Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 472 · 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.Kavya shares k flowers equally among 8 friends. Which expression shows how many flowers each friend gets? (a) 8k (b) k + 8 (c) k − 8 (d) k ÷ 8
2. 2.Find the value of 5n + 2 when n = 6.
3. 3.Find the value of 3p + 7 when p = 3.
4. 4.Solve: y ÷ 11 = 12. What is y?
5. 5.Find the value of 8a + 3b when a = 5 and b = 4.
6. 6.Find the value of 7a + 5b when a = 2 and b = 2.
7. 7.Solve: y + 10 = 23. What is y?
8. 8.Find the value of 8x − 23 when x = 6.
9. 9.Solve: p + 4 = 15. What is p?
10. 10.Find the value of 8a + 2b when a = 5 and b = 7.
11. 11.Find the value of 6m + 15 when m = 11.
12. 12.Zoya shares k shells equally among 6 friends. Which expression shows how many shells each friend gets? (a) k ÷ 6 (b) 6k (c) k + 6 (d) k − 6
13. 13.Find the value of 6a + 4b when a = 1 and b = 3.
14. 14.Find the value of 3y − 11 when y = 12.
15. 15.Solve: p ÷ 12 = 8. What is p?
16. 16.Find the value of 7x + 18 when x = 2.
17. 17.Ananya has m shells. A friend has 8 fewer. Which expression shows how many shells the friend has? (a) m + 8 (b) m − 8 (c) m ÷ 8 (d) 8m
18. 18.Rohan has n laddoos. A friend has 3 more. Which expression shows how many laddoos the friend has? (a) n − 3 (b) n + 3 (c) n ÷ 3 (d) 3n
19. 19.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
20. 20.Find the value of 8a + 2b when a = 1 and b = 5.
21. 21.Solve: 4t = 4. What is t?
22. 22.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
23. 23.Find the value of 5t + 12 when t = 4.
24. 24.Find the value of 8t + 13 when t = 11.
25. 25.Find the value of 5a + 8b when a = 8 and b = 9.
26. 26.Farhan has m balloons. A friend has 5 more. Which expression shows how many balloons the friend has? (a) m − 5 (b) 5m (c) m ÷ 5 (d) m + 5
27. 27.Solve: m + 12 = 26. What is m?
28. 28.Dev shares n pencils equally among 5 friends. Which expression shows how many pencils each friend gets? (a) 5n (b) n ÷ 5 (c) n + 5 (d) n − 5
29. 29.Find the value of 7y − 9 when y = 8.
30. 30.Find the value of 9y + 13 when y = 5.
31. 31.Kavya has m mangoes. A friend has 3 more. Which expression shows how many mangoes the friend has? (a) m + 3 (b) m ÷ 3 (c) m − 3 (d) 3m
32. 32.Find the value of 2m − 2 when m = 6.
33. 33.Solve: m ÷ 6 = 7. What is m?
34. 34.Find the value of 3x − 4 when x = 3.
35. 35.Solve: n − 2 = 1. What is n?
36. 36.Solve: y + 12 = 23. What is y?
37. 37.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
38. 38.Sneha has m flowers. A friend has 4 more. Which expression shows how many flowers the friend has? (a) m ÷ 4 (b) m + 4 (c) m − 4 (d) 4m
39. 39.Gurpreet shares m crayons equally among 3 friends. Which expression shows how many crayons each friend gets? (a) m + 3 (b) 3m (c) m ÷ 3 (d) m − 3
40. 40.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?

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