Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 711 · 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.The length of a rectangle is 6 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
2. 2.Solve: m/2 + m/6 = 32. What is m?
3. 3.A father is 9 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
4. 4.Solve: 3(y − 3) = 2y + 9. What is y?
5. 5.A father is 42 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?
6. 6.The sum of two consecutive whole numbers is 35. What is the largest of them?
7. 7.Solve: 4n + 18 = 2n + 36. What is n?
8. 8.The length of a rectangle is 14 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
9. 9.Solve: 8y + 18 = 3y + 93. What is y?
10. 10.The sum of four consecutive whole numbers is 46. What is the largest of them?
11. 11.The length of a rectangle is 14 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
12. 12.Solve: 3(x − 4) = 2x + 11. What is x?
13. 13.A father is 11 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
14. 14.The length of a rectangle is 11 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
15. 15.Solve: 5y + 6 = 2y + 21. What is y?
16. 16.A father is 24 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
17. 17.A father is 10 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
18. 18.Solve: 5p + 9 = p + 69. What is p?
19. 19.Solve: t/2 + t/6 = 4. What is t?
20. 20.Solve: 5(y − 3) = 2y + 36. What is y?
21. 21.Solve: 5(y − 4) = y + 8. What is y?
22. 22.A father is 13 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
23. 23.Solve: 3x + 7 = 2x + 17. What is x?
24. 24.Solve: 3y + 5 = y + 33. What is y?
25. 25.The length of a rectangle is 1 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
26. 26.The length of a rectangle is 12 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
27. 27.Solve: 6(n − 5) = 4n + 10. What is n?
28. 28.Solve: t/2 + t/4 = 21. What is t?
29. 29.The length of a rectangle is 10 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
30. 30.Solve: 3n + 8 = n + 32. What is n?
31. 31.The sum of two consecutive whole numbers is 103. What is the smallest of them?
32. 32.Solve: 4x + 1 = 3x + 8. What is x?
33. 33.A father is 14 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
34. 34.A father is 9 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
35. 35.Solve: 4(p − 3) = 2p + 8. What is p?
36. 36.The length of a rectangle is 9 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
37. 37.Solve: 4(m − 5) = 3m + 7. What is m?
38. 38.Solve: 3x + 5 = x + 29. What is x?
39. 39.The sum of two consecutive whole numbers is 65. What is the smallest of them?
40. 40.Solve: 3(n − 2) = 2n + 7. What is n?

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