Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 503 · 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 5m + 6 when m = 12.
2. 2.Find the value of 9y − 82 when y = 12.
3. 3.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
4. 4.Find the value of 5y − 30 when y = 10.
5. 5.Find the value of 8y − 25 when y = 11.
6. 6.Find the value of 3a + 6b when a = 10 and b = 7.
7. 7.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
8. 8.Isha shares n balls equally among 3 friends. Which expression shows how many balls each friend gets? (a) n + 3 (b) n ÷ 3 (c) n − 3 (d) 3n
9. 9.Find the value of 4a + 7b when a = 1 and b = 6.
10. 10.Dev has p balls. A friend has 4 times as many. Which expression shows how many balls the friend has? (a) p ÷ 4 (b) p + 4 (c) 4p (d) p − 4
11. 11.Find the value of 6a + 2b when a = 8 and b = 7.
12. 12.Nisha has n books. A friend has 9 more. Which expression shows how many books the friend has? (a) 9n (b) n − 9 (c) n ÷ 9 (d) n + 9
13. 13.Find the value of 8a + 4b when a = 2 and b = 9.
14. 14.Solve: m + 4 = 15. What is m?
15. 15.Find the value of 3a + 2b when a = 4 and b = 3.
16. 16.Find the value of 9a + 8b when a = 3 and b = 3.
17. 17.Priya has p kites. A friend has 7 fewer. Which expression shows how many kites the friend has? (a) p + 7 (b) 7p (c) p − 7 (d) p ÷ 7
18. 18.Find the value of 5a + 8b when a = 8 and b = 2.
19. 19.Solve: m ÷ 5 = 9. What is m?
20. 20.Find the value of 9a + 5b when a = 3 and b = 6.
21. 21.Find the value of 6a + 8b when a = 1 and b = 8.
22. 22.Find the value of 3a + 3b when a = 1 and b = 10.
23. 23.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
24. 24.Find the value of 5a + 7b when a = 1 and b = 8.
25. 25.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
26. 26.Karan has n laddoos. A friend has 8 more. Which expression shows how many laddoos the friend has? (a) n + 8 (b) 8n (c) n ÷ 8 (d) n − 8
27. 27.Solve: t + 12 = 30. What is t?
28. 28.Find the value of 9a + 9b when a = 3 and b = 10.
29. 29.Find the value of 6p − 13 when p = 11.
30. 30.Zoya shares m kites equally among 2 friends. Which expression shows how many kites each friend gets? (a) m − 2 (b) 2m (c) m + 2 (d) m ÷ 2
31. 31.Diya shares m flowers equally among 3 friends. Which expression shows how many flowers each friend gets? (a) m ÷ 3 (b) m + 3 (c) m − 3 (d) 3m
32. 32.Priya has n books. A friend has 9 times as many. Which expression shows how many books the friend has? (a) 9n (b) n ÷ 9 (c) n + 9 (d) n − 9
33. 33.Find the value of 2p + 13 when p = 12.
34. 34.Find the value of 6a + 8b when a = 8 and b = 6.
35. 35.Find the value of 9a + 3b when a = 10 and b = 7.
36. 36.Find the value of 6p + 6 when p = 10.
37. 37.Solve: n − 6 = 3. What is n?
38. 38.Find the value of 5x + 11 when x = 2.
39. 39.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
40. 40.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?

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