Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 441 · 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 − 8 = 19. What is n?
2. 2.Find the value of 9t − 3 when t = 1.
3. 3.Solve: p ÷ 4 = 14. What is p?
4. 4.Priya shares k flowers equally among 9 friends. Which expression shows how many flowers each friend gets? (a) 9k (b) k ÷ 9 (c) k + 9 (d) k − 9
5. 5.Find the value of 8m − 38 when m = 6.
6. 6.Find the value of 5y + 12 when y = 4.
7. 7.Solve: n + 9 = 10. What is n?
8. 8.Solve: 3p = 42. What is p?
9. 9.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
10. 10.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
11. 11.Kabir has m marbles. A friend has 9 fewer. Which expression shows how many marbles the friend has? (a) 9m (b) m ÷ 9 (c) m + 9 (d) m − 9
12. 12.Kabir shares n balloons equally among 5 friends. Which expression shows how many balloons each friend gets? (a) n + 5 (b) 5n (c) n ÷ 5 (d) n − 5
13. 13.Pooja has m books. A friend has 9 more. Which expression shows how many books the friend has? (a) m ÷ 9 (b) 9m (c) m + 9 (d) m − 9
14. 14.Find the value of 7a + 2b when a = 8 and b = 3.
15. 15.Find the value of 3p + 4 when p = 1.
16. 16.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
17. 17.Solve: t + 4 = 15. What is t?
18. 18.Solve: m + 4 = 22. What is m?
19. 19.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
20. 20.Find the value of 6m − 34 when m = 12.
21. 21.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
22. 22.Solve: m + 7 = 10. What is m?
23. 23.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
24. 24.Find the value of 2p + 13 when p = 12.
25. 25.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 29 letters?
26. 26.Farhan shares m shells equally among 7 friends. Which expression shows how many shells each friend gets? (a) 7m (b) m + 7 (c) m ÷ 7 (d) m − 7
27. 27.Find the value of 4y − 2 when y = 1.
28. 28.Solve: y + 2 = 8. What is y?
29. 29.Ananya has m laddoos. A friend has 7 more. Which expression shows how many laddoos the friend has? (a) m − 7 (b) m ÷ 7 (c) 7m (d) m + 7
30. 30.Manav shares k balls equally among 2 friends. Which expression shows how many balls each friend gets? (a) k + 2 (b) 2k (c) k ÷ 2 (d) k − 2
31. 31.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 14 letters?
32. 32.Solve: m − 8 = 12. What is m?
33. 33.Solve: n ÷ 5 = 10. What is n?
34. 34.Find the value of 5x + 1 when x = 11.
35. 35.Karan has p marbles. A friend has 7 fewer. Which expression shows how many marbles the friend has? (a) p + 7 (b) p − 7 (c) p ÷ 7 (d) 7p
36. 36.Find the value of 5n − 1 when n = 2.
37. 37.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
38. 38.Solve: t + 7 = 11. What is t?
39. 39.Find the value of 5a + 5b when a = 4 and b = 9.
40. 40.Priya shares n flowers equally among 6 friends. Which expression shows how many flowers each friend gets? (a) n − 6 (b) n + 6 (c) 6n (d) n ÷ 6

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