Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 139 · 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 4a + 6b when a = 3 and b = 2.
2. 2.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
3. 3.Find the value of 9a + 7b when a = 3 and b = 8.
4. 4.Solve: 4p = 28. What is p?
5. 5.Find the value of 8t + 7 when t = 9.
6. 6.Solve: y − 4 = 1. What is y?
7. 7.Aarav has p mangoes. A friend has 3 more. Which expression shows how many mangoes the friend has? (a) p − 3 (b) 3p (c) p + 3 (d) p ÷ 3
8. 8.Find the value of 5a + 5b when a = 6 and b = 8.
9. 9.Diya shares m kites equally among 9 friends. Which expression shows how many kites each friend gets? (a) 9m (b) m ÷ 9 (c) m + 9 (d) m − 9
10. 10.Find the value of 6m − 64 when m = 11.
11. 11.Arjun shares p books equally among 5 friends. Which expression shows how many books each friend gets? (a) p − 5 (b) p ÷ 5 (c) 5p (d) p + 5
12. 12.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 12 letters?
13. 13.Manav has m flowers. A friend has 9 more. Which expression shows how many flowers the friend has? (a) m − 9 (b) m ÷ 9 (c) 9m (d) m + 9
14. 14.Find the value of 7y + 19 when y = 4.
15. 15.Meera has m marbles. A friend has 8 more. Which expression shows how many marbles the friend has? (a) m ÷ 8 (b) 8m (c) m − 8 (d) m + 8
16. 16.Find the value of 8x − 6 when x = 1.
17. 17.Find the value of 5n − 1 when n = 2.
18. 18.Ishaan has m pencils. A friend has 7 times as many. Which expression shows how many pencils the friend has? (a) m ÷ 7 (b) 7m (c) m + 7 (d) m − 7
19. 19.Find the value of 5m + 19 when m = 11.
20. 20.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
21. 21.Find the value of 5a + 2b when a = 2 and b = 9.
22. 22.Find the value of 9x + 5 when x = 5.
23. 23.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
24. 24.Find the value of 7p − 5 when p = 3.
25. 25.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
26. 26.Find the value of 2m − 4 when m = 5.
27. 27.Find the value of 8t − 5 when t = 12.
28. 28.Solve: y + 3 = 7. What is y?
29. 29.Find the value of 6a + 8b when a = 1 and b = 8.
30. 30.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
31. 31.Find the value of 5a + 5b when a = 9 and b = 8.
32. 32.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
33. 33.Find the value of 2y − 1 when y = 11.
34. 34.Solve: t − 10 = 17. What is t?
35. 35.Manav has m marbles. A friend has 6 times as many. Which expression shows how many marbles the friend has? (a) m ÷ 6 (b) m − 6 (c) 6m (d) m + 6
36. 36.Solve: 4y = 12. What is y?
37. 37.Rahul has n shells. A friend has 9 fewer. Which expression shows how many shells the friend has? (a) n − 9 (b) 9n (c) n + 9 (d) n ÷ 9
38. 38.Find the value of 9a + 9b when a = 2 and b = 8.
39. 39.Find the value of 9a + 4b when a = 7 and b = 2.
40. 40.Find the value of 6n + 18 when n = 4.

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