Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 578 · 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.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
2. 2.Solve: 7p = 7. What is p?
3. 3.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 13 letters?
4. 4.Find the value of 2a + 2b when a = 6 and b = 9.
5. 5.Find the value of 7p + 17 when p = 9.
6. 6.Rahul has k balloons. A friend has 9 fewer. Which expression shows how many balloons the friend has? (a) 9k (b) k + 9 (c) k ÷ 9 (d) k − 9
7. 7.Solve: p ÷ 7 = 16. What is p?
8. 8.Saanvi has n balloons. A friend has 2 more. Which expression shows how many balloons the friend has? (a) n − 2 (b) n ÷ 2 (c) n + 2 (d) 2n
9. 9.Find the value of 4n + 9 when n = 1.
10. 10.Solve: m + 12 = 32. What is m?
11. 11.Nisha has k laddoos. A friend has 4 fewer. Which expression shows how many laddoos the friend has? (a) 4k (b) k − 4 (c) k ÷ 4 (d) k + 4
12. 12.Solve: x ÷ 5 = 17. What is x?
13. 13.Find the value of 4a + 4b when a = 6 and b = 7.
14. 14.Find the value of 9x − 19 when x = 4.
15. 15.Riya shares n marbles equally among 5 friends. Which expression shows how many marbles each friend gets? (a) n + 5 (b) n − 5 (c) n ÷ 5 (d) 5n
16. 16.Isha has n shells. A friend has 2 times as many. Which expression shows how many shells the friend has? (a) 2n (b) n − 2 (c) n ÷ 2 (d) n + 2
17. 17.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
18. 18.Solve: m ÷ 5 = 16. What is m?
19. 19.Find the value of 5y − 1 when y = 2.
20. 20.Sneha has k books. A friend has 3 fewer. Which expression shows how many books the friend has? (a) k + 3 (b) k ÷ 3 (c) 3k (d) k − 3
21. 21.Find the value of 8t + 1 when t = 10.
22. 22.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
23. 23.Priya has k crayons. A friend has 8 fewer. Which expression shows how many crayons the friend has? (a) k − 8 (b) k + 8 (c) k ÷ 8 (d) 8k
24. 24.Kavya has n flowers. A friend has 8 fewer. Which expression shows how many flowers the friend has? (a) n + 8 (b) 8n (c) n − 8 (d) n ÷ 8
25. 25.Find the value of 7n − 27 when n = 4.
26. 26.Find the value of 5p + 20 when p = 5.
27. 27.Find the value of 9a + 9b when a = 5 and b = 8.
28. 28.Ishaan has k flowers. A friend has 4 fewer. Which expression shows how many flowers the friend has? (a) 4k (b) k ÷ 4 (c) k − 4 (d) k + 4
29. 29.Find the value of 8m − 13 when m = 2.
30. 30.Find the value of 4n + 9 when n = 5.
31. 31.Find the value of 3t + 7 when t = 3.
32. 32.Find the value of 2x + 1 when x = 8.
33. 33.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
34. 34.Zoya has k pencils. A friend has 2 fewer. Which expression shows how many pencils the friend has? (a) k ÷ 2 (b) k − 2 (c) k + 2 (d) 2k
35. 35.Solve: y ÷ 9 = 17. What is y?
36. 36.Aditya shares m flowers equally among 7 friends. Which expression shows how many flowers each friend gets? (a) m ÷ 7 (b) m + 7 (c) 7m (d) m − 7
37. 37.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
38. 38.Find the value of 3a + 8b when a = 3 and b = 5.
39. 39.Find the value of 5m + 1 when m = 12.
40. 40.Find the value of 3a + 4b when a = 4 and b = 9.

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