Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 384 · 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 3p + 1 when p = 3.
2. 2.Find the value of 9y − 6 when y = 2.
3. 3.Find the value of 9a + 3b when a = 9 and b = 1.
4. 4.Find the value of 6a + 4b when a = 3 and b = 4.
5. 5.Solve: 3m = 51. What is m?
6. 6.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
7. 7.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
8. 8.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
9. 9.Find the value of 3y + 7 when y = 11.
10. 10.Find the value of 7a + 5b when a = 4 and b = 2.
11. 11.Find the value of 7a + 7b when a = 2 and b = 1.
12. 12.Find the value of 9a + 6b when a = 2 and b = 9.
13. 13.Find the value of 5x + 13 when x = 9.
14. 14.Rahul has p mangoes. A friend has 3 more. Which expression shows how many mangoes the friend has? (a) p − 3 (b) p ÷ 3 (c) 3p (d) p + 3
15. 15.Solve: 8p = 144. What is p?
16. 16.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
17. 17.Solve: m − 2 = 13. What is m?
18. 18.Solve: p + 5 = 23. What is p?
19. 19.Find the value of 2t − 1 when t = 4.
20. 20.Find the value of 3p + 10 when p = 5.
21. 21.Find the value of 6m + 11 when m = 7.
22. 22.Find the value of 2a + 7b when a = 5 and b = 9.
23. 23.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
24. 24.Aarav shares k crayons equally among 8 friends. Which expression shows how many crayons each friend gets? (a) 8k (b) k − 8 (c) k + 8 (d) k ÷ 8
25. 25.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
26. 26.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
27. 27.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 10 letters?
28. 28.Solve: 8y = 104. What is y?
29. 29.Solve: 9n = 171. What is n?
30. 30.Find the value of 6a + 5b when a = 7 and b = 6.
31. 31.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
32. 32.Ishaan has n books. A friend has 4 more. Which expression shows how many books the friend has? (a) n − 4 (b) n ÷ 4 (c) n + 4 (d) 4n
33. 33.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
34. 34.Ananya has p books. A friend has 5 more. Which expression shows how many books the friend has? (a) p − 5 (b) p ÷ 5 (c) 5p (d) p + 5
35. 35.Find the value of 5y + 1 when y = 10.
36. 36.Find the value of 3y + 14 when y = 1.
37. 37.Find the value of 9m − 10 when m = 2.
38. 38.Solve: t ÷ 12 = 5. What is t?
39. 39.Find the value of 4y + 8 when y = 9.
40. 40.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?

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