Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 123 · 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 5x + 20 when x = 6.
2. 2.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 24 letters?
3. 3.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
4. 4.Nisha has n crayons. A friend has 8 more. Which expression shows how many crayons the friend has? (a) n ÷ 8 (b) n − 8 (c) n + 8 (d) 8n
5. 5.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
6. 6.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
7. 7.Find the value of 6m + 15 when m = 1.
8. 8.Find the value of 2x + 17 when x = 11.
9. 9.Find the value of 4x + 14 when x = 7.
10. 10.Find the value of 7p + 20 when p = 3.
11. 11.Find the value of 6m + 15 when m = 10.
12. 12.Solve: t ÷ 12 = 3. What is t?
13. 13.Ishaan shares n crayons equally among 5 friends. Which expression shows how many crayons each friend gets? (a) n + 5 (b) 5n (c) n ÷ 5 (d) n − 5
14. 14.Find the value of 3p + 3 when p = 10.
15. 15.Find the value of 9a + 5b when a = 5 and b = 2.
16. 16.Find the value of 4a + 6b when a = 4 and b = 6.
17. 17.Find the value of 5y + 12 when y = 5.
18. 18.Arjun has p mangoes. A friend has 8 more. Which expression shows how many mangoes the friend has? (a) p + 8 (b) p ÷ 8 (c) p − 8 (d) 8p
19. 19.Rahul has k crayons. A friend has 3 fewer. Which expression shows how many crayons the friend has? (a) k − 3 (b) 3k (c) k ÷ 3 (d) k + 3
20. 20.Riya shares m pencils equally among 7 friends. Which expression shows how many pencils each friend gets? (a) m − 7 (b) m ÷ 7 (c) m + 7 (d) 7m
21. 21.Nisha has m flowers. A friend has 2 more. Which expression shows how many flowers the friend has? (a) 2m (b) m − 2 (c) m ÷ 2 (d) m + 2
22. 22.Find the value of 7p + 5 when p = 9.
23. 23.Find the value of 5a + 3b when a = 3 and b = 7.
24. 24.Solve: 5t = 55. What is t?
25. 25.Find the value of 8a + 4b when a = 1 and b = 6.
26. 26.Solve: x − 11 = 5. What is x?
27. 27.Find the value of 4t − 6 when t = 5.
28. 28.Find the value of 9a + 3b when a = 8 and b = 8.
29. 29.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
30. 30.Solve: m + 5 = 25. What is m?
31. 31.Find the value of 6p − 41 when p = 7.
32. 32.Find the value of 2a + 3b when a = 6 and b = 4.
33. 33.Find the value of 9a + 4b when a = 6 and b = 1.
34. 34.Find the value of 8n + 15 when n = 4.
35. 35.Find the value of 3p − 2 when p = 1.
36. 36.Solve: 5m = 55. What is m?
37. 37.Find the value of 8x − 37 when x = 5.
38. 38.Manav has m balloons. A friend has 7 times as many. Which expression shows how many balloons the friend has? (a) m ÷ 7 (b) m − 7 (c) 7m (d) m + 7
39. 39.Solve: x − 9 = 2. What is x?
40. 40.Arjun has p shells. A friend has 3 more. Which expression shows how many shells the friend has? (a) p + 3 (b) 3p (c) p − 3 (d) p ÷ 3

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