Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 477 · 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 7a + 8b when a = 5 and b = 10.
2. 2.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
3. 3.Solve: m − 2 = 12. What is m?
4. 4.Find the value of 5a + 6b when a = 8 and b = 3.
5. 5.Find the value of 4m − 9 when m = 3.
6. 6.Solve: y − 4 = 15. What is y?
7. 7.Find the value of 7m + 4 when m = 12.
8. 8.Find the value of 3a + 9b when a = 3 and b = 3.
9. 9.Find the value of 6x + 13 when x = 10.
10. 10.Rahul has n bananas. A friend has 6 more. Which expression shows how many bananas the friend has? (a) n − 6 (b) n + 6 (c) 6n (d) n ÷ 6
11. 11.Find the value of 3x + 11 when x = 1.
12. 12.Isha shares k bananas equally among 3 friends. Which expression shows how many bananas each friend gets? (a) k ÷ 3 (b) k + 3 (c) 3k (d) k − 3
13. 13.Riya shares n pencils equally among 9 friends. Which expression shows how many pencils each friend gets? (a) n ÷ 9 (b) 9n (c) n − 9 (d) n + 9
14. 14.Solve: y + 10 = 27. What is y?
15. 15.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
16. 16.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
17. 17.Solve: 9p = 108. What is p?
18. 18.Solve: m − 9 = 2. What is m?
19. 19.Joseph has m books. A friend has 2 fewer. Which expression shows how many books the friend has? (a) m + 2 (b) m ÷ 2 (c) 2m (d) m − 2
20. 20.Find the value of 8p + 11 when p = 9.
21. 21.Find the value of 3a + 9b when a = 4 and b = 1.
22. 22.Find the value of 5a + 7b when a = 10 and b = 7.
23. 23.Solve: x ÷ 10 = 6. What is x?
24. 24.Dev has m mangoes. A friend has 4 times as many. Which expression shows how many mangoes the friend has? (a) 4m (b) m + 4 (c) m − 4 (d) m ÷ 4
25. 25.Find the value of 6p + 1 when p = 9.
26. 26.Aarav has p balls. A friend has 7 more. Which expression shows how many balls the friend has? (a) 7p (b) p ÷ 7 (c) p − 7 (d) p + 7
27. 27.Solve: 12x = 156. What is x?
28. 28.Find the value of 5n + 19 when n = 11.
29. 29.Solve: t − 4 = 14. What is t?
30. 30.Find the value of 6x + 1 when x = 8.
31. 31.Manav shares m marbles equally among 3 friends. Which expression shows how many marbles each friend gets? (a) m ÷ 3 (b) m − 3 (c) m + 3 (d) 3m
32. 32.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
33. 33.Solve: n + 6 = 8. What is n?
34. 34.Joseph shares n balls equally among 5 friends. Which expression shows how many balls each friend gets? (a) 5n (b) n − 5 (c) n ÷ 5 (d) n + 5
35. 35.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
36. 36.Find the value of 2p + 3 when p = 10.
37. 37.Find the value of 3a + 6b when a = 5 and b = 5.
38. 38.Farhan shares p shells equally among 5 friends. Which expression shows how many shells each friend gets? (a) 5p (b) p ÷ 5 (c) p + 5 (d) p − 5
39. 39.Solve: t + 3 = 19. What is t?
40. 40.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?

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