Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 196 · 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 U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
2. 2.Find the value of 2n + 17 when n = 3.
3. 3.Find the value of 3m + 1 when m = 3.
4. 4.Arjun has m balloons. A friend has 7 times as many. Which expression shows how many balloons the friend has? (a) m + 7 (b) 7m (c) m − 7 (d) m ÷ 7
5. 5.Find the value of 8m + 11 when m = 5.
6. 6.Find the value of 3a + 3b when a = 3 and b = 4.
7. 7.Solve: 10p = 10. What is p?
8. 8.Aarav has p shells. A friend has 3 times as many. Which expression shows how many shells the friend has? (a) p ÷ 3 (b) p − 3 (c) p + 3 (d) 3p
9. 9.Nisha has n pencils. A friend has 4 more. Which expression shows how many pencils the friend has? (a) n + 4 (b) 4n (c) n − 4 (d) n ÷ 4
10. 10.Solve: n + 4 = 8. What is n?
11. 11.Find the value of 7m + 12 when m = 7.
12. 12.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
13. 13.Solve: t − 11 = 11. What is t?
14. 14.Find the value of 8y + 2 when y = 4.
15. 15.Find the value of 8a + 4b when a = 5 and b = 8.
16. 16.Solve: m − 12 = 11. What is m?
17. 17.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 27 letters?
18. 18.Farhan has p laddoos. A friend has 5 more. Which expression shows how many laddoos the friend has? (a) 5p (b) p − 5 (c) p ÷ 5 (d) p + 5
19. 19.Solve: m ÷ 10 = 20. What is m?
20. 20.Find the value of 6y + 10 when y = 3.
21. 21.Isha has p balloons. A friend has 8 fewer. Which expression shows how many balloons the friend has? (a) p − 8 (b) 8p (c) p ÷ 8 (d) p + 8
22. 22.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
23. 23.Diya has p books. A friend has 5 more. Which expression shows how many books the friend has? (a) 5p (b) p ÷ 5 (c) p − 5 (d) p + 5
24. 24.Find the value of 5t + 7 when t = 4.
25. 25.Find the value of 9a + 8b when a = 6 and b = 2.
26. 26.Aarav has k kites. A friend has 6 more. Which expression shows how many kites the friend has? (a) k + 6 (b) 6k (c) k − 6 (d) k ÷ 6
27. 27.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
28. 28.Find the value of 8t + 19 when t = 5.
29. 29.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
30. 30.Find the value of 8t + 10 when t = 12.
31. 31.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
32. 32.Find the value of 2a + 7b when a = 4 and b = 3.
33. 33.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 9 letters?
34. 34.Find the value of 2a + 3b when a = 10 and b = 4.
35. 35.Find the value of 8t + 12 when t = 6.
36. 36.Solve: 9x = 171. What is x?
37. 37.Solve: t − 4 = 10. What is t?
38. 38.Find the value of 5a + 7b when a = 10 and b = 2.
39. 39.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
40. 40.Find the value of 4a + 4b when a = 6 and b = 4.

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