Class 6 Maths Worksheet: Algebra

Maths worksheets lesson 44: Algebra: expressions and simple equations · Set 359 · 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 6m − 10 when m = 5.
2. 2.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
3. 3.Aarav has p books. A friend has 9 more. Which expression shows how many books the friend has? (a) p ÷ 9 (b) p − 9 (c) p + 9 (d) 9p
4. 4.Find the value of 3y − 1 when y = 1.
5. 5.Find the value of 8p + 12 when p = 7.
6. 6.Solve: x + 4 = 8. What is x?
7. 7.Each matchstick letter H needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 29 letters?
8. 8.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 22 letters?
9. 9.Solve: p − 4 = 12. What is p?
10. 10.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 29 letters?
11. 11.Find the value of 2a + 2b when a = 9 and b = 4.
12. 12.Solve: t ÷ 2 = 2. What is t?
13. 13.Each matchstick letter F needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 7 letters?
14. 14.Solve: 2x = 12. What is x?
15. 15.Manav shares m crayons equally among 6 friends. Which expression shows how many crayons each friend gets? (a) 6m (b) m + 6 (c) m − 6 (d) m ÷ 6
16. 16.Find the value of 6y − 14 when y = 9.
17. 17.Find the value of 8x − 22 when x = 3.
18. 18.Find the value of 6m + 5 when m = 7.
19. 19.Each matchstick letter V needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 17 letters?
20. 20.Each matchstick letter T needs 2 sticks, so n letters need 2n sticks. How many sticks are needed for 11 letters?
21. 21.Lakshmi has n balloons. A friend has 3 more. Which expression shows how many balloons the friend has? (a) n − 3 (b) n + 3 (c) 3n (d) n ÷ 3
22. 22.Find the value of 3a + 4b when a = 3 and b = 9.
23. 23.Solve: 9t = 117. What is t?
24. 24.Ananya has n pencils. A friend has 7 fewer. Which expression shows how many pencils the friend has? (a) n ÷ 7 (b) 7n (c) n + 7 (d) n − 7
25. 25.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 12 letters?
26. 26.Aarav shares n flowers equally among 7 friends. Which expression shows how many flowers each friend gets? (a) n − 7 (b) 7n (c) n + 7 (d) n ÷ 7
27. 27.Each matchstick letter U needs 3 sticks, so n letters need 3n sticks. How many sticks are needed for 8 letters?
28. 28.Solve: m − 2 = 3. What is m?
29. 29.Find the value of 4t + 18 when t = 3.
30. 30.Find the value of 3x − 1 when x = 6.
31. 31.Lakshmi has p bananas. A friend has 7 more. Which expression shows how many bananas the friend has? (a) p − 7 (b) 7p (c) p ÷ 7 (d) p + 7
32. 32.Find the value of 5y − 6 when y = 2.
33. 33.Solve: y − 12 = 13. What is y?
34. 34.Find the value of 4a + 9b when a = 9 and b = 2.
35. 35.Solve: p + 4 = 24. What is p?
36. 36.Find the value of 2y − 9 when y = 9.
37. 37.Find the value of 6y − 8 when y = 5.
38. 38.Karan has n balloons. A friend has 3 times as many. Which expression shows how many balloons the friend has? (a) 3n (b) n − 3 (c) n + 3 (d) n ÷ 3
39. 39.Find the value of 2a + 9b when a = 5 and b = 8.
40. 40.Find the value of 6t + 19 when t = 12.

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