Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 587 · 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 3m − 8 when m = 7.
2. 2.Find the value of 5t − 4 when t = 1.
3. 3.Solve: y + 10 = 13. What is y?
4. 4.Find the value of 2y + 12 when y = 7.
5. 5.Find the value of 2a + 4b when a = 7 and b = 9.
6. 6.Find the value of 8a + 4b when a = 3 and b = 3.
7. 7.Find the value of 4y + 18 when y = 3.
8. 8.Find the value of 2m + 3 when m = 2.
9. 9.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
10. 10.Solve: 12t = 216. What is t?
11. 11.Solve: m + 4 = 24. What is m?
12. 12.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
13. 13.Solve: 6p = 120. What is p?
14. 14.Pooja has m crayons. A friend has 4 more. Which expression shows how many crayons the friend has? (a) m ÷ 4 (b) m − 4 (c) 4m (d) m + 4
15. 15.Pooja has n laddoos. A friend has 8 times as many. Which expression shows how many laddoos the friend has? (a) 8n (b) n + 8 (c) n − 8 (d) n ÷ 8
16. 16.Karan has m pencils. A friend has 7 fewer. Which expression shows how many pencils the friend has? (a) m − 7 (b) m + 7 (c) m ÷ 7 (d) 7m
17. 17.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
18. 18.Kabir has k pencils. A friend has 2 fewer. Which expression shows how many pencils the friend has? (a) k ÷ 2 (b) k + 2 (c) 2k (d) k − 2
19. 19.Find the value of 9a + 5b when a = 3 and b = 4.
20. 20.Arjun has n balloons. A friend has 2 fewer. Which expression shows how many balloons the friend has? (a) n + 2 (b) n ÷ 2 (c) 2n (d) n − 2
21. 21.Find the value of 9m − 18 when m = 3.
22. 22.Diya shares n flowers equally among 9 friends. Which expression shows how many flowers each friend gets? (a) n + 9 (b) n − 9 (c) n ÷ 9 (d) 9n
23. 23.Solve: x + 12 = 18. What is x?
24. 24.Aarav shares p kites equally among 5 friends. Which expression shows how many kites each friend gets? (a) 5p (b) p − 5 (c) p + 5 (d) p ÷ 5
25. 25.Find the value of 8a + 9b when a = 4 and b = 3.
26. 26.Find the value of 6a + 9b when a = 5 and b = 7.
27. 27.Find the value of 4a + 5b when a = 8 and b = 1.
28. 28.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
29. 29.Isha has n books. A friend has 2 fewer. Which expression shows how many books the friend has? (a) n + 2 (b) 2n (c) n ÷ 2 (d) n − 2
30. 30.Solve: 9m = 162. What is m?
31. 31.Find the value of 6a + 5b when a = 7 and b = 1.
32. 32.Find the value of 5a + 6b when a = 7 and b = 5.
33. 33.Find the value of 4a + 3b when a = 9 and b = 4.
34. 34.Find the value of 9a + 3b when a = 7 and b = 8.
35. 35.Find the value of 6m − 7 when m = 8.
36. 36.Find the value of 8a + 4b when a = 8 and b = 1.
37. 37.Solve: m + 2 = 11. What is m?
38. 38.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
39. 39.Find the value of 9a + 3b when a = 4 and b = 5.
40. 40.Find the value of 3m + 11 when m = 3.

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