Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 290 · 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.Lakshmi shares n bananas equally among 4 friends. Which expression shows how many bananas each friend gets? (a) n + 4 (b) n − 4 (c) 4n (d) n ÷ 4
2. 2.Find the value of 9t + 12 when t = 11.
3. 3.Tara has m balloons. A friend has 3 more. Which expression shows how many balloons the friend has? (a) m − 3 (b) m + 3 (c) m ÷ 3 (d) 3m
4. 4.Find the value of 9x + 15 when x = 2.
5. 5.Find the value of 9t − 80 when t = 12.
6. 6.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 9 letters?
7. 7.Arjun has k pencils. A friend has 3 more. Which expression shows how many pencils the friend has? (a) k − 3 (b) 3k (c) k + 3 (d) k ÷ 3
8. 8.Solve: t ÷ 5 = 6. What is t?
9. 9.Find the value of 6x + 7 when x = 3.
10. 10.Solve: y ÷ 5 = 4. What is y?
11. 11.Rohan has n balls. A friend has 4 times as many. Which expression shows how many balls the friend has? (a) n + 4 (b) n − 4 (c) 4n (d) n ÷ 4
12. 12.Find the value of 7a + 4b when a = 6 and b = 1.
13. 13.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 25 letters?
14. 14.Solve: p + 8 = 26. What is p?
15. 15.Find the value of 3x − 1 when x = 1.
16. 16.Each matchstick letter L needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 12 letters?
17. 17.Find the value of 2a + 4b when a = 8 and b = 7.
18. 18.Kabir has n kites. A friend has 8 fewer. Which expression shows how many kites the friend has? (a) n + 8 (b) 8n (c) n ÷ 8 (d) n − 8
19. 19.Find the value of 8t + 20 when t = 10.
20. 20.Farhan has m laddoos. A friend has 4 times as many. Which expression shows how many laddoos the friend has? (a) 4m (b) m ÷ 4 (c) m + 4 (d) m − 4
21. 21.Find the value of 6a + 6b when a = 1 and b = 3.
22. 22.Find the value of 7a + 6b when a = 8 and b = 4.
23. 23.Solve: 10t = 50. What is t?
24. 24.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 9 letters?
25. 25.Find the value of 3y − 2 when y = 1.
26. 26.Find the value of 5a + 7b when a = 6 and b = 10.
27. 27.Find the value of 3a + 8b when a = 6 and b = 7.
28. 28.Find the value of 5p − 7 when p = 6.
29. 29.Find the value of 5p − 34 when p = 9.
30. 30.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 28 letters?
31. 31.Find the value of 8t − 26 when t = 4.
32. 32.Solve: 12y = 24. What is y?
33. 33.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 21 letters?
34. 34.Find the value of 7t − 26 when t = 5.
35. 35.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 10 letters?
36. 36.Find the value of 7p + 18 when p = 5.
37. 37.Riya has m mangoes. A friend has 6 fewer. Which expression shows how many mangoes the friend has? (a) m ÷ 6 (b) m − 6 (c) m + 6 (d) 6m
38. 38.Solve: p ÷ 3 = 4. What is p?
39. 39.Find the value of 7x − 2 when x = 9.
40. 40.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 13 letters?

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