Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 295 · 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.Ishaan has p flowers. A friend has 4 times as many. Which expression shows how many flowers the friend has? (a) p − 4 (b) p + 4 (c) p ÷ 4 (d) 4p
2. 2.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
3. 3.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
4. 4.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
5. 5.Find the value of 5x − 17 when x = 5.
6. 6.Find the value of 6n − 10 when n = 4.
7. 7.Meera has m kites. A friend has 4 times as many. Which expression shows how many kites the friend has? (a) m − 4 (b) m ÷ 4 (c) m + 4 (d) 4m
8. 8.Solve: x + 3 = 18. What is x?
9. 9.Solve: n ÷ 9 = 7. What is n?
10. 10.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
11. 11.Find the value of 4a + 4b when a = 4 and b = 2.
12. 12.Lakshmi has k kites. A friend has 7 times as many. Which expression shows how many kites the friend has? (a) 7k (b) k ÷ 7 (c) k + 7 (d) k − 7
13. 13.Solve: x − 2 = 4. What is x?
14. 14.Find the value of 6y + 2 when y = 2.
15. 15.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 14 letters?
16. 16.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
17. 17.Find the value of 8a + 7b when a = 8 and b = 8.
18. 18.Solve: p + 9 = 25. What is p?
19. 19.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
20. 20.Dev has n laddoos. A friend has 6 fewer. Which expression shows how many laddoos the friend has? (a) n + 6 (b) n − 6 (c) 6n (d) n ÷ 6
21. 21.Find the value of 9t + 6 when t = 4.
22. 22.Isha has n crayons. A friend has 8 more. Which expression shows how many crayons the friend has? (a) 8n (b) n + 8 (c) n − 8 (d) n ÷ 8
23. 23.Solve: n + 2 = 16. What is n?
24. 24.Find the value of 6t − 43 when t = 9.
25. 25.Solve: y − 12 = 2. What is y?
26. 26.Solve: x + 12 = 22. What is x?
27. 27.Find the value of 7m − 26 when m = 9.
28. 28.Farhan has m books. A friend has 3 times as many. Which expression shows how many books the friend has? (a) 3m (b) m − 3 (c) m ÷ 3 (d) m + 3
29. 29.Solve: p + 4 = 20. What is p?
30. 30.Find the value of 4m − 24 when m = 7.
31. 31.Find the value of 4t − 3 when t = 1.
32. 32.Dev shares m kites equally among 8 friends. Which expression shows how many kites each friend gets? (a) 8m (b) m + 8 (c) m ÷ 8 (d) m − 8
33. 33.Find the value of 5x + 3 when x = 8.
34. 34.Solve: p + 2 = 15. What is p?
35. 35.Solve: x − 2 = 15. What is x?
36. 36.Solve: y ÷ 2 = 4. What is y?
37. 37.Find the value of 4a + 7b when a = 1 and b = 1.
38. 38.Find the value of 2y + 4 when y = 5.
39. 39.Find the value of 2a + 2b when a = 8 and b = 6.
40. 40.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?

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