Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 59 · 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 7x + 7 when x = 7.
2. 2.Solve: 11y = 154. What is y?
3. 3.Solve: 3t = 42. What is t?
4. 4.Find the value of 8m + 10 when m = 1.
5. 5.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
6. 6.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
7. 7.Find the value of 6y + 14 when y = 12.
8. 8.Solve: n ÷ 9 = 17. What is n?
9. 9.Find the value of 8a + 7b when a = 2 and b = 8.
10. 10.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 14 letters?
11. 11.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
12. 12.Find the value of 4n − 1 when n = 1.
13. 13.Kabir has p crayons. A friend has 2 times as many. Which expression shows how many crayons the friend has? (a) p − 2 (b) 2p (c) p ÷ 2 (d) p + 2
14. 14.Solve: t − 8 = 13. What is t?
15. 15.Aditya has n balls. A friend has 4 more. Which expression shows how many balls the friend has? (a) n + 4 (b) 4n (c) n − 4 (d) n ÷ 4
16. 16.Solve: m − 3 = 1. What is m?
17. 17.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 28 letters?
18. 18.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
19. 19.Solve: x + 9 = 27. What is x?
20. 20.Solve: y − 7 = 11. What is y?
21. 21.Find the value of 5t − 4 when t = 2.
22. 22.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
23. 23.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 20 letters?
24. 24.Rohan shares k flowers equally among 4 friends. Which expression shows how many flowers each friend gets? (a) k + 4 (b) 4k (c) k ÷ 4 (d) k − 4
25. 25.Solve: x + 6 = 21. What is x?
26. 26.Solve: 12p = 228. What is p?
27. 27.Find the value of 5m − 18 when m = 4.
28. 28.Kabir has m flowers. A friend has 7 more. Which expression shows how many flowers the friend has? (a) 7m (b) m ÷ 7 (c) m + 7 (d) m − 7
29. 29.Find the value of 9a + 8b when a = 4 and b = 6.
30. 30.Priya has k books. A friend has 6 times as many. Which expression shows how many books the friend has? (a) k − 6 (b) k + 6 (c) k ÷ 6 (d) 6k
31. 31.Saanvi has n mangoes. A friend has 2 times as many. Which expression shows how many mangoes the friend has? (a) n − 2 (b) 2n (c) n ÷ 2 (d) n + 2
32. 32.Solve: n + 6 = 7. What is n?
33. 33.Find the value of 6n − 10 when n = 10.
34. 34.Find the value of 9a + 5b when a = 4 and b = 8.
35. 35.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 13 letters?
36. 36.Find the value of 5m + 11 when m = 9.
37. 37.Solve: 8t = 16. What is t?
38. 38.Farhan has k flowers. A friend has 6 fewer. Which expression shows how many flowers the friend has? (a) k + 6 (b) 6k (c) k − 6 (d) k ÷ 6
39. 39.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 24 letters?
40. 40.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 6 letters?

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