Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 55 · 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 U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
2. 2.Solve: p + 6 = 15. What is p?
3. 3.Find the value of 9a + 8b when a = 2 and b = 5.
4. 4.Solve: 4y = 72. What is y?
5. 5.Find the value of 2a + 2b when a = 8 and b = 8.
6. 6.Find the value of 5m − 1 when m = 1.
7. 7.Solve: x + 9 = 15. What is x?
8. 8.Find the value of 5a + 3b when a = 9 and b = 4.
9. 9.Find the value of 5a + 3b when a = 5 and b = 8.
10. 10.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 19 letters?
11. 11.Find the value of 8t + 12 when t = 10.
12. 12.Find the value of 7a + 2b when a = 4 and b = 10.
13. 13.Find the value of 9t + 14 when t = 12.
14. 14.Find the value of 5t − 9 when t = 4.
15. 15.Solve: m ÷ 2 = 11. What is m?
16. 16.Find the value of 4p − 36 when p = 10.
17. 17.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 26 letters?
18. 18.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
19. 19.Solve: p + 5 = 11. What is p?
20. 20.Find the value of 2y + 17 when y = 12.
21. 21.Isha shares n mangoes equally among 5 friends. Which expression shows how many mangoes each friend gets? (a) n + 5 (b) 5n (c) n − 5 (d) n ÷ 5
22. 22.Find the value of 7a + 7b when a = 4 and b = 9.
23. 23.Find the value of 7a + 9b when a = 9 and b = 4.
24. 24.Rohan has m crayons. A friend has 7 fewer. Which expression shows how many crayons the friend has? (a) m ÷ 7 (b) m + 7 (c) m − 7 (d) 7m
25. 25.Find the value of 6a + 8b when a = 9 and b = 3.
26. 26.Find the value of 7x − 57 when x = 12.
27. 27.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
28. 28.Aarav has n mangoes. A friend has 3 times as many. Which expression shows how many mangoes the friend has? (a) n + 3 (b) n − 3 (c) n ÷ 3 (d) 3n
29. 29.Solve: 2t = 18. What is t?
30. 30.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
31. 31.Priya shares k balls equally among 8 friends. Which expression shows how many balls each friend gets? (a) k ÷ 8 (b) k + 8 (c) k − 8 (d) 8k
32. 32.Rahul has k flowers. A friend has 5 more. Which expression shows how many flowers the friend has? (a) k ÷ 5 (b) 5k (c) k − 5 (d) k + 5
33. 33.Meera shares n flowers equally among 3 friends. Which expression shows how many flowers each friend gets? (a) n − 3 (b) n + 3 (c) 3n (d) n ÷ 3
34. 34.Find the value of 4p + 20 when p = 9.
35. 35.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
36. 36.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 12 letters?
37. 37.Meera shares n kites equally among 3 friends. Which expression shows how many kites each friend gets? (a) n − 3 (b) n ÷ 3 (c) 3n (d) n + 3
38. 38.Find the value of 5y − 53 when y = 11.
39. 39.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 10 letters?
40. 40.Find the value of 3t − 26 when t = 10.

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