Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 438 · 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.Solve: m − 4 = 11. What is m?
2. 2.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
3. 3.Find the value of 2a + 3b when a = 4 and b = 10.
4. 4.Diya has k pencils. A friend has 6 more. Which expression shows how many pencils the friend has? (a) 6k (b) k + 6 (c) k ÷ 6 (d) k − 6
5. 5.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 10 letters?
6. 6.Find the value of 2a + 2b when a = 5 and b = 4.
7. 7.Aarav shares n books equally among 5 friends. Which expression shows how many books each friend gets? (a) n + 5 (b) n − 5 (c) n ÷ 5 (d) 5n
8. 8.Find the value of 5a + 5b when a = 2 and b = 3.
9. 9.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 17 letters?
10. 10.Find the value of 4x + 19 when x = 6.
11. 11.Find the value of 4t + 7 when t = 8.
12. 12.Solve: 5y = 25. What is y?
13. 13.Find the value of 2x − 4 when x = 3.
14. 14.Solve: x ÷ 8 = 17. What is x?
15. 15.Find the value of 8t − 69 when t = 9.
16. 16.Find the value of 4t + 8 when t = 9.
17. 17.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
18. 18.Find the value of 5n − 12 when n = 3.
19. 19.Find the value of 9a + 7b when a = 1 and b = 9.
20. 20.Solve: n + 2 = 20. What is n?
21. 21.Find the value of 3m + 1 when m = 1.
22. 22.Solve: y − 8 = 16. What is y?
23. 23.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
24. 24.Find the value of 4m + 16 when m = 4.
25. 25.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
26. 26.Find the value of 2y + 3 when y = 1.
27. 27.Find the value of 2n + 8 when n = 9.
28. 28.Find the value of 5m + 2 when m = 1.
29. 29.Find the value of 7p − 2 when p = 3.
30. 30.Solve: n ÷ 12 = 2. What is n?
31. 31.Find the value of 2y − 10 when y = 9.
32. 32.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
33. 33.Find the value of 3t − 2 when t = 3.
34. 34.Solve: 3y = 27. What is y?
35. 35.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
36. 36.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
37. 37.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
38. 38.Farhan has p mangoes. A friend has 9 times as many. Which expression shows how many mangoes the friend has? (a) 9p (b) p ÷ 9 (c) p + 9 (d) p − 9
39. 39.Priya shares k kites equally among 8 friends. Which expression shows how many kites each friend gets? (a) k + 8 (b) 8k (c) k ÷ 8 (d) k − 8
40. 40.Meera has k mangoes. A friend has 4 more. Which expression shows how many mangoes the friend has? (a) 4k (b) k − 4 (c) k + 4 (d) k ÷ 4

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