Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 356 · 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 9a + 7b when a = 7 and b = 3.
2. 2.Farhan shares m books equally among 8 friends. Which expression shows how many books each friend gets? (a) m ÷ 8 (b) 8m (c) m + 8 (d) m − 8
3. 3.Find the value of 6p − 4 when p = 10.
4. 4.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 8 letters?
5. 5.Solve: x ÷ 6 = 12. What is x?
6. 6.Find the value of 8a + 8b when a = 7 and b = 4.
7. 7.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
8. 8.Riya has k bananas. A friend has 8 more. Which expression shows how many bananas the friend has? (a) 8k (b) k − 8 (c) k + 8 (d) k ÷ 8
9. 9.Joseph has m shells. A friend has 4 fewer. Which expression shows how many shells the friend has? (a) m − 4 (b) m + 4 (c) 4m (d) m ÷ 4
10. 10.Find the value of 2a + 7b when a = 8 and b = 5.
11. 11.Karan has k flowers. A friend has 7 times as many. Which expression shows how many flowers the friend has? (a) k ÷ 7 (b) k − 7 (c) 7k (d) k + 7
12. 12.Find the value of 6p + 19 when p = 6.
13. 13.Solve: y − 9 = 10. What is y?
14. 14.Find the value of 8m + 13 when m = 6.
15. 15.Find the value of 6t + 20 when t = 4.
16. 16.Solve: p + 12 = 23. What is p?
17. 17.Joseph has p shells. A friend has 7 times as many. Which expression shows how many shells the friend has? (a) p + 7 (b) p − 7 (c) p ÷ 7 (d) 7p
18. 18.Find the value of 5m + 8 when m = 6.
19. 19.Dev has k balls. A friend has 7 times as many. Which expression shows how many balls the friend has? (a) k + 7 (b) k ÷ 7 (c) 7k (d) k − 7
20. 20.Find the value of 9y + 2 when y = 7.
21. 21.Find the value of 3a + 2b when a = 5 and b = 4.
22. 22.Find the value of 9x + 12 when x = 4.
23. 23.Solve: m + 5 = 14. What is m?
24. 24.Lakshmi has p bananas. A friend has 3 fewer. Which expression shows how many bananas the friend has? (a) p + 3 (b) p − 3 (c) 3p (d) p ÷ 3
25. 25.Solve: m ÷ 2 = 8. What is m?
26. 26.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 13 letters?
27. 27.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 6 letters?
28. 28.Find the value of 6x + 4 when x = 5.
29. 29.Rohan has m crayons. A friend has 5 fewer. Which expression shows how many crayons the friend has? (a) m ÷ 5 (b) 5m (c) m + 5 (d) m − 5
30. 30.Isha has m balloons. A friend has 6 times as many. Which expression shows how many balloons the friend has? (a) 6m (b) m + 6 (c) m ÷ 6 (d) m − 6
31. 31.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
32. 32.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
33. 33.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 23 letters?
34. 34.Find the value of 7m + 14 when m = 4.
35. 35.Solve: y − 12 = 4. What is y?
36. 36.Find the value of 9a + 8b when a = 4 and b = 8.
37. 37.Solve: m − 8 = 14. What is m?
38. 38.Joseph shares k crayons equally among 9 friends. Which expression shows how many crayons each friend gets? (a) k + 9 (b) k ÷ 9 (c) k − 9 (d) 9k
39. 39.Find the value of 3m + 8 when m = 9.
40. 40.Solve: t + 7 = 16. What is t?

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