Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 247 · 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 21 letters?
2. 2.Solve: x + 12 = 21. What is x?
3. 3.Find the value of 2a + 4b when a = 3 and b = 7.
4. 4.Find the value of 8a + 7b when a = 5 and b = 7.
5. 5.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
6. 6.Solve: t + 9 = 29. What is t?
7. 7.Find the value of 5a + 3b when a = 2 and b = 7.
8. 8.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
9. 9.Find the value of 6p + 14 when p = 8.
10. 10.Solve: 10n = 170. What is n?
11. 11.Find the value of 9a + 5b when a = 9 and b = 3.
12. 12.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
13. 13.Find the value of 3t + 2 when t = 4.
14. 14.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 28 letters?
15. 15.Solve: x + 7 = 17. What is x?
16. 16.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
17. 17.Solve: m − 7 = 6. What is m?
18. 18.Find the value of 2a + 2b when a = 4 and b = 4.
19. 19.Find the value of 7a + 5b when a = 3 and b = 3.
20. 20.Find the value of 9t + 13 when t = 6.
21. 21.Joseph shares k balls equally among 9 friends. Which expression shows how many balls each friend gets? (a) 9k (b) k − 9 (c) k ÷ 9 (d) k + 9
22. 22.Solve: n + 10 = 28. What is n?
23. 23.Gurpreet has p pencils. A friend has 5 more. Which expression shows how many pencils the friend has? (a) p − 5 (b) p ÷ 5 (c) p + 5 (d) 5p
24. 24.Sneha has p balls. A friend has 3 more. Which expression shows how many balls the friend has? (a) p − 3 (b) p + 3 (c) p ÷ 3 (d) 3p
25. 25.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
26. 26.Karan shares k kites equally among 9 friends. Which expression shows how many kites each friend gets? (a) 9k (b) k + 9 (c) k − 9 (d) k ÷ 9
27. 27.Find the value of 5x − 8 when x = 4.
28. 28.Find the value of 8a + 4b when a = 10 and b = 9.
29. 29.Find the value of 5t + 3 when t = 3.
30. 30.Find the value of 8a + 4b when a = 2 and b = 2.
31. 31.Find the value of 4a + 3b when a = 6 and b = 1.
32. 32.Pooja shares n shells equally among 6 friends. Which expression shows how many shells each friend gets? (a) 6n (b) n ÷ 6 (c) n + 6 (d) n − 6
33. 33.Solve: n + 4 = 15. What is n?
34. 34.Aarav has n crayons. A friend has 7 more. Which expression shows how many crayons the friend has? (a) 7n (b) n ÷ 7 (c) n − 7 (d) n + 7
35. 35.Find the value of 8a + 6b when a = 5 and b = 7.
36. 36.Find the value of 3a + 4b when a = 7 and b = 10.
37. 37.Find the value of 5a + 9b when a = 3 and b = 2.
38. 38.Find the value of 3a + 5b when a = 8 and b = 1.
39. 39.Solve: y + 7 = 27. What is y?
40. 40.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?

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