Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 114 · 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.Kabir shares n balloons equally among 9 friends. Which expression shows how many balloons each friend gets? (a) n ÷ 9 (b) n + 9 (c) n − 9 (d) 9n
2. 2.Find the value of 3y − 8 when y = 3.
3. 3.Solve: m ÷ 6 = 13. What is m?
4. 4.Find the value of 7a + 3b when a = 5 and b = 5.
5. 5.Find the value of 9t − 62 when t = 9.
6. 6.Vivaan has p flowers. A friend has 8 fewer. Which expression shows how many flowers the friend has? (a) p + 8 (b) p − 8 (c) 8p (d) p ÷ 8
7. 7.Find the value of 3m − 1 when m = 1.
8. 8.Manav shares p bananas equally among 3 friends. Which expression shows how many bananas each friend gets? (a) p ÷ 3 (b) p − 3 (c) 3p (d) p + 3
9. 9.Find the value of 7a + 7b when a = 4 and b = 3.
10. 10.Find the value of 5a + 5b when a = 4 and b = 4.
11. 11.Find the value of 2a + 3b when a = 7 and b = 4.
12. 12.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 14 letters?
13. 13.Solve: y − 2 = 12. What is y?
14. 14.Solve: x − 11 = 19. What is x?
15. 15.Arjun has m shells. A friend has 6 more. Which expression shows how many shells the friend has? (a) 6m (b) m + 6 (c) m − 6 (d) m ÷ 6
16. 16.Find the value of 2x + 7 when x = 12.
17. 17.Find the value of 3a + 7b when a = 9 and b = 9.
18. 18.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
19. 19.Find the value of 4a + 5b when a = 3 and b = 7.
20. 20.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 15 letters?
21. 21.Find the value of 5p + 10 when p = 8.
22. 22.Find the value of 7a + 6b when a = 1 and b = 10.
23. 23.Find the value of 2n − 2 when n = 3.
24. 24.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 27 letters?
25. 25.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
26. 26.Solve: x + 5 = 22. What is x?
27. 27.Find the value of 2y − 8 when y = 10.
28. 28.Find the value of 6x − 45 when x = 10.
29. 29.Find the value of 4a + 6b when a = 6 and b = 2.
30. 30.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
31. 31.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
32. 32.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 30 letters?
33. 33.Find the value of 3a + 9b when a = 9 and b = 3.
34. 34.Manav has n laddoos. A friend has 3 fewer. Which expression shows how many laddoos the friend has? (a) n ÷ 3 (b) n + 3 (c) n − 3 (d) 3n
35. 35.Rahul has p mangoes. A friend has 3 more. Which expression shows how many mangoes the friend has? (a) p − 3 (b) 3p (c) p ÷ 3 (d) p + 3
36. 36.Find the value of 4p + 9 when p = 9.
37. 37.Joseph has m balls. A friend has 6 times as many. Which expression shows how many balls the friend has? (a) m + 6 (b) m − 6 (c) 6m (d) m ÷ 6
38. 38.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
39. 39.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 30 letters?
40. 40.Solve: y − 4 = 10. What is y?

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