Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 87 · 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.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
2. 2.Solve: m + 2 = 7. What is m?
3. 3.Find the value of 5a + 3b when a = 3 and b = 2.
4. 4.Gurpreet has n marbles. A friend has 4 more. Which expression shows how many marbles the friend has? (a) n ÷ 4 (b) n + 4 (c) n − 4 (d) 4n
5. 5.Find the value of 5a + 9b when a = 10 and b = 10.
6. 6.Find the value of 9x + 9 when x = 1.
7. 7.Find the value of 5x − 11 when x = 3.
8. 8.Find the value of 8n − 20 when n = 3.
9. 9.Rahul shares k flowers equally among 7 friends. Which expression shows how many flowers each friend gets? (a) k − 7 (b) k + 7 (c) k ÷ 7 (d) 7k
10. 10.Find the value of 2a + 4b when a = 9 and b = 4.
11. 11.Aarav has p mangoes. A friend has 6 more. Which expression shows how many mangoes the friend has? (a) p + 6 (b) p ÷ 6 (c) p − 6 (d) 6p
12. 12.Solve: 3m = 21. What is m?
13. 13.Find the value of 9a + 4b when a = 3 and b = 6.
14. 14.Find the value of 5a + 9b when a = 10 and b = 2.
15. 15.Solve: p ÷ 10 = 12. What is p?
16. 16.Find the value of 8a + 4b when a = 2 and b = 9.
17. 17.Find the value of 2x + 16 when x = 10.
18. 18.Find the value of 5x + 18 when x = 1.
19. 19.Find the value of 6n + 13 when n = 1.
20. 20.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
21. 21.Solve: x + 4 = 16. What is x?
22. 22.Solve: p − 9 = 10. What is p?
23. 23.Aditya has n flowers. A friend has 5 fewer. Which expression shows how many flowers the friend has? (a) n ÷ 5 (b) n − 5 (c) n + 5 (d) 5n
24. 24.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
25. 25.Find the value of 9a + 8b when a = 6 and b = 2.
26. 26.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
27. 27.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
28. 28.Find the value of 2a + 3b when a = 9 and b = 8.
29. 29.Find the value of 2y − 1 when y = 4.
30. 30.Solve: p + 9 = 26. What is p?
31. 31.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
32. 32.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
33. 33.Find the value of 8a + 7b when a = 9 and b = 8.
34. 34.Solve: t − 4 = 11. What is t?
35. 35.Find the value of 4a + 3b when a = 2 and b = 9.
36. 36.Manav shares p kites equally among 3 friends. Which expression shows how many kites each friend gets? (a) p ÷ 3 (b) 3p (c) p + 3 (d) p − 3
37. 37.Solve: x + 3 = 11. What is x?
38. 38.Aditya shares p pencils equally among 6 friends. Which expression shows how many pencils each friend gets? (a) 6p (b) p + 6 (c) p − 6 (d) p ÷ 6
39. 39.Solve: y + 12 = 15. What is y?
40. 40.Solve: n + 5 = 15. What is n?

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