Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 498 · 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.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 13 letters?
2. 2.Find the value of 3a + 8b when a = 6 and b = 1.
3. 3.Solve: p − 3 = 6. What is p?
4. 4.Find the value of 5a + 5b when a = 2 and b = 9.
5. 5.Isha has p laddoos. A friend has 5 more. Which expression shows how many laddoos the friend has? (a) p ÷ 5 (b) 5p (c) p + 5 (d) p − 5
6. 6.Find the value of 2a + 3b when a = 8 and b = 2.
7. 7.Find the value of 8y − 24 when y = 11.
8. 8.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 6 letters?
9. 9.Find the value of 7t − 58 when t = 11.
10. 10.Find the value of 7a + 6b when a = 7 and b = 1.
11. 11.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
12. 12.Solve: t − 11 = 2. What is t?
13. 13.Solve: p ÷ 4 = 1. What is p?
14. 14.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
15. 15.Find the value of 9y + 20 when y = 7.
16. 16.Aarav shares k flowers equally among 2 friends. Which expression shows how many flowers each friend gets? (a) 2k (b) k − 2 (c) k + 2 (d) k ÷ 2
17. 17.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
18. 18.Find the value of 2a + 3b when a = 10 and b = 1.
19. 19.Zoya shares p shells equally among 2 friends. Which expression shows how many shells each friend gets? (a) p + 2 (b) p ÷ 2 (c) p − 2 (d) 2p
20. 20.Find the value of 5a + 9b when a = 10 and b = 5.
21. 21.Solve: x ÷ 4 = 19. What is x?
22. 22.Gurpreet has m shells. A friend has 2 more. Which expression shows how many shells the friend has? (a) 2m (b) m − 2 (c) m ÷ 2 (d) m + 2
23. 23.Solve: x ÷ 4 = 11. What is x?
24. 24.Solve: p + 12 = 24. What is p?
25. 25.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
26. 26.Find the value of 5n + 5 when n = 1.
27. 27.Solve: y + 11 = 26. What is y?
28. 28.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 22 letters?
29. 29.Find the value of 7a + 2b when a = 4 and b = 5.
30. 30.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
31. 31.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
32. 32.Find the value of 2t − 16 when t = 9.
33. 33.Meera has n balls. A friend has 7 more. Which expression shows how many balls the friend has? (a) n ÷ 7 (b) 7n (c) n + 7 (d) n − 7
34. 34.Solve: p − 2 = 20. What is p?
35. 35.Find the value of 5x − 21 when x = 8.
36. 36.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
37. 37.Find the value of 7a + 9b when a = 5 and b = 1.
38. 38.Find the value of 2p + 3 when p = 7.
39. 39.Find the value of 2a + 2b when a = 9 and b = 7.
40. 40.Find the value of 5n + 8 when n = 8.

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