Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 510 · 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 7m + 19 when m = 1.
2. 2.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
3. 3.Find the value of 8a + 9b when a = 4 and b = 8.
4. 4.Find the value of 3p + 10 when p = 8.
5. 5.Find the value of 4x − 27 when x = 7.
6. 6.Sneha shares p mangoes equally among 7 friends. Which expression shows how many mangoes each friend gets? (a) p + 7 (b) p ÷ 7 (c) p − 7 (d) 7p
7. 7.Find the value of 9a + 7b when a = 8 and b = 8.
8. 8.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
9. 9.Find the value of 8n − 6 when n = 6.
10. 10.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
11. 11.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
12. 12.Find the value of 3n − 11 when n = 7.
13. 13.Solve: p + 9 = 13. What is p?
14. 14.Find the value of 4t + 13 when t = 4.
15. 15.Manav has k balloons. A friend has 7 more. Which expression shows how many balloons the friend has? (a) k − 7 (b) k + 7 (c) 7k (d) k ÷ 7
16. 16.Solve: 3m = 33. What is m?
17. 17.Nisha has p kites. A friend has 6 fewer. Which expression shows how many kites the friend has? (a) p ÷ 6 (b) p − 6 (c) p + 6 (d) 6p
18. 18.Find the value of 3a + 2b when a = 4 and b = 3.
19. 19.Nisha has p crayons. A friend has 2 fewer. Which expression shows how many crayons the friend has? (a) p + 2 (b) 2p (c) p ÷ 2 (d) p − 2
20. 20.Solve: p ÷ 11 = 20. What is p?
21. 21.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
22. 22.Find the value of 9a + 5b when a = 3 and b = 3.
23. 23.Find the value of 9t − 76 when t = 12.
24. 24.Find the value of 8n − 43 when n = 12.
25. 25.Find the value of 4a + 2b when a = 5 and b = 7.
26. 26.Find the value of 9p + 15 when p = 2.
27. 27.Find the value of 3y − 14 when y = 7.
28. 28.Rohan has m kites. A friend has 6 more. Which expression shows how many kites the friend has? (a) m ÷ 6 (b) m − 6 (c) 6m (d) m + 6
29. 29.Solve: m + 12 = 29. What is m?
30. 30.Solve: 5x = 70. What is x?
31. 31.Priya has n laddoos. A friend has 9 more. Which expression shows how many laddoos the friend has? (a) 9n (b) n − 9 (c) n + 9 (d) n ÷ 9
32. 32.Aditya has p flowers. A friend has 6 more. Which expression shows how many flowers the friend has? (a) 6p (b) p ÷ 6 (c) p − 6 (d) p + 6
33. 33.Find the value of 2m + 13 when m = 12.
34. 34.Solve: 4x = 60. What is x?
35. 35.Find the value of 5a + 3b when a = 1 and b = 7.
36. 36.Solve: 4y = 36. What is y?
37. 37.Ananya has k mangoes. A friend has 5 fewer. Which expression shows how many mangoes the friend has? (a) k ÷ 5 (b) k + 5 (c) k − 5 (d) 5k
38. 38.Find the value of 3x − 2 when x = 1.
39. 39.Find the value of 5x − 18 when x = 9.
40. 40.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?

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