Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 520 · 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.Meera has p books. A friend has 5 fewer. Which expression shows how many books the friend has? (a) 5p (b) p ÷ 5 (c) p + 5 (d) p − 5
2. 2.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
3. 3.Solve: y ÷ 5 = 3. What is y?
4. 4.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
5. 5.Find the value of 3m + 4 when m = 4.
6. 6.Find the value of 6a + 3b when a = 6 and b = 9.
7. 7.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
8. 8.Find the value of 2a + 5b when a = 7 and b = 6.
9. 9.Find the value of 8a + 3b when a = 2 and b = 3.
10. 10.Find the value of 2a + 2b when a = 9 and b = 3.
11. 11.Ishaan has m laddoos. A friend has 7 fewer. Which expression shows how many laddoos the friend has? (a) 7m (b) m + 7 (c) m ÷ 7 (d) m − 7
12. 12.Aditya has p marbles. A friend has 7 more. Which expression shows how many marbles the friend has? (a) p ÷ 7 (b) p + 7 (c) p − 7 (d) 7p
13. 13.Diya has n crayons. A friend has 7 times as many. Which expression shows how many crayons the friend has? (a) n ÷ 7 (b) 7n (c) n + 7 (d) n − 7
14. 14.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
15. 15.Find the value of 7x − 43 when x = 8.
16. 16.Find the value of 9a + 4b when a = 5 and b = 9.
17. 17.Find the value of 7a + 9b when a = 2 and b = 5.
18. 18.Find the value of 4y + 8 when y = 10.
19. 19.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
20. 20.Kabir has k crayons. A friend has 2 times as many. Which expression shows how many crayons the friend has? (a) 2k (b) k − 2 (c) k ÷ 2 (d) k + 2
21. 21.Find the value of 5a + 8b when a = 7 and b = 8.
22. 22.Solve: m + 8 = 27. What is m?
23. 23.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 29 letters?
24. 24.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
25. 25.Solve: n − 11 = 4. What is n?
26. 26.Find the value of 6a + 9b when a = 7 and b = 1.
27. 27.Solve: t + 10 = 28. What is t?
28. 28.Solve: p − 11 = 17. What is p?
29. 29.Find the value of 4p + 4 when p = 7.
30. 30.Find the value of 2n − 5 when n = 4.
31. 31.Dev has n crayons. A friend has 2 times as many. Which expression shows how many crayons the friend has? (a) n + 2 (b) 2n (c) n ÷ 2 (d) n − 2
32. 32.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
33. 33.Find the value of 3a + 7b when a = 6 and b = 7.
34. 34.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
35. 35.Find the value of 4m − 6 when m = 5.
36. 36.Find the value of 6n + 7 when n = 10.
37. 37.Find the value of 2t + 3 when t = 2.
38. 38.Find the value of 6a + 2b when a = 6 and b = 8.
39. 39.Find the value of 9y − 65 when y = 10.
40. 40.Lakshmi has k pencils. A friend has 4 fewer. Which expression shows how many pencils the friend has? (a) 4k (b) k ÷ 4 (c) k + 4 (d) k − 4

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