Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 406 · 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: 7n = 42. What is n?
2. 2.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
3. 3.Solve: n ÷ 7 = 8. What is n?
4. 4.Solve: m + 11 = 15. What is m?
5. 5.Ananya has k pencils. A friend has 4 more. Which expression shows how many pencils the friend has? (a) k ÷ 4 (b) k − 4 (c) k + 4 (d) 4k
6. 6.Find the value of 9a + 2b when a = 3 and b = 6.
7. 7.Aarav has n books. A friend has 4 fewer. Which expression shows how many books the friend has? (a) n + 4 (b) n − 4 (c) n ÷ 4 (d) 4n
8. 8.Solve: y + 7 = 9. What is y?
9. 9.Find the value of 3a + 3b when a = 3 and b = 9.
10. 10.Find the value of 7y − 17 when y = 5.
11. 11.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
12. 12.Find the value of 7x + 12 when x = 12.
13. 13.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
14. 14.Lakshmi has m shells. A friend has 4 times as many. Which expression shows how many shells the friend has? (a) 4m (b) m ÷ 4 (c) m − 4 (d) m + 4
15. 15.Solve: x + 10 = 25. What is x?
16. 16.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 14 letters?
17. 17.Find the value of 7a + 8b when a = 5 and b = 2.
18. 18.Find the value of 9a + 9b when a = 10 and b = 7.
19. 19.Find the value of 3a + 9b when a = 5 and b = 7.
20. 20.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
21. 21.Solve: 5t = 85. What is t?
22. 22.Solve: y − 6 = 6. What is y?
23. 23.Find the value of 7a + 6b when a = 8 and b = 9.
24. 24.Find the value of 6m − 10 when m = 2.
25. 25.Aditya has p shells. A friend has 9 fewer. Which expression shows how many shells the friend has? (a) p ÷ 9 (b) p + 9 (c) p − 9 (d) 9p
26. 26.Solve: y + 11 = 26. What is y?
27. 27.Find the value of 5p − 2 when p = 6.
28. 28.Saanvi has n mangoes. A friend has 7 times as many. Which expression shows how many mangoes the friend has? (a) n ÷ 7 (b) n − 7 (c) n + 7 (d) 7n
29. 29.Kabir has m laddoos. A friend has 9 fewer. Which expression shows how many laddoos the friend has? (a) m ÷ 9 (b) 9m (c) m − 9 (d) m + 9
30. 30.Find the value of 3a + 5b when a = 3 and b = 10.
31. 31.Find the value of 8a + 8b when a = 9 and b = 10.
32. 32.Find the value of 5y − 27 when y = 7.
33. 33.Find the value of 5y + 16 when y = 3.
34. 34.Aditya shares n kites equally among 4 friends. Which expression shows how many kites each friend gets? (a) n − 4 (b) 4n (c) n ÷ 4 (d) n + 4
35. 35.Kavya has p flowers. A friend has 8 times as many. Which expression shows how many flowers the friend has? (a) p ÷ 8 (b) p + 8 (c) 8p (d) p − 8
36. 36.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 5 letters?
37. 37.Find the value of 7n − 22 when n = 4.
38. 38.Solve: x ÷ 6 = 8. What is x?
39. 39.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 17 letters?
40. 40.Find the value of 5a + 3b when a = 5 and b = 5.

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