Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 180 · 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.Aditya shares n shells equally among 4 friends. Which expression shows how many shells each friend gets? (a) n − 4 (b) 4n (c) n ÷ 4 (d) n + 4
2. 2.Dev has p kites. A friend has 5 fewer. Which expression shows how many kites the friend has? (a) 5p (b) p + 5 (c) p ÷ 5 (d) p − 5
3. 3.Dev has n balls. A friend has 9 times as many. Which expression shows how many balls the friend has? (a) n ÷ 9 (b) n + 9 (c) 9n (d) n − 9
4. 4.Find the value of 6a + 5b when a = 4 and b = 2.
5. 5.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 30 letters?
6. 6.Solve: 3p = 48. What is p?
7. 7.Solve: m + 12 = 25. What is m?
8. 8.Solve: t ÷ 2 = 7. What is t?
9. 9.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
10. 10.Riya has p kites. A friend has 4 more. Which expression shows how many kites the friend has? (a) p ÷ 4 (b) p + 4 (c) 4p (d) p − 4
11. 11.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
12. 12.Priya has p crayons. A friend has 3 more. Which expression shows how many crayons the friend has? (a) p ÷ 3 (b) p + 3 (c) p − 3 (d) 3p
13. 13.Find the value of 5t − 1 when t = 2.
14. 14.Find the value of 4a + 7b when a = 6 and b = 8.
15. 15.Find the value of 3m + 19 when m = 4.
16. 16.Find the value of 4p − 17 when p = 10.
17. 17.Solve: m + 3 = 11. What is m?
18. 18.Find the value of 8y + 17 when y = 1.
19. 19.Find the value of 6y + 19 when y = 4.
20. 20.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
21. 21.Diya has n flowers. A friend has 3 more. Which expression shows how many flowers the friend has? (a) n − 3 (b) 3n (c) n + 3 (d) n ÷ 3
22. 22.Find the value of 8m − 1 when m = 1.
23. 23.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
24. 24.Find the value of 4y + 11 when y = 11.
25. 25.Find the value of 7a + 8b when a = 2 and b = 8.
26. 26.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
27. 27.Find the value of 2a + 3b when a = 3 and b = 2.
28. 28.Solve: t + 2 = 11. What is t?
29. 29.Find the value of 2t + 11 when t = 12.
30. 30.Solve: 11y = 176. What is y?
31. 31.Ananya has m pencils. A friend has 8 more. Which expression shows how many pencils the friend has? (a) 8m (b) m − 8 (c) m ÷ 8 (d) m + 8
32. 32.Find the value of 2x − 2 when x = 7.
33. 33.Find the value of 9a + 3b when a = 3 and b = 7.
34. 34.Find the value of 2y − 2 when y = 3.
35. 35.Find the value of 3t + 14 when t = 2.
36. 36.Find the value of 4m + 2 when m = 6.
37. 37.Find the value of 4n + 15 when n = 4.
38. 38.Find the value of 8a + 8b when a = 3 and b = 8.
39. 39.Find the value of 5x + 15 when x = 2.
40. 40.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?

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