Class 6 Maths Worksheet: Algebra

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

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets