Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 548 · 40 sums

The method (Letters one side, numbers the other): Open brackets: a(x − b) = ax − ab. Fractions: multiply both sides by the LCM of the denominators — x/3 + x/4 = 14 → 4x + 3x = 168. Move letter terms to one side and numbers to the other (change the sign when a term crosses =), then divide. Word problems: consecutive numbers are n, n + 1, n + 2 …; ages in y years are age + y.

1. 1.Solve: 8t + 11 = 6t + 27. What is t?
2. 2.Solve: 3(y − 5) = y + 11. What is y?
3. 3.Solve: 4(p − 3) = 2p + 6. What is p?
4. 4.The length of a rectangle is 2 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
5. 5.Solve: 5(t − 1) = 4t + 4. What is t?
6. 6.Solve: 5(x − 4) = 3x + 18. What is x?
7. 7.Solve: 5p + 17 = 3p + 35. What is p?
8. 8.The sum of four consecutive whole numbers is 122. What is the largest of them?
9. 9.Solve: x/3 + x/6 = 9. What is x?
10. 10.Solve: m/5 + m/4 = 36. What is m?
11. 11.The length of a rectangle is 4 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
12. 12.Solve: 6y + 1 = 2y + 61. What is y?
13. 13.Solve: 7n + 11 = 2n + 41. What is n?
14. 14.A father is 22 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
15. 15.Solve: n/5 + n/2 = 35. What is n?
16. 16.The length of a rectangle is 11 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
17. 17.Solve: 9t + 2 = 8t + 3. What is t?
18. 18.A father is 14 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
19. 19.The sum of two consecutive whole numbers is 19. What is the largest of them?
20. 20.A father is 6 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
21. 21.The length of a rectangle is 3 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
22. 22.The length of a rectangle is 2 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
23. 23.A father is 22 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
24. 24.Solve: 8t + 5 = 6t + 33. What is t?
25. 25.Solve: n/3 + n/2 = 20. What is n?
26. 26.A father is 5 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
27. 27.A father is 10 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
28. 28.The length of a rectangle is 12 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
29. 29.The sum of two consecutive whole numbers is 15. What is the smallest of them?
30. 30.Solve: 3(t − 3) = t + 5. What is t?
31. 31.The length of a rectangle is 11 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
32. 32.Solve: 7y + 18 = 3y + 54. What is y?
33. 33.Solve: 9y + 5 = 6y + 35. What is y?
34. 34.Solve: 4n + 1 = 3n + 7. What is n?
35. 35.Solve: p/5 + p/2 = 35. What is p?
36. 36.A father is 39 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
37. 37.The sum of three consecutive whole numbers is 123. What is the largest of them?
38. 38.The sum of three consecutive whole numbers is 177. What is the smallest of them?
39. 39.The sum of four consecutive whole numbers is 74. What is the smallest of them?
40. 40.Solve: 4t + 14 = 3t + 28. What is t?

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