Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 573 · 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 6m − 17 when m = 12.
2. 2.Diya has p pencils. A friend has 7 times as many. Which expression shows how many pencils the friend has? (a) p + 7 (b) 7p (c) p ÷ 7 (d) p − 7
3. 3.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
4. 4.Find the value of 3t − 8 when t = 8.
5. 5.Solve: 4y = 80. What is y?
6. 6.Find the value of 2a + 7b when a = 4 and b = 4.
7. 7.Arjun shares p mangoes equally among 3 friends. Which expression shows how many mangoes each friend gets? (a) p − 3 (b) p ÷ 3 (c) 3p (d) p + 3
8. 8.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
9. 9.Find the value of 7a + 2b when a = 6 and b = 5.
10. 10.Solve: y ÷ 3 = 12. What is y?
11. 11.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 20 letters?
12. 12.Find the value of 6p − 15 when p = 6.
13. 13.Solve: 3x = 57. What is x?
14. 14.Solve: x − 9 = 19. What is x?
15. 15.Find the value of 3a + 6b when a = 9 and b = 10.
16. 16.Find the value of 2a + 5b when a = 3 and b = 3.
17. 17.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
18. 18.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
19. 19.Find the value of 6a + 8b when a = 1 and b = 5.
20. 20.Find the value of 7t − 20 when t = 6.
21. 21.Find the value of 4t + 15 when t = 3.
22. 22.Find the value of 5x − 9 when x = 4.
23. 23.Find the value of 4x + 5 when x = 3.
24. 24.Find the value of 3n + 6 when n = 1.
25. 25.Find the value of 6y − 1 when y = 4.
26. 26.Aarav has n crayons. A friend has 7 more. Which expression shows how many crayons the friend has? (a) n + 7 (b) n − 7 (c) 7n (d) n ÷ 7
27. 27.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
28. 28.Find the value of 7p + 5 when p = 8.
29. 29.Find the value of 9p + 4 when p = 2.
30. 30.Find the value of 7p + 6 when p = 3.
31. 31.Find the value of 2a + 2b when a = 5 and b = 3.
32. 32.Tara has n pencils. A friend has 7 times as many. Which expression shows how many pencils the friend has? (a) n − 7 (b) n + 7 (c) 7n (d) n ÷ 7
33. 33.Find the value of 9m + 8 when m = 8.
34. 34.Meera has p balloons. A friend has 8 fewer. Which expression shows how many balloons the friend has? (a) p ÷ 8 (b) 8p (c) p − 8 (d) p + 8
35. 35.Solve: 12m = 144. What is m?
36. 36.Find the value of 3y + 13 when y = 12.
37. 37.Solve: t − 10 = 12. What is t?
38. 38.Arjun shares n shells equally among 6 friends. Which expression shows how many shells each friend gets? (a) 6n (b) n ÷ 6 (c) n + 6 (d) n − 6
39. 39.Arjun has n balloons. A friend has 4 more. Which expression shows how many balloons the friend has? (a) n ÷ 4 (b) n − 4 (c) n + 4 (d) 4n
40. 40.Find the value of 8x − 23 when x = 5.

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