Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 204 · 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 V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
2. 2.Solve: 8p = 64. What is p?
3. 3.Find the value of 7a + 8b when a = 3 and b = 7.
4. 4.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
5. 5.Solve: y + 5 = 16. What is y?
6. 6.Find the value of 4y + 18 when y = 3.
7. 7.Solve: y − 5 = 16. What is y?
8. 8.Solve: 12x = 144. What is x?
9. 9.Find the value of 3y + 1 when y = 2.
10. 10.Find the value of 6a + 3b when a = 4 and b = 2.
11. 11.Find the value of 6p + 19 when p = 1.
12. 12.Find the value of 2n − 4 when n = 8.
13. 13.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
14. 14.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
15. 15.Find the value of 6y + 11 when y = 7.
16. 16.Solve: m ÷ 8 = 16. What is m?
17. 17.Solve: t ÷ 11 = 10. What is t?
18. 18.Find the value of 7a + 8b when a = 6 and b = 9.
19. 19.Find the value of 7n + 14 when n = 8.
20. 20.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
21. 21.Solve: x ÷ 5 = 3. What is x?
22. 22.Solve: m − 9 = 19. What is m?
23. 23.Karan has k laddoos. A friend has 5 times as many. Which expression shows how many laddoos the friend has? (a) k ÷ 5 (b) k + 5 (c) k − 5 (d) 5k
24. 24.Zoya has p laddoos. A friend has 3 more. Which expression shows how many laddoos the friend has? (a) p ÷ 3 (b) 3p (c) p − 3 (d) p + 3
25. 25.Find the value of 4a + 9b when a = 3 and b = 1.
26. 26.Karan has p mangoes. A friend has 5 fewer. Which expression shows how many mangoes the friend has? (a) 5p (b) p − 5 (c) p ÷ 5 (d) p + 5
27. 27.Diya has k balls. A friend has 3 times as many. Which expression shows how many balls the friend has? (a) 3k (b) k ÷ 3 (c) k + 3 (d) k − 3
28. 28.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
29. 29.Find the value of 4p − 4 when p = 9.
30. 30.Find the value of 3m + 9 when m = 7.
31. 31.Solve: x ÷ 9 = 9. What is x?
32. 32.Aarav has k crayons. A friend has 6 times as many. Which expression shows how many crayons the friend has? (a) k ÷ 6 (b) k − 6 (c) 6k (d) k + 6
33. 33.Find the value of 3m − 7 when m = 4.
34. 34.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
35. 35.Nisha has k laddoos. A friend has 6 times as many. Which expression shows how many laddoos the friend has? (a) k ÷ 6 (b) 6k (c) k + 6 (d) k − 6
36. 36.Find the value of 3x + 6 when x = 3.
37. 37.Meera has n pencils. A friend has 9 more. Which expression shows how many pencils the friend has? (a) 9n (b) n + 9 (c) n − 9 (d) n ÷ 9
38. 38.Sneha has n balloons. A friend has 3 more. Which expression shows how many balloons the friend has? (a) n + 3 (b) n − 3 (c) n ÷ 3 (d) 3n
39. 39.Find the value of 2n + 13 when n = 12.
40. 40.Find the value of 8t − 16 when t = 9.

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