Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 181 · 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 9a + 3b when a = 3 and b = 4.
2. 2.Find the value of 7y − 2 when y = 1.
3. 3.Find the value of 8a + 7b when a = 1 and b = 10.
4. 4.Find the value of 5m + 9 when m = 7.
5. 5.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
6. 6.Find the value of 6y − 10 when y = 11.
7. 7.Solve: p ÷ 6 = 19. What is p?
8. 8.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
9. 9.Isha shares p flowers equally among 2 friends. Which expression shows how many flowers each friend gets? (a) p ÷ 2 (b) p + 2 (c) p − 2 (d) 2p
10. 10.Gurpreet shares k flowers equally among 9 friends. Which expression shows how many flowers each friend gets? (a) k ÷ 9 (b) k − 9 (c) k + 9 (d) 9k
11. 11.Find the value of 3x − 5 when x = 3.
12. 12.Solve: n ÷ 5 = 6. What is n?
13. 13.Solve: t − 8 = 9. What is t?
14. 14.Find the value of 9x + 19 when x = 4.
15. 15.Find the value of 4m + 4 when m = 5.
16. 16.Solve: 7m = 84. What is m?
17. 17.Solve: y ÷ 3 = 5. What is y?
18. 18.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
19. 19.Joseph shares k pencils equally among 9 friends. Which expression shows how many pencils each friend gets? (a) 9k (b) k ÷ 9 (c) k − 9 (d) k + 9
20. 20.Sneha has p books. A friend has 5 more. Which expression shows how many books the friend has? (a) p − 5 (b) p + 5 (c) 5p (d) p ÷ 5
21. 21.Find the value of 3a + 5b when a = 4 and b = 8.
22. 22.Meera has n books. A friend has 4 times as many. Which expression shows how many books the friend has? (a) n − 4 (b) n + 4 (c) n ÷ 4 (d) 4n
23. 23.Find the value of 2p + 12 when p = 10.
24. 24.Find the value of 7t + 14 when t = 2.
25. 25.Solve: n + 12 = 13. What is n?
26. 26.Find the value of 2a + 4b when a = 10 and b = 6.
27. 27.Arjun has k bananas. A friend has 6 more. Which expression shows how many bananas the friend has? (a) k ÷ 6 (b) 6k (c) k − 6 (d) k + 6
28. 28.Find the value of 6x + 12 when x = 8.
29. 29.Solve: m − 4 = 5. What is m?
30. 30.Find the value of 9y + 4 when y = 1.
31. 31.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
32. 32.Solve: t + 5 = 11. What is t?
33. 33.Find the value of 4a + 4b when a = 3 and b = 1.
34. 34.Kabir shares k bananas equally among 9 friends. Which expression shows how many bananas each friend gets? (a) k + 9 (b) k ÷ 9 (c) 9k (d) k − 9
35. 35.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 6 letters?
36. 36.Find the value of 7x + 15 when x = 1.
37. 37.Manav has n pencils. A friend has 2 fewer. Which expression shows how many pencils the friend has? (a) n + 2 (b) 2n (c) n − 2 (d) n ÷ 2
38. 38.Find the value of 4a + 9b when a = 6 and b = 7.
39. 39.Find the value of 9a + 4b when a = 1 and b = 2.
40. 40.Find the value of 3a + 7b when a = 2 and b = 7.

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