Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 476 · 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.Kavya has m laddoos. A friend has 4 times as many. Which expression shows how many laddoos the friend has? (a) m − 4 (b) 4m (c) m ÷ 4 (d) m + 4
2. 2.Find the value of 7y + 2 when y = 1.
3. 3.Find the value of 8t + 13 when t = 7.
4. 4.Kabir has k crayons. A friend has 2 times as many. Which expression shows how many crayons the friend has? (a) k ÷ 2 (b) k + 2 (c) k − 2 (d) 2k
5. 5.Solve: x ÷ 4 = 11. What is x?
6. 6.Find the value of 8a + 8b when a = 2 and b = 5.
7. 7.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 23 letters?
8. 8.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
9. 9.Meera has n mangoes. A friend has 3 times as many. Which expression shows how many mangoes the friend has? (a) 3n (b) n − 3 (c) n + 3 (d) n ÷ 3
10. 10.Nisha has k pencils. A friend has 8 fewer. Which expression shows how many pencils the friend has? (a) k ÷ 8 (b) k − 8 (c) k + 8 (d) 8k
11. 11.Find the value of 3x − 2 when x = 5.
12. 12.Find the value of 6m − 18 when m = 10.
13. 13.Find the value of 7a + 7b when a = 9 and b = 7.
14. 14.Diya has k balloons. A friend has 4 fewer. Which expression shows how many balloons the friend has? (a) k ÷ 4 (b) k + 4 (c) k − 4 (d) 4k
15. 15.Find the value of 2p − 6 when p = 11.
16. 16.Nisha has n balloons. A friend has 3 fewer. Which expression shows how many balloons the friend has? (a) n − 3 (b) 3n (c) n + 3 (d) n ÷ 3
17. 17.Solve: m − 3 = 2. What is m?
18. 18.Find the value of 4a + 8b when a = 5 and b = 3.
19. 19.Find the value of 7a + 2b when a = 1 and b = 10.
20. 20.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 11 letters?
21. 21.Solve: y − 4 = 11. What is y?
22. 22.Karan shares k balls equally among 6 friends. Which expression shows how many balls each friend gets? (a) 6k (b) k + 6 (c) k − 6 (d) k ÷ 6
23. 23.Saanvi has p marbles. A friend has 3 more. Which expression shows how many marbles the friend has? (a) p − 3 (b) p + 3 (c) 3p (d) p ÷ 3
24. 24.Ananya has p mangoes. A friend has 2 fewer. Which expression shows how many mangoes the friend has? (a) p ÷ 2 (b) p − 2 (c) 2p (d) p + 2
25. 25.Find the value of 8a + 9b when a = 4 and b = 2.
26. 26.Find the value of 4a + 9b when a = 1 and b = 3.
27. 27.Solve: 6n = 90. What is n?
28. 28.Solve: n − 7 = 11. What is n?
29. 29.Find the value of 8x + 9 when x = 8.
30. 30.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
31. 31.Find the value of 9y − 12 when y = 11.
32. 32.Solve: t + 4 = 8. What is t?
33. 33.Find the value of 6y + 10 when y = 11.
34. 34.Find the value of 7t − 21 when t = 6.
35. 35.Find the value of 6x − 17 when x = 3.
36. 36.Find the value of 6y − 37 when y = 10.
37. 37.Find the value of 9a + 5b when a = 2 and b = 3.
38. 38.Find the value of 3m + 4 when m = 10.
39. 39.Solve: p − 6 = 6. What is p?
40. 40.Solve: t ÷ 11 = 2. What is t?

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