Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 175 · 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 6a + 3b when a = 7 and b = 3.
2. 2.Find the value of 7m − 10 when m = 10.
3. 3.Find the value of 8x − 53 when x = 8.
4. 4.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
5. 5.Find the value of 9n − 54 when n = 7.
6. 6.Aarav has k bananas. A friend has 8 times as many. Which expression shows how many bananas the friend has? (a) k − 8 (b) k + 8 (c) k ÷ 8 (d) 8k
7. 7.Lakshmi has p balloons. A friend has 3 more. Which expression shows how many balloons the friend has? (a) p + 3 (b) p − 3 (c) p ÷ 3 (d) 3p
8. 8.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
9. 9.Find the value of 4n + 4 when n = 9.
10. 10.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
11. 11.Solve: p ÷ 8 = 1. What is p?
12. 12.Pooja shares p balls equally among 3 friends. Which expression shows how many balls each friend gets? (a) p − 3 (b) 3p (c) p ÷ 3 (d) p + 3
13. 13.Solve: m − 10 = 14. What is m?
14. 14.Find the value of 2p − 4 when p = 9.
15. 15.Find the value of 4a + 9b when a = 1 and b = 10.
16. 16.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
17. 17.Find the value of 8a + 2b when a = 9 and b = 10.
18. 18.Aarav has k shells. A friend has 9 times as many. Which expression shows how many shells the friend has? (a) 9k (b) k − 9 (c) k + 9 (d) k ÷ 9
19. 19.Find the value of 3x + 12 when x = 5.
20. 20.Solve: t + 4 = 24. What is t?
21. 21.Solve: y − 5 = 1. What is y?
22. 22.Meera has p mangoes. A friend has 8 times as many. Which expression shows how many mangoes the friend has? (a) p + 8 (b) p − 8 (c) 8p (d) p ÷ 8
23. 23.Aarav shares m kites equally among 3 friends. Which expression shows how many kites each friend gets? (a) m + 3 (b) m ÷ 3 (c) 3m (d) m − 3
24. 24.Find the value of 2a + 4b when a = 6 and b = 9.
25. 25.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
26. 26.Find the value of 2y + 13 when y = 5.
27. 27.Find the value of 3y + 6 when y = 4.
28. 28.Find the value of 9y + 15 when y = 12.
29. 29.Joseph has m pencils. A friend has 9 times as many. Which expression shows how many pencils the friend has? (a) m − 9 (b) m + 9 (c) 9m (d) m ÷ 9
30. 30.Solve: x − 11 = 1. What is x?
31. 31.Ananya shares p kites equally among 7 friends. Which expression shows how many kites each friend gets? (a) p + 7 (b) p − 7 (c) p ÷ 7 (d) 7p
32. 32.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
33. 33.Find the value of 9m − 14 when m = 5.
34. 34.Find the value of 6n + 18 when n = 3.
35. 35.Find the value of 8p + 14 when p = 10.
36. 36.Meera shares m balls equally among 7 friends. Which expression shows how many balls each friend gets? (a) m + 7 (b) m − 7 (c) 7m (d) m ÷ 7
37. 37.Find the value of 3a + 7b when a = 4 and b = 1.
38. 38.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
39. 39.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 19 letters?
40. 40.Arjun has m books. A friend has 5 more. Which expression shows how many books the friend has? (a) m ÷ 5 (b) m − 5 (c) m + 5 (d) 5m

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