Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 178 · 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.Rohan shares m books equally among 2 friends. Which expression shows how many books each friend gets? (a) m + 2 (b) m ÷ 2 (c) m − 2 (d) 2m
2. 2.Find the value of 4m + 13 when m = 8.
3. 3.Solve: y + 3 = 5. What is y?
4. 4.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
5. 5.Find the value of 8a + 2b when a = 4 and b = 5.
6. 6.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 5 letters?
7. 7.Find the value of 2y + 2 when y = 12.
8. 8.Find the value of 4t + 17 when t = 6.
9. 9.Solve: n ÷ 2 = 17. What is n?
10. 10.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
11. 11.Isha 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
12. 12.Find the value of 7a + 3b when a = 2 and b = 3.
13. 13.Solve: p − 4 = 4. What is p?
14. 14.Find the value of 8t + 6 when t = 4.
15. 15.Sneha shares m mangoes equally among 3 friends. Which expression shows how many mangoes each friend gets? (a) m + 3 (b) m ÷ 3 (c) 3m (d) m − 3
16. 16.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 19 letters?
17. 17.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
18. 18.Find the value of 9m − 22 when m = 6.
19. 19.Saanvi has m bananas. A friend has 9 fewer. Which expression shows how many bananas the friend has? (a) m + 9 (b) 9m (c) m ÷ 9 (d) m − 9
20. 20.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
21. 21.Solve: y + 3 = 9. What is y?
22. 22.Priya has k shells. A friend has 5 times as many. Which expression shows how many shells the friend has? (a) 5k (b) k ÷ 5 (c) k + 5 (d) k − 5
23. 23.Find the value of 5a + 3b when a = 1 and b = 9.
24. 24.Dev has p balloons. A friend has 8 times as many. Which expression shows how many balloons the friend has? (a) 8p (b) p − 8 (c) p ÷ 8 (d) p + 8
25. 25.Sneha shares n shells equally among 7 friends. Which expression shows how many shells each friend gets? (a) n ÷ 7 (b) 7n (c) n + 7 (d) n − 7
26. 26.Find the value of 7a + 3b when a = 10 and b = 5.
27. 27.Find the value of 6p + 8 when p = 12.
28. 28.Vivaan has p crayons. A friend has 8 fewer. Which expression shows how many crayons the friend has? (a) 8p (b) p + 8 (c) p ÷ 8 (d) p − 8
29. 29.Find the value of 6y + 4 when y = 6.
30. 30.Find the value of 4p − 4 when p = 9.
31. 31.Find the value of 7n + 11 when n = 8.
32. 32.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
33. 33.Solve: m − 12 = 13. What is m?
34. 34.Solve: x ÷ 7 = 13. What is x?
35. 35.Find the value of 8a + 8b when a = 8 and b = 6.
36. 36.Solve: 2n = 32. What is n?
37. 37.Solve: 10x = 70. What is x?
38. 38.Solve: t ÷ 8 = 4. What is t?
39. 39.Find the value of 4a + 2b when a = 8 and b = 10.
40. 40.Find the value of 9p + 5 when p = 8.

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