Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 385 · 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 9y − 4 when y = 1.
2. 2.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
3. 3.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
4. 4.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
5. 5.Rahul shares n marbles equally among 6 friends. Which expression shows how many marbles each friend gets? (a) n + 6 (b) 6n (c) n ÷ 6 (d) n − 6
6. 6.Solve: n − 7 = 3. What is n?
7. 7.Find the value of 7y + 19 when y = 5.
8. 8.Aarav has k balls. A friend has 2 times as many. Which expression shows how many balls the friend has? (a) k + 2 (b) k ÷ 2 (c) k − 2 (d) 2k
9. 9.Solve: t + 10 = 12. What is t?
10. 10.Kabir has p laddoos. A friend has 4 times as many. Which expression shows how many laddoos the friend has? (a) p ÷ 4 (b) 4p (c) p − 4 (d) p + 4
11. 11.Find the value of 6a + 8b when a = 7 and b = 7.
12. 12.Riya has m mangoes. A friend has 5 more. Which expression shows how many mangoes the friend has? (a) m − 5 (b) m ÷ 5 (c) 5m (d) m + 5
13. 13.Find the value of 3y − 2 when y = 5.
14. 14.Find the value of 6y − 13 when y = 12.
15. 15.Solve: 2t = 6. What is t?
16. 16.Find the value of 5a + 6b when a = 5 and b = 4.
17. 17.Find the value of 8p − 1 when p = 4.
18. 18.Find the value of 8a + 5b when a = 2 and b = 8.
19. 19.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
20. 20.Solve: p + 11 = 26. What is p?
21. 21.Find the value of 4a + 2b when a = 5 and b = 8.
22. 22.Find the value of 2t − 1 when t = 2.
23. 23.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 16 letters?
24. 24.Solve: x ÷ 2 = 1. What is x?
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.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
27. 27.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 16 letters?
28. 28.Solve: x ÷ 4 = 20. What is x?
29. 29.Find the value of 5p + 2 when p = 6.
30. 30.Solve: x ÷ 7 = 5. What is x?
31. 31.Find the value of 6m − 32 when m = 6.
32. 32.Solve: x + 12 = 27. What is x?
33. 33.Tara has n pencils. A friend has 3 fewer. Which expression shows how many pencils the friend has? (a) 3n (b) n − 3 (c) n + 3 (d) n ÷ 3
34. 34.Find the value of 3y − 16 when y = 9.
35. 35.Find the value of 6n + 18 when n = 9.
36. 36.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
37. 37.Aditya has p pencils. A friend has 5 fewer. Which expression shows how many pencils the friend has? (a) p ÷ 5 (b) 5p (c) p + 5 (d) p − 5
38. 38.Find the value of 5a + 6b when a = 7 and b = 8.
39. 39.Diya has n marbles. A friend has 7 more. Which expression shows how many marbles the friend has? (a) 7n (b) n ÷ 7 (c) n + 7 (d) n − 7
40. 40.Solve: y − 7 = 18. What is y?

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