Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 602 · 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 5a + 4b when a = 5 and b = 5.
2. 2.Find the value of 9a + 4b when a = 6 and b = 4.
3. 3.Find the value of 3a + 4b when a = 4 and b = 7.
4. 4.Solve: n + 10 = 28. What is n?
5. 5.Find the value of 3a + 2b when a = 9 and b = 10.
6. 6.Solve: 5y = 85. What is y?
7. 7.Find the value of 7a + 6b when a = 6 and b = 9.
8. 8.Find the value of 3x − 4 when x = 6.
9. 9.Isha has k mangoes. A friend has 6 fewer. Which expression shows how many mangoes the friend has? (a) 6k (b) k ÷ 6 (c) k − 6 (d) k + 6
10. 10.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 5 letters?
11. 11.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?
12. 12.Solve: x + 7 = 19. What is x?
13. 13.Solve: 8p = 136. What is p?
14. 14.Find the value of 9a + 2b when a = 2 and b = 5.
15. 15.Find the value of 3p − 1 when p = 5.
16. 16.Isha shares m balloons equally among 6 friends. Which expression shows how many balloons each friend gets? (a) m ÷ 6 (b) m + 6 (c) m − 6 (d) 6m
17. 17.Find the value of 6a + 2b when a = 9 and b = 2.
18. 18.Find the value of 3a + 2b when a = 2 and b = 2.
19. 19.Find the value of 5n − 19 when n = 10.
20. 20.Meera has n books. A friend has 2 fewer. Which expression shows how many books the friend has? (a) 2n (b) n − 2 (c) n ÷ 2 (d) n + 2
21. 21.Find the value of 6a + 4b when a = 5 and b = 7.
22. 22.Aarav has k mangoes. A friend has 4 times as many. Which expression shows how many mangoes the friend has? (a) k + 4 (b) k ÷ 4 (c) 4k (d) k − 4
23. 23.Joseph has p shells. A friend has 4 times as many. Which expression shows how many shells the friend has? (a) p + 4 (b) p ÷ 4 (c) p − 4 (d) 4p
24. 24.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
25. 25.Find the value of 5a + 8b when a = 4 and b = 5.
26. 26.Saanvi has n shells. A friend has 2 times as many. Which expression shows how many shells the friend has? (a) n + 2 (b) n − 2 (c) 2n (d) n ÷ 2
27. 27.Find the value of 8p + 2 when p = 4.
28. 28.Dev has k books. A friend has 5 times as many. Which expression shows how many books the friend has? (a) k ÷ 5 (b) k + 5 (c) k − 5 (d) 5k
29. 29.Find the value of 6a + 5b when a = 9 and b = 3.
30. 30.Find the value of 3a + 2b when a = 5 and b = 2.
31. 31.Find the value of 9a + 4b when a = 3 and b = 10.
32. 32.Find the value of 8n − 88 when n = 12.
33. 33.Find the value of 7y + 13 when y = 4.
34. 34.Lakshmi shares n laddoos equally among 4 friends. Which expression shows how many laddoos each friend gets? (a) n − 4 (b) n + 4 (c) n ÷ 4 (d) 4n
35. 35.Ananya shares n crayons equally among 8 friends. Which expression shows how many crayons each friend gets? (a) n ÷ 8 (b) n − 8 (c) n + 8 (d) 8n
36. 36.Find the value of 6t + 19 when t = 9.
37. 37.Find the value of 4n − 3 when n = 6.
38. 38.Find the value of 9y + 1 when y = 1.
39. 39.Rahul has p marbles. A friend has 8 fewer. Which expression shows how many marbles the friend has? (a) p ÷ 8 (b) 8p (c) p + 8 (d) p − 8
40. 40.Solve: m − 9 = 15. What is m?

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