Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 588 · 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: n − 9 = 3. What is n?
2. 2.Find the value of 7a + 9b when a = 7 and b = 7.
3. 3.Find the value of 4a + 8b when a = 1 and b = 1.
4. 4.Find the value of 7p − 12 when p = 2.
5. 5.Solve: 10x = 20. What is x?
6. 6.Find the value of 5a + 2b when a = 10 and b = 7.
7. 7.Solve: p − 10 = 18. What is p?
8. 8.Find the value of 5n − 8 when n = 7.
9. 9.Solve: m + 3 = 7. What is m?
10. 10.Find the value of 7n + 12 when n = 9.
11. 11.Rahul shares k books equally among 4 friends. Which expression shows how many books each friend gets? (a) k − 4 (b) k + 4 (c) k ÷ 4 (d) 4k
12. 12.Pooja shares k flowers equally among 3 friends. Which expression shows how many flowers each friend gets? (a) k ÷ 3 (b) 3k (c) k + 3 (d) k − 3
13. 13.Find the value of 3a + 6b when a = 2 and b = 9.
14. 14.Solve: n + 8 = 13. What is n?
15. 15.Find the value of 3x − 14 when x = 12.
16. 16.Find the value of 4t + 3 when t = 1.
17. 17.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
18. 18.Vivaan shares m marbles equally among 2 friends. Which expression shows how many marbles each friend gets? (a) m + 2 (b) m − 2 (c) m ÷ 2 (d) 2m
19. 19.Find the value of 3m − 26 when m = 10.
20. 20.Sneha has k mangoes. A friend has 5 times as many. Which expression shows how many mangoes the friend has? (a) k ÷ 5 (b) k − 5 (c) k + 5 (d) 5k
21. 21.Find the value of 4a + 2b when a = 5 and b = 10.
22. 22.Ishaan has m bananas. A friend has 8 more. Which expression shows how many bananas the friend has? (a) m ÷ 8 (b) 8m (c) m + 8 (d) m − 8
23. 23.Saanvi shares n flowers equally among 6 friends. Which expression shows how many flowers each friend gets? (a) n ÷ 6 (b) n − 6 (c) n + 6 (d) 6n
24. 24.Find the value of 3a + 4b when a = 6 and b = 7.
25. 25.Find the value of 3y + 5 when y = 8.
26. 26.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
27. 27.Aarav has k balloons. A friend has 5 fewer. Which expression shows how many balloons the friend has? (a) k ÷ 5 (b) k + 5 (c) 5k (d) k − 5
28. 28.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
29. 29.Find the value of 7a + 6b when a = 10 and b = 10.
30. 30.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
31. 31.Find the value of 2a + 5b when a = 10 and b = 1.
32. 32.Find the value of 5x − 1 when x = 2.
33. 33.Ishaan has n shells. A friend has 4 more. Which expression shows how many shells the friend has? (a) 4n (b) n − 4 (c) n ÷ 4 (d) n + 4
34. 34.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
35. 35.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
36. 36.Find the value of 5p − 1 when p = 2.
37. 37.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
38. 38.Find the value of 3p + 11 when p = 3.
39. 39.Find the value of 2y + 18 when y = 10.
40. 40.Zoya has p shells. A friend has 5 more. Which expression shows how many shells the friend has? (a) p ÷ 5 (b) p − 5 (c) 5p (d) p + 5

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