Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 380 · 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 4x − 21 when x = 6.
2. 2.Meera has m bananas. A friend has 5 times as many. Which expression shows how many bananas the friend has? (a) 5m (b) m − 5 (c) m ÷ 5 (d) m + 5
3. 3.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
4. 4.Gurpreet shares n laddoos equally among 5 friends. Which expression shows how many laddoos each friend gets? (a) n − 5 (b) 5n (c) n + 5 (d) n ÷ 5
5. 5.Solve: m − 10 = 17. What is m?
6. 6.Solve: t + 7 = 17. What is t?
7. 7.Pooja has m balloons. A friend has 3 fewer. Which expression shows how many balloons the friend has? (a) m ÷ 3 (b) 3m (c) m − 3 (d) m + 3
8. 8.Find the value of 4y + 7 when y = 3.
9. 9.Solve: n + 4 = 5. What is n?
10. 10.Find the value of 2y + 9 when y = 12.
11. 11.Joseph shares p shells equally among 6 friends. Which expression shows how many shells each friend gets? (a) p + 6 (b) p − 6 (c) 6p (d) p ÷ 6
12. 12.Priya has k pencils. A friend has 3 times as many. Which expression shows how many pencils the friend has? (a) 3k (b) k − 3 (c) k + 3 (d) k ÷ 3
13. 13.Solve: m + 9 = 22. What is m?
14. 14.Find the value of 4m + 6 when m = 8.
15. 15.Find the value of 7t − 17 when t = 3.
16. 16.Saanvi has n pencils. A friend has 7 times as many. Which expression shows how many pencils the friend has? (a) 7n (b) n + 7 (c) n ÷ 7 (d) n − 7
17. 17.Find the value of 4n + 9 when n = 2.
18. 18.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 6 letters?
19. 19.Find the value of 6t + 5 when t = 1.
20. 20.Find the value of 2t + 6 when t = 3.
21. 21.Solve: t ÷ 11 = 7. What is t?
22. 22.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
23. 23.Solve: 3y = 6. What is y?
24. 24.Lakshmi has p kites. A friend has 9 more. Which expression shows how many kites the friend has? (a) 9p (b) p − 9 (c) p ÷ 9 (d) p + 9
25. 25.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
26. 26.Diya has m kites. A friend has 9 times as many. Which expression shows how many kites the friend has? (a) 9m (b) m − 9 (c) m ÷ 9 (d) m + 9
27. 27.Solve: t ÷ 3 = 4. What is t?
28. 28.Vivaan has m balloons. A friend has 6 times as many. Which expression shows how many balloons the friend has? (a) m + 6 (b) m − 6 (c) m ÷ 6 (d) 6m
29. 29.Find the value of 8a + 7b when a = 7 and b = 7.
30. 30.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
31. 31.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
32. 32.Solve: 9p = 153. What is p?
33. 33.Isha has n balloons. A friend has 4 fewer. Which expression shows how many balloons the friend has? (a) n + 4 (b) n − 4 (c) 4n (d) n ÷ 4
34. 34.Solve: 5x = 10. What is x?
35. 35.Find the value of 2n + 15 when n = 4.
36. 36.Kabir shares n books equally among 9 friends. Which expression shows how many books each friend gets? (a) n − 9 (b) n ÷ 9 (c) n + 9 (d) 9n
37. 37.Find the value of 4a + 7b when a = 1 and b = 2.
38. 38.Find the value of 3x + 3 when x = 6.
39. 39.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
40. 40.Find the value of 2x − 8 when x = 10.

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