Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 571 · 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 7t − 3 when t = 1.
2. 2.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 6 letters?
3. 3.Find the value of 6a + 7b when a = 10 and b = 3.
4. 4.Find the value of 6a + 2b when a = 3 and b = 3.
5. 5.Find the value of 3y + 16 when y = 7.
6. 6.Solve: y ÷ 9 = 1. What is y?
7. 7.Find the value of 2p + 8 when p = 10.
8. 8.Solve: t + 8 = 25. What is t?
9. 9.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
10. 10.Find the value of 6p − 1 when p = 4.
11. 11.Find the value of 6m + 4 when m = 2.
12. 12.Find the value of 5y + 11 when y = 9.
13. 13.Find the value of 9y + 10 when y = 3.
14. 14.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
15. 15.Tara shares p balloons equally among 6 friends. Which expression shows how many balloons each friend gets? (a) p ÷ 6 (b) p + 6 (c) p − 6 (d) 6p
16. 16.Find the value of 3t + 11 when t = 3.
17. 17.Find the value of 2t − 1 when t = 3.
18. 18.Solve: m + 3 = 23. What is m?
19. 19.Find the value of 6p + 6 when p = 9.
20. 20.Solve: n ÷ 12 = 9. What is n?
21. 21.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
22. 22.Solve: t − 5 = 16. What is t?
23. 23.Diya has m mangoes. A friend has 3 more. Which expression shows how many mangoes the friend has? (a) m + 3 (b) 3m (c) m ÷ 3 (d) m − 3
24. 24.Dev has m flowers. A friend has 5 more. Which expression shows how many flowers the friend has? (a) 5m (b) m + 5 (c) m − 5 (d) m ÷ 5
25. 25.Find the value of 2a + 4b when a = 4 and b = 3.
26. 26.Solve: y − 9 = 14. What is y?
27. 27.Find the value of 6a + 4b when a = 1 and b = 5.
28. 28.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
29. 29.Find the value of 5y − 13 when y = 3.
30. 30.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
31. 31.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
32. 32.Solve: 8m = 80. What is m?
33. 33.Find the value of 9a + 9b when a = 6 and b = 9.
34. 34.Solve: 8y = 24. What is y?
35. 35.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
36. 36.Find the value of 5y + 15 when y = 9.
37. 37.Lakshmi has n laddoos. A friend has 6 fewer. Which expression shows how many laddoos the friend has? (a) 6n (b) n ÷ 6 (c) n + 6 (d) n − 6
38. 38.Find the value of 4a + 4b when a = 1 and b = 1.
39. 39.Aarav has p laddoos. A friend has 6 fewer. Which expression shows how many laddoos the friend has? (a) 6p (b) p + 6 (c) p ÷ 6 (d) p − 6
40. 40.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?

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