Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 399 · 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.Solve: 3y = 33. What is y?
2. 2.Find the value of 6p + 12 when p = 3.
3. 3.Solve: m ÷ 12 = 3. What is m?
4. 4.Kabir has n kites. A friend has 6 times as many. Which expression shows how many kites the friend has? (a) n + 6 (b) n − 6 (c) 6n (d) n ÷ 6
5. 5.Find the value of 8a + 8b when a = 1 and b = 7.
6. 6.Find the value of 5a + 8b when a = 7 and b = 5.
7. 7.Find the value of 2a + 3b when a = 8 and b = 3.
8. 8.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
9. 9.Priya has k books. A friend has 3 fewer. Which expression shows how many books the friend has? (a) 3k (b) k − 3 (c) k ÷ 3 (d) k + 3
10. 10.Find the value of 2n + 9 when n = 2.
11. 11.Nisha has m balloons. A friend has 4 more. Which expression shows how many balloons the friend has? (a) m ÷ 4 (b) m − 4 (c) 4m (d) m + 4
12. 12.Solve: t − 10 = 3. What is t?
13. 13.Solve: x ÷ 8 = 4. What is x?
14. 14.Solve: n + 6 = 17. What is n?
15. 15.Find the value of 7a + 6b when a = 2 and b = 7.
16. 16.Find the value of 7a + 9b when a = 9 and b = 4.
17. 17.Aarav has m balloons. A friend has 9 times as many. Which expression shows how many balloons the friend has? (a) m + 9 (b) m ÷ 9 (c) 9m (d) m − 9
18. 18.Find the value of 2a + 7b when a = 5 and b = 8.
19. 19.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
20. 20.Find the value of 8x − 25 when x = 7.
21. 21.Find the value of 2y − 8 when y = 5.
22. 22.Solve: m ÷ 12 = 4. What is m?
23. 23.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
24. 24.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
25. 25.Solve: n + 7 = 27. What is n?
26. 26.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
27. 27.Saanvi has m balloons. A friend has 4 more. Which expression shows how many balloons the friend has? (a) m ÷ 4 (b) m − 4 (c) 4m (d) m + 4
28. 28.Find the value of 2x + 14 when x = 7.
29. 29.Find the value of 5p + 16 when p = 8.
30. 30.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
31. 31.Find the value of 4m + 13 when m = 2.
32. 32.Solve: p ÷ 3 = 12. What is p?
33. 33.Solve: t + 10 = 25. What is t?
34. 34.Find the value of 5t + 10 when t = 7.
35. 35.Rohan shares k pencils equally among 3 friends. Which expression shows how many pencils each friend gets? (a) k ÷ 3 (b) k + 3 (c) 3k (d) k − 3
36. 36.Find the value of 4p − 2 when p = 3.
37. 37.Find the value of 4y + 17 when y = 5.
38. 38.Find the value of 8a + 3b when a = 7 and b = 10.
39. 39.Find the value of 4m + 17 when m = 9.
40. 40.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?

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