Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 460 · 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.Arjun shares n flowers equally among 3 friends. Which expression shows how many flowers each friend gets? (a) 3n (b) n ÷ 3 (c) n + 3 (d) n − 3
2. 2.Find the value of 2a + 3b when a = 4 and b = 2.
3. 3.Solve: 10p = 170. What is p?
4. 4.Find the value of 2a + 6b when a = 5 and b = 4.
5. 5.Find the value of 4m − 8 when m = 3.
6. 6.Find the value of 7t + 16 when t = 4.
7. 7.Find the value of 3t + 15 when t = 8.
8. 8.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 13 letters?
9. 9.Kavya has n laddoos. A friend has 9 times as many. Which expression shows how many laddoos the friend has? (a) n − 9 (b) n ÷ 9 (c) n + 9 (d) 9n
10. 10.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
11. 11.Find the value of 5a + 2b when a = 10 and b = 7.
12. 12.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
13. 13.Solve: x + 5 = 11. What is x?
14. 14.Solve: t − 7 = 16. What is t?
15. 15.Find the value of 8n + 11 when n = 9.
16. 16.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
17. 17.Find the value of 2a + 2b when a = 9 and b = 6.
18. 18.Find the value of 7n − 10 when n = 5.
19. 19.Find the value of 9y − 1 when y = 3.
20. 20.Solve: n + 3 = 10. What is n?
21. 21.Solve: x ÷ 3 = 16. What is x?
22. 22.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
23. 23.Solve: x ÷ 5 = 13. What is x?
24. 24.Find the value of 3a + 7b when a = 1 and b = 4.
25. 25.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 15 letters?
26. 26.Solve: x + 12 = 19. What is x?
27. 27.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
28. 28.Solve: y ÷ 5 = 8. What is y?
29. 29.Find the value of 4a + 9b when a = 10 and b = 6.
30. 30.Find the value of 4a + 2b when a = 7 and b = 1.
31. 31.Find the value of 8a + 5b when a = 2 and b = 7.
32. 32.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
33. 33.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
34. 34.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
35. 35.Find the value of 4a + 2b when a = 4 and b = 10.
36. 36.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 19 letters?
37. 37.Find the value of 5a + 3b when a = 6 and b = 9.
38. 38.Gurpreet shares m bananas equally among 6 friends. Which expression shows how many bananas each friend gets? (a) m ÷ 6 (b) 6m (c) m + 6 (d) m − 6
39. 39.Find the value of 3x − 9 when x = 4.
40. 40.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?

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