Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 574 · 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 H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
2. 2.Find the value of 2a + 2b when a = 8 and b = 1.
3. 3.Find the value of 3t + 16 when t = 7.
4. 4.Kavya has m shells. A friend has 7 fewer. Which expression shows how many shells the friend has? (a) m − 7 (b) 7m (c) m + 7 (d) m ÷ 7
5. 5.Find the value of 4x − 23 when x = 8.
6. 6.Find the value of 9a + 2b when a = 7 and b = 1.
7. 7.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 7 letters?
8. 8.Solve: 4m = 44. What is m?
9. 9.Find the value of 6p + 7 when p = 10.
10. 10.Solve: p + 8 = 11. What is p?
11. 11.Kavya shares n kites equally among 8 friends. Which expression shows how many kites each friend gets? (a) n + 8 (b) n − 8 (c) 8n (d) n ÷ 8
12. 12.Solve: x − 3 = 9. What is x?
13. 13.Pooja has n kites. A friend has 5 more. Which expression shows how many kites the friend has? (a) n ÷ 5 (b) 5n (c) n + 5 (d) n − 5
14. 14.Solve: x + 4 = 10. What is x?
15. 15.Find the value of 6x − 14 when x = 11.
16. 16.Find the value of 5a + 6b when a = 3 and b = 2.
17. 17.Find the value of 8m + 1 when m = 6.
18. 18.Isha has m shells. A friend has 4 times as many. Which expression shows how many shells the friend has? (a) m ÷ 4 (b) 4m (c) m − 4 (d) m + 4
19. 19.Find the value of 3a + 8b when a = 5 and b = 5.
20. 20.Find the value of 8a + 7b when a = 2 and b = 7.
21. 21.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
22. 22.Solve: n ÷ 9 = 15. What is n?
23. 23.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
24. 24.Find the value of 9a + 4b when a = 9 and b = 5.
25. 25.Solve: x + 10 = 23. What is x?
26. 26.Find the value of 6n − 11 when n = 4.
27. 27.Solve: 2t = 28. What is t?
28. 28.Manav has p balloons. A friend has 6 times as many. Which expression shows how many balloons the friend has? (a) 6p (b) p ÷ 6 (c) p + 6 (d) p − 6
29. 29.Nisha has k marbles. A friend has 2 times as many. Which expression shows how many marbles the friend has? (a) 2k (b) k ÷ 2 (c) k − 2 (d) k + 2
30. 30.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
31. 31.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
32. 32.Find the value of 9m + 10 when m = 5.
33. 33.Karan has m pencils. A friend has 9 fewer. Which expression shows how many pencils the friend has? (a) m + 9 (b) 9m (c) m ÷ 9 (d) m − 9
34. 34.Find the value of 3y − 1 when y = 1.
35. 35.Find the value of 8a + 2b when a = 4 and b = 5.
36. 36.Find the value of 6a + 8b when a = 4 and b = 7.
37. 37.Find the value of 5y − 2 when y = 1.
38. 38.Find the value of 7a + 8b when a = 3 and b = 2.
39. 39.Lakshmi has n laddoos. A friend has 2 more. Which expression shows how many laddoos the friend has? (a) n ÷ 2 (b) n + 2 (c) 2n (d) n − 2
40. 40.Find the value of 8a + 8b when a = 2 and b = 8.

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