Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 151 · 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.Kabir shares m mangoes equally among 3 friends. Which expression shows how many mangoes each friend gets? (a) m − 3 (b) m ÷ 3 (c) 3m (d) m + 3
2. 2.Find the value of 8a + 7b when a = 7 and b = 4.
3. 3.Solve: 3n = 21. What is n?
4. 4.Find the value of 2a + 8b when a = 2 and b = 1.
5. 5.Find the value of 3a + 3b when a = 4 and b = 10.
6. 6.Find the value of 5a + 3b when a = 6 and b = 2.
7. 7.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
8. 8.Solve: t − 3 = 17. What is t?
9. 9.Solve: m ÷ 10 = 7. What is m?
10. 10.Solve: t − 6 = 2. What is t?
11. 11.Pooja has p laddoos. A friend has 3 more. Which expression shows how many laddoos the friend has? (a) 3p (b) p + 3 (c) p ÷ 3 (d) p − 3
12. 12.Find the value of 7m − 15 when m = 4.
13. 13.Solve: 12x = 84. What is x?
14. 14.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
15. 15.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
16. 16.Priya has n shells. A friend has 9 fewer. Which expression shows how many shells the friend has? (a) n + 9 (b) n ÷ 9 (c) 9n (d) n − 9
17. 17.Sneha shares n pencils equally among 6 friends. Which expression shows how many pencils each friend gets? (a) 6n (b) n ÷ 6 (c) n − 6 (d) n + 6
18. 18.Find the value of 7a + 5b when a = 10 and b = 6.
19. 19.Solve: t ÷ 7 = 18. What is t?
20. 20.Find the value of 9a + 3b when a = 2 and b = 7.
21. 21.Find the value of 3a + 9b when a = 2 and b = 1.
22. 22.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
23. 23.Find the value of 3p − 10 when p = 7.
24. 24.Solve: 8t = 152. What is t?
25. 25.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 22 letters?
26. 26.Find the value of 7n + 4 when n = 12.
27. 27.Find the value of 4y − 3 when y = 2.
28. 28.Solve: 12x = 132. What is x?
29. 29.Rohan has n balls. A friend has 9 times as many. Which expression shows how many balls the friend has? (a) n ÷ 9 (b) n − 9 (c) 9n (d) n + 9
30. 30.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
31. 31.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 15 letters?
32. 32.Find the value of 4y + 15 when y = 8.
33. 33.Find the value of 7t − 4 when t = 3.
34. 34.Find the value of 5n − 41 when n = 11.
35. 35.Find the value of 8x − 35 when x = 8.
36. 36.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
37. 37.Find the value of 4t + 9 when t = 12.
38. 38.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
39. 39.Aarav has n shells. A friend has 2 fewer. Which expression shows how many shells the friend has? (a) n + 2 (b) 2n (c) n − 2 (d) n ÷ 2
40. 40.Find the value of 2a + 5b when a = 4 and b = 6.

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