Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 98 · 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.Find the value of 9y − 32 when y = 9.
2. 2.Vivaan has n balloons. A friend has 9 fewer. Which expression shows how many balloons the friend has? (a) n ÷ 9 (b) n − 9 (c) 9n (d) n + 9
3. 3.Find the value of 4a + 3b when a = 10 and b = 8.
4. 4.Find the value of 5m + 2 when m = 7.
5. 5.Manav has k balloons. A friend has 4 more. Which expression shows how many balloons the friend has? (a) k − 4 (b) k + 4 (c) k ÷ 4 (d) 4k
6. 6.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
7. 7.Solve: 2p = 10. What is p?
8. 8.Find the value of 3a + 8b when a = 3 and b = 5.
9. 9.Priya has n balls. A friend has 4 times as many. Which expression shows how many balls the friend has? (a) n − 4 (b) n ÷ 4 (c) 4n (d) n + 4
10. 10.Find the value of 8n + 14 when n = 11.
11. 11.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
12. 12.Solve: t + 11 = 16. What is t?
13. 13.Kabir shares m pencils equally among 8 friends. Which expression shows how many pencils each friend gets? (a) m − 8 (b) m ÷ 8 (c) m + 8 (d) 8m
14. 14.Find the value of 6a + 8b when a = 7 and b = 1.
15. 15.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
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.Manav shares m bananas equally among 3 friends. Which expression shows how many bananas each friend gets? (a) m − 3 (b) m + 3 (c) 3m (d) m ÷ 3
18. 18.Find the value of 3m + 18 when m = 2.
19. 19.Rahul has m shells. A friend has 2 times as many. Which expression shows how many shells the friend has? (a) m − 2 (b) m + 2 (c) m ÷ 2 (d) 2m
20. 20.Find the value of 3y − 17 when y = 6.
21. 21.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
22. 22.Find the value of 3p − 2 when p = 12.
23. 23.Solve: 7x = 77. What is x?
24. 24.Riya shares n pencils equally among 7 friends. Which expression shows how many pencils each friend gets? (a) n + 7 (b) n − 7 (c) 7n (d) n ÷ 7
25. 25.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 6 letters?
26. 26.Solve: 11x = 99. What is x?
27. 27.Solve: m − 7 = 9. What is m?
28. 28.Diya has p flowers. A friend has 9 more. Which expression shows how many flowers the friend has? (a) p − 9 (b) p ÷ 9 (c) p + 9 (d) 9p
29. 29.Find the value of 2y − 1 when y = 1.
30. 30.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
31. 31.Solve: p + 3 = 12. What is p?
32. 32.Find the value of 2y − 4 when y = 11.
33. 33.Find the value of 9a + 2b when a = 8 and b = 10.
34. 34.Diya has n marbles. A friend has 4 fewer. Which expression shows how many marbles the friend has? (a) n + 4 (b) n ÷ 4 (c) 4n (d) n − 4
35. 35.Solve: y ÷ 7 = 16. What is y?
36. 36.Solve: p + 12 = 18. What is p?
37. 37.Find the value of 6a + 9b when a = 6 and b = 5.
38. 38.Solve: x + 6 = 13. What is x?
39. 39.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
40. 40.Manav shares k pencils equally among 3 friends. Which expression shows how many pencils each friend gets? (a) k + 3 (b) 3k (c) k ÷ 3 (d) k − 3

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