Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 200 · 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 C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
2. 2.Find the value of 3a + 5b when a = 10 and b = 8.
3. 3.Zoya has k flowers. A friend has 8 times as many. Which expression shows how many flowers the friend has? (a) k + 8 (b) k − 8 (c) 8k (d) k ÷ 8
4. 4.Find the value of 3a + 7b when a = 9 and b = 9.
5. 5.Find the value of 5m + 6 when m = 10.
6. 6.Find the value of 3a + 3b when a = 1 and b = 2.
7. 7.Find the value of 2a + 2b when a = 10 and b = 3.
8. 8.Karan has p flowers. A friend has 9 times as many. Which expression shows how many flowers the friend has? (a) p + 9 (b) p ÷ 9 (c) p − 9 (d) 9p
9. 9.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
10. 10.Solve: 3y = 24. What is y?
11. 11.Find the value of 3y + 6 when y = 11.
12. 12.Find the value of 4t + 4 when t = 8.
13. 13.Find the value of 4x + 5 when x = 2.
14. 14.Kabir has n pencils. A friend has 9 times as many. Which expression shows how many pencils the friend has? (a) n + 9 (b) n − 9 (c) n ÷ 9 (d) 9n
15. 15.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 18 letters?
16. 16.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
17. 17.Find the value of 4n + 4 when n = 9.
18. 18.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
19. 19.Find the value of 6p + 19 when p = 2.
20. 20.Gurpreet has k flowers. A friend has 2 fewer. Which expression shows how many flowers the friend has? (a) 2k (b) k ÷ 2 (c) k − 2 (d) k + 2
21. 21.Pooja has m balls. A friend has 9 times as many. Which expression shows how many balls the friend has? (a) m + 9 (b) 9m (c) m ÷ 9 (d) m − 9
22. 22.Find the value of 6a + 4b when a = 7 and b = 3.
23. 23.Find the value of 4p − 5 when p = 9.
24. 24.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 6 letters?
25. 25.Ananya has k balls. A friend has 3 more. Which expression shows how many balls the friend has? (a) k − 3 (b) k ÷ 3 (c) k + 3 (d) 3k
26. 26.Solve: m − 7 = 15. What is m?
27. 27.Solve: 7m = 133. What is m?
28. 28.Vivaan has n kites. A friend has 3 more. Which expression shows how many kites the friend has? (a) n − 3 (b) n ÷ 3 (c) 3n (d) n + 3
29. 29.Solve: x + 6 = 8. What is x?
30. 30.Find the value of 4n − 1 when n = 1.
31. 31.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
32. 32.Solve: m + 4 = 11. What is m?
33. 33.Kavya has p pencils. A friend has 6 fewer. Which expression shows how many pencils the friend has? (a) p ÷ 6 (b) p − 6 (c) p + 6 (d) 6p
34. 34.Find the value of 2a + 4b when a = 4 and b = 8.
35. 35.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
36. 36.Find the value of 5t + 14 when t = 7.
37. 37.Manav has m bananas. A friend has 3 more. Which expression shows how many bananas the friend has? (a) m − 3 (b) 3m (c) m ÷ 3 (d) m + 3
38. 38.Find the value of 5n − 3 when n = 7.
39. 39.Solve: m + 7 = 18. What is m?
40. 40.Solve: x + 5 = 6. What is x?

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