Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 133 · 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.Solve: t − 11 = 3. What is t?
2. 2.Ananya has m kites. A friend has 8 more. Which expression shows how many kites the friend has? (a) 8m (b) m − 8 (c) m + 8 (d) m ÷ 8
3. 3.Solve: x ÷ 12 = 4. What is x?
4. 4.Farhan has p marbles. A friend has 6 fewer. Which expression shows how many marbles the friend has? (a) p − 6 (b) p ÷ 6 (c) 6p (d) p + 6
5. 5.Solve: 4n = 80. What is n?
6. 6.Solve: x ÷ 6 = 19. What is x?
7. 7.Solve: m + 7 = 27. What is m?
8. 8.Find the value of 9a + 7b when a = 4 and b = 7.
9. 9.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 24 letters?
10. 10.Find the value of 2t − 7 when t = 4.
11. 11.Ishaan has m shells. A friend has 5 times as many. Which expression shows how many shells the friend has? (a) m − 5 (b) m + 5 (c) 5m (d) m ÷ 5
12. 12.Diya has n marbles. A friend has 2 times as many. Which expression shows how many marbles the friend has? (a) n + 2 (b) n ÷ 2 (c) n − 2 (d) 2n
13. 13.Solve: y + 7 = 23. What is y?
14. 14.Find the value of 6x − 13 when x = 8.
15. 15.Solve: 2t = 2. What is t?
16. 16.Ishaan has m balls. A friend has 4 more. Which expression shows how many balls the friend has? (a) m + 4 (b) m − 4 (c) 4m (d) m ÷ 4
17. 17.Find the value of 3a + 3b when a = 9 and b = 2.
18. 18.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 14 letters?
19. 19.Isha shares m bananas equally among 8 friends. Which expression shows how many bananas each friend gets? (a) 8m (b) m ÷ 8 (c) m + 8 (d) m − 8
20. 20.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 18 letters?
21. 21.Solve: y − 9 = 15. What is y?
22. 22.Solve: n ÷ 11 = 13. What is n?
23. 23.Find the value of 4m + 5 when m = 10.
24. 24.Tara has k pencils. A friend has 3 more. Which expression shows how many pencils the friend has? (a) k − 3 (b) k ÷ 3 (c) k + 3 (d) 3k
25. 25.Sneha has n kites. A friend has 9 more. Which expression shows how many kites the friend has? (a) 9n (b) n − 9 (c) n ÷ 9 (d) n + 9
26. 26.Kavya has p mangoes. A friend has 7 times as many. Which expression shows how many mangoes the friend has? (a) 7p (b) p − 7 (c) p + 7 (d) p ÷ 7
27. 27.Find the value of 3p + 8 when p = 2.
28. 28.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
29. 29.Solve: m + 5 = 16. What is m?
30. 30.Find the value of 7a + 8b when a = 4 and b = 10.
31. 31.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
32. 32.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
33. 33.Solve: y ÷ 5 = 19. What is y?
34. 34.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
35. 35.Find the value of 2a + 6b when a = 5 and b = 4.
36. 36.Find the value of 5p + 20 when p = 12.
37. 37.Find the value of 4n + 5 when n = 8.
38. 38.Find the value of 9x − 9 when x = 2.
39. 39.Find the value of 6a + 3b when a = 8 and b = 2.
40. 40.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 17 letters?

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