Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 546 · 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 H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
2. 2.Joseph has p books. A friend has 8 fewer. Which expression shows how many books the friend has? (a) p + 8 (b) 8p (c) p − 8 (d) p ÷ 8
3. 3.Find the value of 9x + 18 when x = 3.
4. 4.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
5. 5.Zoya has m books. A friend has 5 times as many. Which expression shows how many books the friend has? (a) 5m (b) m − 5 (c) m ÷ 5 (d) m + 5
6. 6.Find the value of 2a + 7b when a = 8 and b = 10.
7. 7.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
8. 8.Find the value of 9m − 28 when m = 6.
9. 9.Find the value of 3a + 2b when a = 3 and b = 4.
10. 10.Find the value of 4x − 2 when x = 5.
11. 11.Find the value of 3n − 5 when n = 4.
12. 12.Solve: y − 3 = 8. What is y?
13. 13.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 13 letters?
14. 14.Find the value of 8t + 13 when t = 4.
15. 15.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
16. 16.Find the value of 5a + 3b when a = 8 and b = 2.
17. 17.Solve: t + 6 = 19. What is t?
18. 18.Find the value of 8p + 14 when p = 8.
19. 19.Solve: y + 5 = 20. What is y?
20. 20.Find the value of 5a + 3b when a = 3 and b = 9.
21. 21.Find the value of 8m + 9 when m = 12.
22. 22.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
23. 23.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
24. 24.Find the value of 6a + 7b when a = 3 and b = 6.
25. 25.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 29 letters?
26. 26.Find the value of 5a + 6b when a = 4 and b = 4.
27. 27.Find the value of 6a + 5b when a = 1 and b = 3.
28. 28.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
29. 29.Ananya has n marbles. A friend has 7 fewer. Which expression shows how many marbles the friend has? (a) n − 7 (b) n + 7 (c) n ÷ 7 (d) 7n
30. 30.Find the value of 9a + 3b when a = 1 and b = 8.
31. 31.Solve: x + 3 = 16. What is x?
32. 32.Find the value of 5y + 9 when y = 7.
33. 33.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 9 letters?
34. 34.Solve: x − 8 = 6. What is x?
35. 35.Find the value of 5a + 9b when a = 9 and b = 4.
36. 36.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
37. 37.Sneha has n balloons. A friend has 6 more. Which expression shows how many balloons the friend has? (a) n ÷ 6 (b) n + 6 (c) 6n (d) n − 6
38. 38.Find the value of 3a + 5b when a = 9 and b = 1.
39. 39.Find the value of 2x − 1 when x = 1.
40. 40.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?

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