = 9.
31. 31.Find the value of 3a + 6b when a = 6 and b = 10.
32. 32.Vivaan shares m shells equally among 4 friends. Which expression shows how many shells each friend gets? (a) m + 4 (b) 4m (c) m ÷ 4 (d) m − 4
33. 33.Solve: x − 3 = 1. What is x?
34. 34.Find the value of 2a + 7b when a = 3 and b = 8.
35. 35.Find the value of 3t − 13 when t = 6.
36. 36.Find the value of 3x − 2 when x = 4.
37. 37.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
38. 38.Find the value of 6a + 3b when a = 8 and b = 8.
39. 39.Manav shares m balloons equally among 7 friends. Which expression shows how many balloons each friend gets? (a) m − 7 (b) m + 7 (c) 7m (d) m ÷ 7
40. 40.Find the value of 5a + 8b when a = 7 and b = 7.

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