Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 104 · 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 3m + 17 when m = 2.
2. 2.Solve: t + 3 = 12. What is t?
3. 3.Aditya has k balloons. A friend has 3 fewer. Which expression shows how many balloons the friend has? (a) k + 3 (b) k − 3 (c) 3k (d) k ÷ 3
4. 4.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 30 letters?
5. 5.Find the value of 5m − 4 when m = 1.
6. 6.Find the value of 3a + 9b when a = 1 and b = 6.
7. 7.Find the value of 2a + 2b when a = 9 and b = 6.
8. 8.Solve: t + 12 = 27. What is t?
9. 9.Pooja has p crayons. A friend has 9 more. Which expression shows how many crayons the friend has? (a) p ÷ 9 (b) p − 9 (c) 9p (d) p + 9
10. 10.Find the value of 8a + 3b when a = 2 and b = 1.
11. 11.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
12. 12.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 18 letters?
13. 13.Solve: y + 7 = 17. What is y?
14. 14.Find the value of 5a + 3b when a = 2 and b = 2.
15. 15.Farhan has n balls. A friend has 8 more. Which expression shows how many balls the friend has? (a) n ÷ 8 (b) n + 8 (c) n − 8 (d) 8n
16. 16.Solve: t − 2 = 3. What is t?
17. 17.Find the value of 7x + 18 when x = 9.
18. 18.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 19 letters?
19. 19.Solve: m − 3 = 4. What is m?
20. 20.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
21. 21.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?
22. 22.Vivaan has n crayons. A friend has 4 times as many. Which expression shows how many crayons the friend has? (a) n + 4 (b) n ÷ 4 (c) 4n (d) n − 4
23. 23.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
24. 24.Sneha has k balls. A friend has 5 fewer. Which expression shows how many balls the friend has? (a) k − 5 (b) k ÷ 5 (c) 5k (d) k + 5
25. 25.Find the value of 3a + 9b when a = 1 and b = 4.
26. 26.Dev has p marbles. A friend has 9 more. Which expression shows how many marbles the friend has? (a) p ÷ 9 (b) p − 9 (c) 9p (d) p + 9
27. 27.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
28. 28.Solve: x + 8 = 23. What is x?
29. 29.Solve: p + 6 = 7. What is p?
30. 30.Rohan has k mangoes. A friend has 5 more. Which expression shows how many mangoes the friend has? (a) k − 5 (b) k ÷ 5 (c) 5k (d) k + 5
31. 31.Solve: t + 6 = 10. What is t?
32. 32.Solve: t + 7 = 8. What is t?
33. 33.Find the value of 2x − 4 when x = 4.
34. 34.Find the value of 4a + 9b when a = 3 and b = 4.
35. 35.Sneha has n crayons. A friend has 4 times as many. Which expression shows how many crayons the friend has? (a) 4n (b) n − 4 (c) n ÷ 4 (d) n + 4
36. 36.Find the value of 7a + 2b when a = 10 and b = 1.
37. 37.Find the value of 6m + 12 when m = 9.
38. 38.Rohan has k mangoes. A friend has 6 fewer. Which expression shows how many mangoes the friend has? (a) k + 6 (b) k − 6 (c) k ÷ 6 (d) 6k
39. 39.Find the value of 9n − 18 when n = 8.
40. 40.Solve: p − 6 = 19. What is p?

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