Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 326 · 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 + 10 = 29. What is p?
2. 2.Find the value of 4a + 6b when a = 7 and b = 1.
3. 3.Solve: 5p = 90. What is p?
4. 4.Find the value of 5n − 3 when n = 1.
5. 5.Tara has k marbles. A friend has 6 fewer. Which expression shows how many marbles the friend has? (a) k + 6 (b) k − 6 (c) k ÷ 6 (d) 6k
6. 6.Kavya has n pencils. A friend has 3 times as many. Which expression shows how many pencils the friend has? (a) n ÷ 3 (b) n + 3 (c) n − 3 (d) 3n
7. 7.Solve: t ÷ 11 = 18. What is t?
8. 8.Find the value of 7y − 1 when y = 1.
9. 9.Find the value of 5n + 3 when n = 1.
10. 10.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
11. 11.Find the value of 7a + 2b when a = 7 and b = 4.
12. 12.Solve: n − 5 = 4. What is n?
13. 13.Find the value of 6x + 20 when x = 6.
14. 14.Aarav has p balloons. A friend has 3 more. Which expression shows how many balloons the friend has? (a) p ÷ 3 (b) p + 3 (c) 3p (d) p − 3
15. 15.Solve: 3t = 18. What is t?
16. 16.Find the value of 6a + 6b when a = 5 and b = 2.
17. 17.Arjun has m pencils. A friend has 9 more. Which expression shows how many pencils the friend has? (a) 9m (b) m − 9 (c) m ÷ 9 (d) m + 9
18. 18.Aarav has m pencils. A friend has 3 times as many. Which expression shows how many pencils the friend has? (a) 3m (b) m ÷ 3 (c) m + 3 (d) m − 3
19. 19.Find the value of 3a + 6b when a = 8 and b = 8.
20. 20.Solve: m − 11 = 4. What is m?
21. 21.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
22. 22.Solve: y − 5 = 6. What is y?
23. 23.Find the value of 4a + 9b when a = 8 and b = 2.
24. 24.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
25. 25.Solve: p + 2 = 22. What is p?
26. 26.Find the value of 5t − 34 when t = 10.
27. 27.Joseph has p balls. A friend has 5 fewer. Which expression shows how many balls the friend has? (a) p − 5 (b) p + 5 (c) 5p (d) p ÷ 5
28. 28.Manav has m laddoos. A friend has 5 fewer. Which expression shows how many laddoos the friend has? (a) m − 5 (b) 5m (c) m ÷ 5 (d) m + 5
29. 29.Find the value of 8x − 2 when x = 6.
30. 30.Find the value of 6x − 48 when x = 11.
31. 31.Solve: x + 4 = 13. What is x?
32. 32.Ishaan has n pencils. A friend has 7 more. Which expression shows how many pencils the friend has? (a) n − 7 (b) n + 7 (c) n ÷ 7 (d) 7n
33. 33.Find the value of 2m + 12 when m = 1.
34. 34.Solve: t ÷ 3 = 12. What is t?
35. 35.Find the value of 6a + 2b when a = 1 and b = 10.
36. 36.Find the value of 2n + 14 when n = 1.
37. 37.Find the value of 9t + 16 when t = 9.
38. 38.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
39. 39.Farhan shares k laddoos equally among 7 friends. Which expression shows how many laddoos each friend gets? (a) k + 7 (b) k ÷ 7 (c) k − 7 (d) 7k
40. 40.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?

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