Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 79 · 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 F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
2. 2.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
3. 3.Find the value of 2a + 2b when a = 3 and b = 8.
4. 4.Find the value of 5a + 2b when a = 3 and b = 9.
5. 5.Solve: x − 8 = 2. What is x?
6. 6.Find the value of 3y − 7 when y = 7.
7. 7.Find the value of 5n − 17 when n = 8.
8. 8.Solve: t + 3 = 9. What is t?
9. 9.Solve: m ÷ 2 = 16. What is m?
10. 10.Find the value of 3n − 34 when n = 12.
11. 11.Rahul has n books. A friend has 5 more. Which expression shows how many books the friend has? (a) n ÷ 5 (b) n + 5 (c) n − 5 (d) 5n
12. 12.Find the value of 9a + 5b when a = 2 and b = 9.
13. 13.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
14. 14.Rohan has k mangoes. A friend has 5 fewer. Which expression shows how many mangoes the friend has? (a) k + 5 (b) 5k (c) k − 5 (d) k ÷ 5
15. 15.Solve: x − 8 = 10. What is x?
16. 16.Find the value of 9p + 15 when p = 7.
17. 17.Solve: p + 4 = 16. What is p?
18. 18.Find the value of 3x + 2 when x = 8.
19. 19.Find the value of 5a + 5b when a = 1 and b = 3.
20. 20.Find the value of 9a + 8b when a = 3 and b = 8.
21. 21.Find the value of 6p − 15 when p = 6.
22. 22.Solve: 12y = 192. What is y?
23. 23.Find the value of 6p − 10 when p = 10.
24. 24.Find the value of 5t − 7 when t = 2.
25. 25.Find the value of 3a + 7b when a = 7 and b = 6.
26. 26.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
27. 27.Isha shares n marbles equally among 4 friends. Which expression shows how many marbles each friend gets? (a) n − 4 (b) n + 4 (c) n ÷ 4 (d) 4n
28. 28.Tara has n laddoos. A friend has 7 more. Which expression shows how many laddoos the friend has? (a) n + 7 (b) 7n (c) n ÷ 7 (d) n − 7
29. 29.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
30. 30.Find the value of 7a + 2b when a = 1 and b = 10.
31. 31.Solve: x − 4 = 11. What is x?
32. 32.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 14 letters?
33. 33.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
34. 34.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
35. 35.Find the value of 8n − 5 when n = 3.
36. 36.Solve: n ÷ 4 = 3. What is n?
37. 37.Kabir has m kites. A friend has 8 fewer. Which expression shows how many kites the friend has? (a) m ÷ 8 (b) 8m (c) m − 8 (d) m + 8
38. 38.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
39. 39.Find the value of 9a + 8b when a = 6 and b = 1.
40. 40.Farhan has m balloons. A friend has 5 more. Which expression shows how many balloons the friend has? (a) m ÷ 5 (b) m + 5 (c) 5m (d) m − 5

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