Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 58 · 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: p − 12 = 16. What is p?
2. 2.Find the value of 6a + 4b when a = 4 and b = 4.
3. 3.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
4. 4.Find the value of 8n − 42 when n = 7.
5. 5.Diya shares n books equally among 7 friends. Which expression shows how many books each friend gets? (a) n + 7 (b) 7n (c) n − 7 (d) n ÷ 7
6. 6.Isha has m laddoos. A friend has 4 more. Which expression shows how many laddoos the friend has? (a) m + 4 (b) m − 4 (c) 4m (d) m ÷ 4
7. 7.Solve: m − 3 = 15. What is m?
8. 8.Solve: x ÷ 11 = 16. What is x?
9. 9.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 17 letters?
10. 10.Find the value of 7n + 9 when n = 10.
11. 11.Solve: 3p = 54. What is p?
12. 12.Solve: y + 2 = 19. What is y?
13. 13.Find the value of 5y − 4 when y = 3.
14. 14.Arjun has m pencils. A friend has 9 times as many. Which expression shows how many pencils the friend has? (a) 9m (b) m − 9 (c) m + 9 (d) m ÷ 9
15. 15.Find the value of 8m + 19 when m = 1.
16. 16.Find the value of 3n + 13 when n = 12.
17. 17.Sneha shares m laddoos equally among 2 friends. Which expression shows how many laddoos each friend gets? (a) m − 2 (b) 2m (c) m ÷ 2 (d) m + 2
18. 18.Find the value of 2a + 6b when a = 4 and b = 4.
19. 19.Solve: t + 4 = 5. What is t?
20. 20.Solve: m + 12 = 14. What is m?
21. 21.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
22. 22.Find the value of 7a + 9b when a = 7 and b = 10.
23. 23.Solve: y + 3 = 15. What is y?
24. 24.Find the value of 5p − 2 when p = 3.
25. 25.Find the value of 5p + 18 when p = 1.
26. 26.Solve: 5t = 60. What is t?
27. 27.Tara shares p crayons equally among 8 friends. Which expression shows how many crayons each friend gets? (a) 8p (b) p + 8 (c) p − 8 (d) p ÷ 8
28. 28.Find the value of 4a + 4b when a = 6 and b = 2.
29. 29.Solve: 11x = 121. What is x?
30. 30.Find the value of 4m − 4 when m = 9.
31. 31.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
32. 32.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
33. 33.Aarav has k books. A friend has 5 more. Which expression shows how many books the friend has? (a) k ÷ 5 (b) k + 5 (c) 5k (d) k − 5
34. 34.Find the value of 5n − 14 when n = 6.
35. 35.Solve: p − 10 = 3. What is p?
36. 36.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
37. 37.Find the value of 9a + 8b when a = 10 and b = 4.
38. 38.Riya has k flowers. A friend has 4 fewer. Which expression shows how many flowers the friend has? (a) k − 4 (b) k + 4 (c) 4k (d) k ÷ 4
39. 39.Find the value of 6a + 4b when a = 8 and b = 6.
40. 40.Find the value of 8a + 5b when a = 10 and b = 3.

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