Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 230 · 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.Isha shares m shells equally among 5 friends. Which expression shows how many shells each friend gets? (a) m + 5 (b) 5m (c) m − 5 (d) m ÷ 5
2. 2.Nisha has n bananas. A friend has 9 more. Which expression shows how many bananas the friend has? (a) 9n (b) n ÷ 9 (c) n − 9 (d) n + 9
3. 3.Find the value of 9n + 3 when n = 7.
4. 4.Find the value of 2t + 19 when t = 12.
5. 5.Solve: p − 6 = 3. What is p?
6. 6.Solve: t ÷ 7 = 15. What is t?
7. 7.Rahul shares k bananas equally among 9 friends. Which expression shows how many bananas each friend gets? (a) 9k (b) k + 9 (c) k ÷ 9 (d) k − 9
8. 8.Isha shares m kites equally among 3 friends. Which expression shows how many kites each friend gets? (a) m − 3 (b) m + 3 (c) 3m (d) m ÷ 3
9. 9.Find the value of 2x − 4 when x = 6.
10. 10.Find the value of 6a + 5b when a = 4 and b = 5.
11. 11.Solve: t + 10 = 11. What is t?
12. 12.Solve: t − 10 = 12. What is t?
13. 13.Solve: n − 2 = 10. What is n?
14. 14.Find the value of 8p + 3 when p = 7.
15. 15.Find the value of 9n − 3 when n = 2.
16. 16.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 5 letters?
17. 17.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 9 letters?
18. 18.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
19. 19.Find the value of 4y + 1 when y = 11.
20. 20.Find the value of 3n − 1 when n = 1.
21. 21.Find the value of 5a + 2b when a = 1 and b = 9.
22. 22.Find the value of 8a + 6b when a = 5 and b = 1.
23. 23.Find the value of 3m + 15 when m = 12.
24. 24.Find the value of 4m + 10 when m = 2.
25. 25.Find the value of 3p − 1 when p = 4.
26. 26.Find the value of 4y + 16 when y = 8.
27. 27.Solve: m + 5 = 11. What is m?
28. 28.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
29. 29.Lakshmi has p laddoos. A friend has 3 times as many. Which expression shows how many laddoos the friend has? (a) 3p (b) p + 3 (c) p − 3 (d) p ÷ 3
30. 30.Find the value of 6a + 6b when a = 2 and b = 2.
31. 31.Farhan has n balls. A friend has 7 more. Which expression shows how many balls the friend has? (a) n − 7 (b) 7n (c) n ÷ 7 (d) n + 7
32. 32.Rahul has m books. A friend has 5 more. Which expression shows how many books the friend has? (a) 5m (b) m + 5 (c) m ÷ 5 (d) m − 5
33. 33.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
34. 34.Solve: p ÷ 6 = 14. What is p?
35. 35.Tara has m balloons. A friend has 7 more. Which expression shows how many balloons the friend has? (a) m + 7 (b) 7m (c) m − 7 (d) m ÷ 7
36. 36.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
37. 37.Find the value of 3t + 13 when t = 12.
38. 38.Solve: y ÷ 8 = 6. What is y?
39. 39.Manav has k laddoos. A friend has 4 more. Which expression shows how many laddoos the friend has? (a) k + 4 (b) 4k (c) k − 4 (d) k ÷ 4
40. 40.Find the value of 9a + 4b when a = 7 and b = 8.

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