Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 884 · 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.A father is 18 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
2. 2.Solve: 3p + 6 = p + 24. What is p?
3. 3.A father is 10 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
4. 4.The length of a rectangle is 3 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
5. 5.Solve: 6y + 4 = 2y + 12. What is y?
6. 6.Solve: 9y + 3 = 5y + 35. What is y?
7. 7.The sum of three consecutive whole numbers is 111. What is the largest of them?
8. 8.The length of a rectangle is 3 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
9. 9.Solve: 9p + 7 = p + 63. What is p?
10. 10.Solve: 6m + 15 = 4m + 45. What is m?
11. 11.Solve: p/4 + p/2 = 15. What is p?
12. 12.The sum of two consecutive whole numbers is 79. What is the largest of them?
13. 13.The sum of two consecutive whole numbers is 33. What is the largest of them?
14. 14.The sum of three consecutive whole numbers is 183. What is the largest of them?
15. 15.Solve: 5n + 6 = 4n + 8. What is n?
16. 16.The length of a rectangle is 14 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
17. 17.The length of a rectangle is 2 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
18. 18.The length of a rectangle is 2 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
19. 19.Solve: 6(x − 3) = 3x + 27. What is x?
20. 20.Solve: 3y + 18 = y + 32. What is y?
21. 21.Solve: t/6 + t/4 = 35. What is t?
22. 22.The sum of two consecutive whole numbers is 49. What is the smallest of them?
23. 23.Solve: 3(p − 5) = 2p + 11. What is p?
24. 24.Solve: n/6 + n/4 = 20. What is n?
25. 25.The length of a rectangle is 7 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
26. 26.Solve: t/3 + t/4 = 21. What is t?
27. 27.Solve: x/2 + x/3 = 40. What is x?
28. 28.A father is 19 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
29. 29.Solve: 9x + 15 = x + 135. What is x?
30. 30.The length of a rectangle is 13 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
31. 31.Solve: m/6 + m/5 = 66. What is m?
32. 32.The length of a rectangle is 4 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
33. 33.A father is 39 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?
34. 34.The sum of four consecutive whole numbers is 182. What is the largest of them?
35. 35.Solve: 5y + 6 = 4y + 17. What is y?
36. 36.Solve: 4(y − 5) = y + 10. What is y?
37. 37.A father is 16 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
38. 38.Solve: 5(m − 4) = m + 32. What is m?
39. 39.A father is 20 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?
40. 40.Solve: 7m + 20 = m + 80. What is m?

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