Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 409 · 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 3t + 8 when t = 3.
2. 2.Solve: t − 10 = 3. What is t?
3. 3.Priya has p flowers. A friend has 9 more. Which expression shows how many flowers the friend has? (a) p ÷ 9 (b) 9p (c) p − 9 (d) p + 9
4. 4.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
5. 5.Solve: x − 4 = 18. What is x?
6. 6.Find the value of 2a + 6b when a = 7 and b = 10.
7. 7.Find the value of 9a + 8b when a = 2 and b = 3.
8. 8.Find the value of 5a + 3b when a = 2 and b = 6.
9. 9.Solve: m − 9 = 12. What is m?
10. 10.Solve: p ÷ 12 = 10. What is p?
11. 11.Find the value of 4a + 4b when a = 8 and b = 10.
12. 12.Find the value of 5a + 3b when a = 3 and b = 10.
13. 13.Isha has p flowers. A friend has 8 more. Which expression shows how many flowers the friend has? (a) p ÷ 8 (b) 8p (c) p − 8 (d) p + 8
14. 14.Solve: p + 2 = 8. What is p?
15. 15.Find the value of 7x + 10 when x = 2.
16. 16.Vivaan has n laddoos. A friend has 8 times as many. Which expression shows how many laddoos the friend has? (a) n ÷ 8 (b) 8n (c) n + 8 (d) n − 8
17. 17.Find the value of 6m + 15 when m = 5.
18. 18.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
19. 19.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
20. 20.Kavya has p mangoes. A friend has 4 fewer. Which expression shows how many mangoes the friend has? (a) p + 4 (b) p ÷ 4 (c) 4p (d) p − 4
21. 21.Solve: x ÷ 2 = 4. What is x?
22. 22.Lakshmi has p books. A friend has 6 times as many. Which expression shows how many books the friend has? (a) p − 6 (b) p ÷ 6 (c) 6p (d) p + 6
23. 23.Rahul shares m kites equally among 5 friends. Which expression shows how many kites each friend gets? (a) m − 5 (b) m + 5 (c) m ÷ 5 (d) 5m
24. 24.Find the value of 4t − 3 when t = 1.
25. 25.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
26. 26.Solve: 8t = 128. What is t?
27. 27.Find the value of 8x + 2 when x = 12.
28. 28.Find the value of 2y + 3 when y = 1.
29. 29.Solve: 11p = 110. What is p?
30. 30.Solve: m + 7 = 26. What is m?
31. 31.Find the value of 4a + 6b when a = 7 and b = 1.
32. 32.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
33. 33.Solve: n + 4 = 9. What is n?
34. 34.Find the value of 7x − 33 when x = 6.
35. 35.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 20 letters?
36. 36.Diya has k balloons. A friend has 8 more. Which expression shows how many balloons the friend has? (a) 8k (b) k − 8 (c) k + 8 (d) k ÷ 8
37. 37.Find the value of 3a + 2b when a = 4 and b = 5.
38. 38.Find the value of 3y − 6 when y = 11.
39. 39.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
40. 40.Find the value of 9y + 2 when y = 2.

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