Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 172 · 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.Find the value of 7y + 16 when y = 4.
2. 2.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 24 letters?
3. 3.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 20 letters?
4. 4.Find the value of 5a + 6b when a = 9 and b = 3.
5. 5.Solve: n ÷ 12 = 2. What is n?
6. 6.Find the value of 3a + 8b when a = 9 and b = 1.
7. 7.Find the value of 2a + 7b when a = 3 and b = 4.
8. 8.Find the value of 9a + 2b when a = 10 and b = 8.
9. 9.Lakshmi has m balls. A friend has 3 times as many. Which expression shows how many balls the friend has? (a) m − 3 (b) 3m (c) m ÷ 3 (d) m + 3
10. 10.Find the value of 4n + 2 when n = 3.
11. 11.Find the value of 7a + 8b when a = 4 and b = 2.
12. 12.Solve: 7t = 21. What is t?
13. 13.Find the value of 3y − 5 when y = 8.
14. 14.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
15. 15.Find the value of 2y − 9 when y = 5.
16. 16.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 25 letters?
17. 17.Kabir shares n books equally among 9 friends. Which expression shows how many books each friend gets? (a) 9n (b) n − 9 (c) n + 9 (d) n ÷ 9
18. 18.Solve: p ÷ 11 = 12. What is p?
19. 19.Find the value of 4y − 10 when y = 3.
20. 20.Find the value of 6a + 4b when a = 7 and b = 4.
21. 21.Find the value of 8a + 5b when a = 7 and b = 3.
22. 22.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 26 letters?
23. 23.Kavya shares m marbles equally among 2 friends. Which expression shows how many marbles each friend gets? (a) 2m (b) m ÷ 2 (c) m − 2 (d) m + 2
24. 24.Find the value of 9a + 6b when a = 7 and b = 1.
25. 25.Find the value of 4a + 5b when a = 9 and b = 1.
26. 26.Find the value of 3a + 5b when a = 3 and b = 8.
27. 27.Find the value of 9a + 8b when a = 4 and b = 4.
28. 28.Find the value of 4a + 3b when a = 7 and b = 2.
29. 29.Solve: y + 8 = 11. What is y?
30. 30.Find the value of 8a + 3b when a = 6 and b = 7.
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.Solve: t − 11 = 1. What is t?
33. 33.Find the value of 8t − 55 when t = 11.
34. 34.Find the value of 3m + 11 when m = 8.
35. 35.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
36. 36.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
37. 37.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
38. 38.Gurpreet has p mangoes. A friend has 7 more. Which expression shows how many mangoes the friend has? (a) p + 7 (b) 7p (c) p ÷ 7 (d) p − 7
39. 39.Find the value of 3m + 14 when m = 9.
40. 40.Karan has p kites. A friend has 5 times as many. Which expression shows how many kites the friend has? (a) 5p (b) p − 5 (c) p ÷ 5 (d) p + 5

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