Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 48 · 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 7y − 45 when y = 7.
2. 2.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
3. 3.Find the value of 7x − 4 when x = 3.
4. 4.Find the value of 9a + 6b when a = 5 and b = 4.
5. 5.Find the value of 4a + 7b when a = 4 and b = 9.
6. 6.Solve: x − 3 = 19. What is x?
7. 7.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 27 letters?
8. 8.Find the value of 9p + 2 when p = 11.
9. 9.Rohan has m books. A friend has 3 times as many. Which expression shows how many books the friend has? (a) 3m (b) m ÷ 3 (c) m + 3 (d) m − 3
10. 10.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
11. 11.Find the value of 6a + 6b when a = 9 and b = 1.
12. 12.Find the value of 4a + 5b when a = 3 and b = 2.
13. 13.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
14. 14.Find the value of 5y − 7 when y = 4.
15. 15.Find the value of 4a + 2b when a = 4 and b = 7.
16. 16.Solve: y + 5 = 19. What is y?
17. 17.Find the value of 3a + 3b when a = 8 and b = 1.
18. 18.Find the value of 8a + 4b when a = 10 and b = 2.
19. 19.Find the value of 2a + 9b when a = 10 and b = 2.
20. 20.Find the value of 4a + 3b when a = 4 and b = 4.
21. 21.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
22. 22.Find the value of 3x − 1 when x = 4.
23. 23.Find the value of 3a + 8b when a = 8 and b = 5.
24. 24.Find the value of 5y − 10 when y = 3.
25. 25.Find the value of 4a + 5b when a = 7 and b = 7.
26. 26.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
27. 27.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
28. 28.Arjun has m books. A friend has 9 more. Which expression shows how many books the friend has? (a) m − 9 (b) 9m (c) m + 9 (d) m ÷ 9
29. 29.Find the value of 7t − 17 when t = 12.
30. 30.Find the value of 4a + 8b when a = 2 and b = 5.
31. 31.Find the value of 3t − 20 when t = 9.
32. 32.Find the value of 2p − 8 when p = 6.
33. 33.Solve: m + 5 = 14. What is m?
34. 34.Pooja shares m kites equally among 9 friends. Which expression shows how many kites each friend gets? (a) m − 9 (b) m + 9 (c) 9m (d) m ÷ 9
35. 35.Find the value of 7a + 8b when a = 10 and b = 7.
36. 36.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
37. 37.Priya has k balls. A friend has 9 more. Which expression shows how many balls the friend has? (a) k − 9 (b) k ÷ 9 (c) 9k (d) k + 9
38. 38.Find the value of 7a + 5b when a = 1 and b = 7.
39. 39.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
40. 40.Find the value of 6a + 3b when a = 9 and b = 5.

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