Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 198 · 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 7a + 6b when a = 8 and b = 6.
2. 2.Isha shares n pencils equally among 8 friends. Which expression shows how many pencils each friend gets? (a) 8n (b) n + 8 (c) n − 8 (d) n ÷ 8
3. 3.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
4. 4.Solve: 7n = 21. What is n?
5. 5.Solve: 11n = 11. What is n?
6. 6.Find the value of 6a + 3b when a = 10 and b = 4.
7. 7.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
8. 8.Solve: y + 2 = 9. What is y?
9. 9.Find the value of 8x − 22 when x = 5.
10. 10.Joseph shares m mangoes equally among 7 friends. Which expression shows how many mangoes each friend gets? (a) m − 7 (b) m ÷ 7 (c) 7m (d) m + 7
11. 11.Diya has n kites. A friend has 4 more. Which expression shows how many kites the friend has? (a) n − 4 (b) n ÷ 4 (c) 4n (d) n + 4
12. 12.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
13. 13.Find the value of 5t + 7 when t = 3.
14. 14.Find the value of 4a + 4b when a = 5 and b = 2.
15. 15.Find the value of 5a + 9b when a = 3 and b = 6.
16. 16.Solve: m − 9 = 17. What is m?
17. 17.Find the value of 5a + 6b when a = 5 and b = 10.
18. 18.Find the value of 3a + 7b when a = 3 and b = 6.
19. 19.Isha has n balls. A friend has 6 fewer. Which expression shows how many balls the friend has? (a) 6n (b) n ÷ 6 (c) n + 6 (d) n − 6
20. 20.Find the value of 3y − 8 when y = 6.
21. 21.Solve: p − 12 = 6. What is p?
22. 22.Find the value of 9a + 5b when a = 4 and b = 4.
23. 23.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
24. 24.Find the value of 9n + 20 when n = 2.
25. 25.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
26. 26.Find the value of 2a + 7b when a = 10 and b = 3.
27. 27.Find the value of 9p + 6 when p = 2.
28. 28.Solve: m ÷ 4 = 13. What is m?
29. 29.Gurpreet has m balls. A friend has 8 times as many. Which expression shows how many balls 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 12 letters?
31. 31.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
32. 32.Find the value of 5m − 3 when m = 5.
33. 33.Find the value of 9x + 13 when x = 8.
34. 34.Find the value of 3a + 4b when a = 3 and b = 3.
35. 35.Find the value of 4a + 2b when a = 3 and b = 3.
36. 36.Karan has m crayons. A friend has 7 times as many. Which expression shows how many crayons the friend has? (a) m ÷ 7 (b) m − 7 (c) 7m (d) m + 7
37. 37.Find the value of 3m − 13 when m = 6.
38. 38.Diya has k pencils. A friend has 5 more. Which expression shows how many pencils the friend has? (a) k − 5 (b) 5k (c) k + 5 (d) k ÷ 5
39. 39.Find the value of 9y − 19 when y = 3.
40. 40.Solve: 5y = 50. What is y?

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