Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 205 · 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: 5(t − 5) = 2t + 8. What is t?
2. 2.The length of a rectangle is 12 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
3. 3.Solve: t/6 + t/4 = 5. What is t?
4. 4.A father is 33 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
5. 5.Solve: 3n + 19 = n + 29. What is n?
6. 6.Solve: y/2 + y/3 = 20. What is y?
7. 7.The length of a rectangle is 9 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
8. 8.Solve: 3(p − 1) = p + 3. What is p?
9. 9.A father is 42 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
10. 10.The sum of three consecutive whole numbers is 93. What is the smallest of them?
11. 11.A father is 33 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?
12. 12.The length of a rectangle is 11 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
13. 13.Solve: 8y + 8 = 3y + 63. What is y?
14. 14.Solve: 4m + 5 = 3m + 18. What is m?
15. 15.A father is 18 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
16. 16.The length of a rectangle is 3 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
17. 17.Solve: 7t + 18 = 2t + 63. What is t?
18. 18.The length of a rectangle is 5 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
19. 19.Solve: 8x + 20 = 3x + 30. What is x?
20. 20.A father is 26 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
21. 21.A father is 33 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
22. 22.A father is 13 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
23. 23.Solve: p/5 + p/4 = 63. What is p?
24. 24.The sum of three consecutive whole numbers is 96. What is the smallest of them?
25. 25.A father is 28 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
26. 26.The sum of four consecutive whole numbers is 66. What is the largest of them?
27. 27.Solve: t/3 + t/5 = 16. What is t?
28. 28.A father is 24 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
29. 29.Solve: 4y + 2 = y + 41. What is y?
30. 30.Solve: 4(n − 5) = n + 4. What is n?
31. 31.Solve: p/6 + p/2 = 20. What is p?
32. 32.The length of a rectangle is 8 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
33. 33.A father is 15 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?
34. 34.The sum of four consecutive whole numbers is 126. What is the largest of them?
35. 35.Solve: 3(x − 4) = x + 12. What is x?
36. 36.The length of a rectangle is 3 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
37. 37.The length of a rectangle is 11 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
38. 38.Solve: 3n + 2 = n + 20. What is n?
39. 39.The sum of three consecutive whole numbers is 48. What is the largest of them?
40. 40.Solve: t/5 + t/2 = 14. What is t?

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