Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 485 · 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 6y − 24 when y = 6.
2. 2.Ananya shares n mangoes equally among 6 friends. Which expression shows how many mangoes each friend gets? (a) n + 6 (b) 6n (c) n − 6 (d) n ÷ 6
3. 3.Find the value of 8t + 4 when t = 4.
4. 4.Solve: x − 7 = 9. What is x?
5. 5.Priya has p laddoos. A friend has 9 more. Which expression shows how many laddoos the friend has? (a) p + 9 (b) p − 9 (c) p ÷ 9 (d) 9p
6. 6.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
7. 7.Find the value of 2t + 3 when t = 2.
8. 8.Vivaan has p flowers. A friend has 5 more. Which expression shows how many flowers the friend has? (a) 5p (b) p − 5 (c) p ÷ 5 (d) p + 5
9. 9.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
10. 10.Farhan has p pencils. A friend has 2 more. Which expression shows how many pencils the friend has? (a) p − 2 (b) p ÷ 2 (c) p + 2 (d) 2p
11. 11.Find the value of 8m + 8 when m = 2.
12. 12.Solve: n + 10 = 24. What is n?
13. 13.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
14. 14.Find the value of 8p + 12 when p = 12.
15. 15.Saanvi has p flowers. A friend has 3 more. Which expression shows how many flowers the friend has? (a) p ÷ 3 (b) p + 3 (c) 3p (d) p − 3
16. 16.Find the value of 8x − 55 when x = 12.
17. 17.Rohan has n laddoos. A friend has 2 fewer. Which expression shows how many laddoos the friend has? (a) 2n (b) n ÷ 2 (c) n − 2 (d) n + 2
18. 18.Find the value of 2p − 8 when p = 8.
19. 19.Find the value of 2n − 9 when n = 8.
20. 20.Find the value of 8a + 4b when a = 1 and b = 7.
21. 21.Solve: y − 2 = 4. What is y?
22. 22.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
23. 23.Find the value of 7a + 7b when a = 3 and b = 6.
24. 24.Find the value of 5t − 10 when t = 5.
25. 25.Find the value of 5y − 7 when y = 2.
26. 26.Priya has k marbles. A friend has 7 more. Which expression shows how many marbles the friend has? (a) k − 7 (b) 7k (c) k + 7 (d) k ÷ 7
27. 27.Lakshmi has n bananas. A friend has 3 fewer. Which expression shows how many bananas the friend has? (a) 3n (b) n ÷ 3 (c) n − 3 (d) n + 3
28. 28.Solve: m + 2 = 7. What is m?
29. 29.Find the value of 2p + 20 when p = 7.
30. 30.Aarav has n kites. A friend has 6 fewer. Which expression shows how many kites the friend has? (a) n + 6 (b) 6n (c) n − 6 (d) n ÷ 6
31. 31.Solve: t + 4 = 22. What is t?
32. 32.Find the value of 4x − 4 when x = 2.
33. 33.Find the value of 7y − 33 when y = 6.
34. 34.Solve: t − 4 = 8. What is t?
35. 35.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
36. 36.Find the value of 9n − 29 when n = 11.
37. 37.Find the value of 4p − 4 when p = 3.
38. 38.Find the value of 2t + 15 when t = 11.
39. 39.Find the value of 4a + 7b when a = 6 and b = 3.
40. 40.Find the value of 8x + 9 when x = 9.

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