Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 97 · 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 2a + 8b when a = 7 and b = 1.
2. 2.Find the value of 4t + 19 when t = 1.
3. 3.Find the value of 2y + 10 when y = 8.
4. 4.Find the value of 5y − 19 when y = 9.
5. 5.Find the value of 8a + 6b when a = 10 and b = 7.
6. 6.Find the value of 2a + 3b when a = 8 and b = 3.
7. 7.Solve: x + 12 = 18. What is x?
8. 8.Find the value of 6m + 16 when m = 8.
9. 9.Solve: m ÷ 4 = 14. What is m?
10. 10.Find the value of 7a + 9b when a = 9 and b = 6.
11. 11.Solve: p ÷ 9 = 1. What is p?
12. 12.Arjun shares m books equally among 6 friends. Which expression shows how many books each friend gets? (a) 6m (b) m + 6 (c) m ÷ 6 (d) m − 6
13. 13.Solve: p ÷ 2 = 17. What is p?
14. 14.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 16 letters?
15. 15.Each matchstick letter C needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 22 letters?
16. 16.Solve: y + 6 = 21. What is y?
17. 17.Kabir has p balloons. A friend has 2 fewer. Which expression shows how many balloons the friend has? (a) p − 2 (b) p ÷ 2 (c) 2p (d) p + 2
18. 18.Find the value of 7a + 7b when a = 6 and b = 1.
19. 19.Solve: m + 7 = 18. What is m?
20. 20.Solve: 9x = 81. What is x?
21. 21.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 9 letters?
22. 22.Find the value of 4a + 3b when a = 2 and b = 3.
23. 23.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 5 letters?
24. 24.Solve: x + 8 = 17. What is x?
25. 25.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 20 letters?
26. 26.Each matchstick letter E needs 4 sticks, so n letters need 4n sticks. How many sticks are needed for 28 letters?
27. 27.Find the value of 9p − 20 when p = 3.
28. 28.Find the value of 4a + 2b when a = 4 and b = 3.
29. 29.Find the value of 8a + 3b when a = 8 and b = 5.
30. 30.Arjun has n marbles. A friend has 9 more. Which expression shows how many marbles the friend has? (a) n − 9 (b) 9n (c) n + 9 (d) n ÷ 9
31. 31.Find the value of 5a + 8b when a = 3 and b = 8.
32. 32.Find the value of 6t + 10 when t = 9.
33. 33.Find the value of 7y + 2 when y = 4.
34. 34.Karan has m bananas. A friend has 5 more. Which expression shows how many bananas the friend has? (a) m − 5 (b) 5m (c) m ÷ 5 (d) m + 5
35. 35.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 10 letters?
36. 36.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 28 letters?
37. 37.Saanvi has m marbles. A friend has 9 fewer. Which expression shows how many marbles the friend has? (a) m + 9 (b) 9m (c) m ÷ 9 (d) m − 9
38. 38.Find the value of 2a + 7b when a = 3 and b = 5.
39. 39.Ishaan has n bananas. A friend has 7 fewer. Which expression shows how many bananas the friend has? (a) 7n (b) n − 7 (c) n + 7 (d) n ÷ 7
40. 40.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 28 letters?

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