Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 575 · 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 + 2b when a = 4 and b = 8.
2. 2.Find the value of 3x − 29 when x = 12.
3. 3.Find the value of 4a + 5b when a = 3 and b = 6.
4. 4.Find the value of 4m − 8 when m = 8.
5. 5.Solve: p − 2 = 15. What is p?
6. 6.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
7. 7.Ishaan shares k mangoes equally among 6 friends. Which expression shows how many mangoes each friend gets? (a) k ÷ 6 (b) 6k (c) k + 6 (d) k − 6
8. 8.Aditya has k mangoes. A friend has 4 more. Which expression shows how many mangoes the friend has? (a) 4k (b) k − 4 (c) k ÷ 4 (d) k + 4
9. 9.Karan has m books. A friend has 7 more. Which expression shows how many books the friend has? (a) m − 7 (b) m + 7 (c) 7m (d) m ÷ 7
10. 10.Solve: x ÷ 7 = 1. What is x?
11. 11.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
12. 12.Find the value of 4x − 2 when x = 2.
13. 13.Solve: m + 3 = 5. What is m?
14. 14.Kabir shares k bananas equally among 4 friends. Which expression shows how many bananas each friend gets? (a) k ÷ 4 (b) k − 4 (c) k + 4 (d) 4k
15. 15.Saanvi has p balls. A friend has 7 more. Which expression shows how many balls the friend has? (a) 7p (b) p + 7 (c) p − 7 (d) p ÷ 7
16. 16.Find the value of 4a + 3b when a = 10 and b = 9.
17. 17.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
18. 18.Find the value of 4y − 4 when y = 2.
19. 19.Kabir shares k flowers equally among 2 friends. Which expression shows how many flowers each friend gets? (a) k − 2 (b) 2k (c) k + 2 (d) k ÷ 2
20. 20.Meera shares m crayons equally among 7 friends. Which expression shows how many crayons each friend gets? (a) 7m (b) m + 7 (c) m ÷ 7 (d) m − 7
21. 21.Find the value of 2x + 13 when x = 7.
22. 22.Find the value of 4a + 2b when a = 7 and b = 5.
23. 23.Find the value of 7y − 5 when y = 3.
24. 24.Solve: y + 5 = 9. What is y?
25. 25.Find the value of 3a + 5b when a = 5 and b = 6.
26. 26.Solve: p + 12 = 25. What is p?
27. 27.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 27 letters?
28. 28.Find the value of 3a + 9b when a = 6 and b = 1.
29. 29.Find the value of 8a + 6b when a = 10 and b = 5.
30. 30.Solve: y ÷ 3 = 5. What is y?
31. 31.Find the value of 2a + 2b when a = 3 and b = 6.
32. 32.Riya has n mangoes. A friend has 4 times as many. Which expression shows how many mangoes the friend has? (a) n ÷ 4 (b) n + 4 (c) n − 4 (d) 4n
33. 33.Rahul has n marbles. A friend has 8 more. Which expression shows how many marbles the friend has? (a) n − 8 (b) n + 8 (c) n ÷ 8 (d) 8n
34. 34.Solve: p − 3 = 8. What is p?
35. 35.Solve: 4x = 8. What is x?
36. 36.Find the value of 4x − 3 when x = 9.
37. 37.Dev has m books. A friend has 5 fewer. Which expression shows how many books the friend has? (a) 5m (b) m + 5 (c) m − 5 (d) m ÷ 5
38. 38.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 7 letters?
39. 39.Find the value of 4m − 9 when m = 8.
40. 40.Find the value of 6y − 10 when y = 2.

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