Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 152 · 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.Tara has p laddoos. A friend has 9 more. Which expression shows how many laddoos the friend has? (a) 9p (b) p ÷ 9 (c) p + 9 (d) p − 9
2. 2.Aarav has k laddoos. A friend has 7 more. Which expression shows how many laddoos the friend has? (a) k ÷ 7 (b) k − 7 (c) k + 7 (d) 7k
3. 3.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 9 letters?
4. 4.Find the value of 4p − 8 when p = 11.
5. 5.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 21 letters?
6. 6.Dev has p shells. A friend has 5 fewer. Which expression shows how many shells the friend has? (a) p ÷ 5 (b) 5p (c) p + 5 (d) p − 5
7. 7.Find the value of 6a + 5b when a = 8 and b = 5.
8. 8.Find the value of 3a + 3b when a = 8 and b = 10.
9. 9.Solve: y ÷ 6 = 1. What is y?
10. 10.Find the value of 8a + 9b when a = 9 and b = 2.
11. 11.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 23 letters?
12. 12.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 13 letters?
13. 13.Find the value of 2a + 3b when a = 2 and b = 3.
14. 14.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
15. 15.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
16. 16.Solve: 4n = 4. What is n?
17. 17.Find the value of 2a + 2b when a = 1 and b = 8.
18. 18.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
19. 19.Solve: y − 2 = 5. What is y?
20. 20.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
21. 21.Find the value of 4t − 17 when t = 5.
22. 22.Solve: p ÷ 4 = 8. What is p?
23. 23.Find the value of 7y + 6 when y = 3.
24. 24.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
25. 25.Solve: 12n = 144. What is n?
26. 26.Find the value of 9y − 31 when y = 12.
27. 27.Rahul shares n mangoes equally among 7 friends. Which expression shows how many mangoes each friend gets? (a) n + 7 (b) n − 7 (c) 7n (d) n ÷ 7
28. 28.Find the value of 6x + 15 when x = 9.
29. 29.Find the value of 8m + 15 when m = 11.
30. 30.Find the value of 7a + 7b when a = 7 and b = 1.
31. 31.Aditya has p pencils. A friend has 4 more. Which expression shows how many pencils the friend has? (a) p ÷ 4 (b) 4p (c) p + 4 (d) p − 4
32. 32.Find the value of 5n + 1 when n = 8.
33. 33.Find the value of 7n + 2 when n = 12.
34. 34.Find the value of 2a + 4b when a = 3 and b = 7.
35. 35.Find the value of 3p − 7 when p = 4.
36. 36.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 6 letters?
37. 37.Find the value of 6x − 25 when x = 5.
38. 38.Find the value of 8x + 7 when x = 4.
39. 39.Find the value of 3a + 2b when a = 4 and b = 3.
40. 40.Solve: t ÷ 12 = 17. What is t?

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