Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 121 · 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.Solve: m + 2 = 7. What is m?
2. 2.Find the value of 7a + 6b when a = 9 and b = 2.
3. 3.Solve: p + 4 = 10. What is p?
4. 4.Farhan has m flowers. A friend has 8 more. Which expression shows how many flowers the friend has? (a) m ÷ 8 (b) 8m (c) m − 8 (d) m + 8
5. 5.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
6. 6.Find the value of 5t − 7 when t = 12.
7. 7.Solve: p ÷ 2 = 8. What is p?
8. 8.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
9. 9.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
10. 10.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
11. 11.Find the value of 8p + 8 when p = 1.
12. 12.Solve: x ÷ 3 = 19. What is x?
13. 13.Farhan shares m marbles equally among 2 friends. Which expression shows how many marbles each friend gets? (a) m − 2 (b) m + 2 (c) m ÷ 2 (d) 2m
14. 14.Find the value of 4p + 9 when p = 3.
15. 15.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
16. 16.Dev has n shells. A friend has 4 more. Which expression shows how many shells the friend has? (a) n − 4 (b) 4n (c) n ÷ 4 (d) n + 4
17. 17.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
18. 18.Find the value of 5t − 5 when t = 2.
19. 19.Find the value of 7t + 4 when t = 7.
20. 20.Solve: m ÷ 11 = 12. What is m?
21. 21.Find the value of 6m + 2 when m = 8.
22. 22.Aditya has m crayons. A friend has 6 fewer. Which expression shows how many crayons the friend has? (a) m ÷ 6 (b) 6m (c) m − 6 (d) m + 6
23. 23.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
24. 24.Find the value of 7a + 8b when a = 3 and b = 8.
25. 25.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
26. 26.Aarav has k shells. A friend has 4 more. Which expression shows how many shells the friend has? (a) k + 4 (b) 4k (c) k ÷ 4 (d) k − 4
27. 27.Find the value of 8m − 36 when m = 8.
28. 28.Find the value of 2n + 16 when n = 10.
29. 29.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 21 letters?
30. 30.Solve: t − 4 = 3. What is t?
31. 31.Find the value of 3a + 4b when a = 2 and b = 1.
32. 32.Find the value of 4m − 2 when m = 5.
33. 33.Solve: 9y = 45. What is y?
34. 34.Solve: m + 2 = 8. What is m?
35. 35.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
36. 36.Find the value of 5a + 2b when a = 8 and b = 7.
37. 37.Find the value of 4a + 2b when a = 3 and b = 3.
38. 38.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
39. 39.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 26 letters?
40. 40.Arjun shares n shells equally among 5 friends. Which expression shows how many shells each friend gets? (a) n + 5 (b) n − 5 (c) n ÷ 5 (d) 5n

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