Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 554 · 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 10 letters?
2. 2.Solve: n − 2 = 7. What is n?
3. 3.Find the value of 3a + 8b when a = 9 and b = 7.
4. 4.Find the value of 2a + 2b when a = 1 and b = 6.
5. 5.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
6. 6.Find the value of 6n − 71 when n = 12.
7. 7.Solve: t − 4 = 14. What is t?
8. 8.Find the value of 5a + 3b when a = 5 and b = 5.
9. 9.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
10. 10.Solve: y ÷ 10 = 3. What is y?
11. 11.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 13 letters?
12. 12.Joseph shares n mangoes equally among 7 friends. Which expression shows how many mangoes each friend gets? (a) n + 7 (b) n − 7 (c) 7n (d) n ÷ 7
13. 13.Solve: n + 4 = 18. What is n?
14. 14.Solve: y ÷ 2 = 5. What is y?
15. 15.Saanvi has k pencils. A friend has 4 times as many. Which expression shows how many pencils the friend has? (a) k − 4 (b) k ÷ 4 (c) 4k (d) k + 4
16. 16.Find the value of 9y − 1 when y = 4.
17. 17.Find the value of 3a + 2b when a = 5 and b = 2.
18. 18.Find the value of 6t + 5 when t = 9.
19. 19.Find the value of 7a + 3b when a = 7 and b = 6.
20. 20.Sneha has n balls. A friend has 4 more. Which expression shows how many balls the friend has? (a) 4n (b) n − 4 (c) n ÷ 4 (d) n + 4
21. 21.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
22. 22.Farhan has p laddoos. A friend has 9 more. Which expression shows how many laddoos the friend has? (a) p − 9 (b) 9p (c) p + 9 (d) p ÷ 9
23. 23.Find the value of 2a + 5b when a = 6 and b = 4.
24. 24.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
25. 25.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
26. 26.Find the value of 3a + 3b when a = 4 and b = 7.
27. 27.Solve: t − 3 = 5. What is t?
28. 28.Find the value of 9a + 5b when a = 6 and b = 8.
29. 29.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 11 letters?
30. 30.Manav shares m marbles equally among 9 friends. Which expression shows how many marbles each friend gets? (a) 9m (b) m − 9 (c) m ÷ 9 (d) m + 9
31. 31.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
32. 32.Solve: p + 12 = 30. What is p?
33. 33.Find the value of 3y − 1 when y = 2.
34. 34.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
35. 35.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 19 letters?
36. 36.Find the value of 3y + 19 when y = 2.
37. 37.Find the value of 7y − 7 when y = 7.
38. 38.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
39. 39.Solve: 4y = 72. What is y?
40. 40.Find the value of 2a + 4b when a = 4 and b = 10.

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