Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 428 · 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 3a + 2b when a = 6 and b = 4.
2. 2.Sneha has n pencils. A friend has 9 times as many. Which expression shows how many pencils the friend has? (a) n + 9 (b) 9n (c) n ÷ 9 (d) n − 9
3. 3.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 19 letters?
4. 4.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 23 letters?
5. 5.Solve: 7m = 84. What is m?
6. 6.Find the value of 9a + 8b when a = 5 and b = 2.
7. 7.Solve: n − 8 = 19. What is n?
8. 8.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
9. 9.Sneha has p balls. A friend has 2 more. Which expression shows how many balls the friend has? (a) 2p (b) p ÷ 2 (c) p − 2 (d) p + 2
10. 10.Solve: y + 2 = 8. What is y?
11. 11.Find the value of 9n + 6 when n = 6.
12. 12.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
13. 13.Find the value of 7a + 9b when a = 8 and b = 2.
14. 14.Find the value of 3a + 7b when a = 7 and b = 10.
15. 15.Find the value of 2y + 5 when y = 8.
16. 16.Rohan has n marbles. A friend has 4 times as many. Which expression shows how many marbles the friend has? (a) n + 4 (b) 4n (c) n − 4 (d) n ÷ 4
17. 17.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
18. 18.Diya shares m laddoos equally among 5 friends. Which expression shows how many laddoos each friend gets? (a) 5m (b) m ÷ 5 (c) m + 5 (d) m − 5
19. 19.Find the value of 7y + 19 when y = 8.
20. 20.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
21. 21.Find the value of 3y − 2 when y = 1.
22. 22.Rohan has n balls. A friend has 8 times as many. Which expression shows how many balls the friend has? (a) n − 8 (b) n ÷ 8 (c) n + 8 (d) 8n
23. 23.Find the value of 5y + 18 when y = 1.
24. 24.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
25. 25.Solve: 12n = 120. What is n?
26. 26.Find the value of 8m − 38 when m = 6.
27. 27.Find the value of 3x + 7 when x = 7.
28. 28.Find the value of 9a + 2b when a = 3 and b = 9.
29. 29.Find the value of 6y + 13 when y = 2.
30. 30.Solve: t − 9 = 14. What is t?
31. 31.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
32. 32.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
33. 33.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
34. 34.Find the value of 7a + 9b when a = 5 and b = 5.
35. 35.Karan has k mangoes. A friend has 2 fewer. Which expression shows how many mangoes the friend has? (a) k + 2 (b) k ÷ 2 (c) k − 2 (d) 2k
36. 36.Solve: x − 5 = 20. What is x?
37. 37.Find the value of 6x − 46 when x = 9.
38. 38.Find the value of 8n + 17 when n = 10.
39. 39.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
40. 40.Find the value of 2t + 5 when t = 12.

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